Complete-Book-On-Simplification-By-Arun-Sir-h9rmu2

1900 – 3340 + ? = 560 135. Ans.(a) is correct ? = 2000 Sol. ? = 8104.32 × 100 = 67 127. Ans.(d) is correct 100.8 120 ? = 104 × 150 + 70 × ( 50 × 180 + 20 ) – 119 136. Ans.(b) is correct 100 100 3×100 Sol. ?2 = 21025 − 3136 − 3869 − 8836 = 5184 ? = 156 + 7 (50) − 119 Or, ? = 72 137. Ans.(c) is correct 10 Sol. ? = 1024×4 = 32 ? = 37 + 35 = 72 256×0.5 128. Ans.(b) is correct 526 + 324 + 90 × 2400 + 640 = (? )3 − 21 × 2000 − 26 138. Ans.(e) is correct Sol. ? = 42875×12 = 5 100 100 70×25×58.8 850 + 2160 + 640 = (?)³ – 420 – 26 (?)³ = 4096 139. Ans.(b) is correct ? = 16 203 = 8000, 33 = 27, 73 = 343 129. Ans.(b) is correct ? = 3√8000 + 3√27 − 3√343 Sol. = 20 + 3 - 7 = 16 35 ÷ 7 × 342 =? Or, ? = 1710 130. Ans.(a) is correct 140. Ans.(d) is correct 805 + 187 + 2? = 1000 14400 ÷ 36 + 15600 ÷ 12 + 450 = 1800+? Or, 2? = 8 400 + 13000 + 450 = 1800+? Or, ? = 3 2150 = 1800 + ? ? = 2150 − 1800 131. Ans.(d) is correct = 350 18? = 187.9 × 180.1 ÷ 184 141. Ans.(a) is correct Or, ? = 7.9 + 0.1 - 4 = 4 750 + 5880 − 6890 = 9000 − ? ? = 9000 − 6440 132. Ans.(b) is correct = 2560 35 22 13 36 38 18 245 142. Ans.(c) is correct ? = 7 + 5 + 5 − 7 − 35 = 35 Sol. Or, ? = 35×35 = 5 32× 25 + 44 × 18 + 348 ÷ 6 = ? ? = 8002 + 792 + 58 245 = 1650 133. Ans.(e) is correct Sol. 88.2 − 4 = 10−? Or, ? = -74.2 143. Ans.(c) is correct 134. Ans.(b) is correct √1225 × 28 + 203 × 7 = (? )2 Sol. ? = 33670 = 65 (? )2 = 35 × 28 + 203 × 7 518 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

= 980 + 1421 ? = 19 = 2401 ? = √2401 151. Ans.(d) is correct = 49 8 × 16 × 16 × = (2)?−2 144. Ans.(a) is correct 8×8 Sol. ? = (28 × 16 - 28)/30 = (448 - 28)/30 = 420/30 = 14 ⇒ (2)?−2 = (2)9 ⇒? − 2 = 9 145. Ans.(a) is correct Sol. ⇒? = 11 ? = (15 × 680/100) + (45 × 340/100) = (10200/100) + (15300/100) 152. Ans.(e) is correct = 102 + 153 = 255 39 38 146. Ans.(c) is correct 13 × 19 × 100 = ? × 10 Sol. ? = 60 (?)2 = 382 - 39 - 93 = 1444 - 39 - 729 = 676 153. Ans.(a) is correct So, ? = 26 3 × 250 + 7 × 750 − 75 = (? )2 147. Ans.(b) is correct 20 20 Sol. ?2 = (3 × 60 × √144)/(∛3375) 75 [1 + 7] − 75 = (? )2 = 3 × 60 × 12/15 2 = 144 = 122 So, ? = 12 ? = 15 148. Ans.(e) is correct 154. Ans.(b) is correct Sol. ? ≈ (40 × 400/100) + (15 × 620/100) 60 − 10 = (16000/100) + (9300/100) 2.5 =? = 160 + 93 = 253 ? = 20 155. Ans.(d) is correct 10000 = ? × 40 ? = 250 156. Ans.(a) is correct Sol. 9× 3 + 1107+42 = ? ? = 1176 157. Ans.(e) is correct Sol. 299+999+302 = ? ? = 1600 158. Ans.(b) is correct Sol. 493+287-334+54 = ?× 5 ? =100 159. Ans.(e) is correct Sol. 149. Ans.(c) is correct √5776 − √1444 + √729 = 43 + ? 76 − 38 + 27 = 43+? 3 2 1 23 ? = 65 − 43 = 22 2 5 + 3 3 − 1 2 − 1 30 = ? 160. Ans.(a) is correct 13 11 3 53 Sol. ? = 5 + 3 − 2 − 30 ?= 3 78 × 26 ÷ 6 + 1262 = 1311 + (? )2 2028 ÷ 6 + 1262 = 1311 + (? )2 150. Ans.(b) is correct 3×4−2+9= ? 338 + 1262 = 1311 + (? )2 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

(? )2 = 1600 − 1311 = 289 Sol. ? = √289 = 17 728 24 161. Ans.(a) is correct ? × 15 + 100 × 550– 38 = 484 Sol. 728 × 15 17 + 13 + 47 = ? ? = 484 + 38– 132 ? = 77 728 × 15 162. Ans.(b) is correct ? = 390 ? = 28 169. Ans.(a) is correct Sol. Sol. ?3 = 8 + 4 × 14 = 43 36 ×? +33 × 4 + √441 = (21)2 ?= 4 36 ×? = 441– 21– 132 163. Ans.(d) is correct 288 ? = 270 − 89 = 181 ? = 36 164. Ans.(d) is correct ?=8 19 29 27 ? = (12 + 12 − 16) 170. Ans.(b) is correct 37 Sol. ? = 16 165. Ans.(e) is correct 568 + 330 – (12)2 = 8 ×? 100 Sol. 8 100 ×? = 898– 144 ? = 132 + 264 = 396 ? = 754×100 166. Ans.(b) is correct 8 ? = 9425 171. Ans.(b) is correct Sol. 26 ? 100 × 250 + 100 × 640 = 225 42 × 650 + 243– √? = 2 × (4)4 100 65 + 6.4×? = 225 273 + 243 – √? = 2 × 256 6.4×? = 160 √? = 516 – 512 160 ? = 6.4 √? = 4 ? = 16 ? = 25 167. Ans.(d) is correct Sol. 172. Ans.(c) is correct Sol. ? × 750 + (15)2 = (8)2+356 299 + 121 - ? = 361 100 ? = 420 – 361 ? ? = 59 100 × 750 + 225 = 64 + 356 173. Ans.(d) is correct ? Sol. 100 × 750 = 195 ? 65 195 × 100 24 + 100 × 260 = 199 ? = 750 ? ? = 26 24 = 199 − 169 168. Ans.(e) is correct ? = 30 × 24 ? = 720 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

174. Ans.(e) is correct Sol. Sol. 1484 ÷ 28 + 1462 ÷ 34 − 12 × 7 = ? ? = 53 + 43 − 84 = 12 25 2.46 × 15 + 100 × 92.4 = 15 × ? 182. Ans.(c) is correct 36.9 + 23.1 = 15 × ? 42.5 × 15 + 37.5 × 25 = 1420 + ? 637.5 + 937.5 = 1420 + ? 60 ? = 1575 − 1420 = 155 ? = 15 183. Ans.(a) is correct Sol. ?=4 175. Ans.(d) is correct 2450 + 3760 − 3830 = 6000 − ? Sol. 2380 = 6000 − ? ? = 6000 − 2380 = 3620 1387 – 433 + ? = 961 ? = 961 – 954 ?=7 176. Ans.(b) is correct Sol. 184. Ans.(b) is correct Sol. 128 4 203 = 8000, 33 = 27, 73 = 343 2 + 2 × 4 = ? + 10 ? = 3√8000 + 3√27 − 3√343 = 20 + 3 - 7 = 16 64 + 8 = ? + 10 ? = 62 177. Ans.(c) is correct Sol. 185. Ans.(b) is correct Sol. 11 We note that 33.33% = 3/9, 66.66% = 6/9 11 + 9+? = 27 So, ? = 189 x (3/9) + 99 x (6/9) 1 + 9+? = 27 = (9 x 21) x (3/9) + (9 x 11) x (6/9) ? = 17 = (3 x 21) + (6 x 11) = 129 178. Ans.(b) is correct Sol. (3)2 × (3)6 × ((3)2)2 ÷ (33)2 186. Ans.(c) is correct (?)2 = 152 + 122 - 8 ⇒ 32+6+4 ⇒ 312 = 36 = 225 + 144 - 8 36 36 = 361 ? = 19 179. Ans.(b) is correct Sol. 123 + 447 − 170 + 500 = ? − 200 570 − 170 + 500 + 200 = ? 187. Ans.(b) is correct ? = 1100 180. Ans.(b) is correct ? = √961 + √1225 + √576 = 31 + 35 + 24 Sol. 196 + 179 + 25 = (? )2 = 90 (? )2 = 400 188. Ans.(d) is correct ? = 20 ? = (5 x 340/100) + (25 x 780/100) 181. Ans.(a) is correct For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

= (1700/100) + (19500/100) 196. Ans.(c) is correct = 17 + 195 = 212 Sol. 0.075×88-1.9=? 189. Ans.(d) is correct ?=6.6-1.9 512 ÷?× 6 = 192 ?=4.7 512 × 6 197. Ans.(d) is correct ? = 192 = 16 Sol. 190. Ans.(a) is correct 4 Sol. 9 × 1080 ÷ 5 + 28 = ? 432 ÷ 48 × 602 ÷ 86 = ? ? = 96 + 28 = 124 9×7=? ?=63 191. Ans.(b) is correct 198. Ans.(c) is correct ≈ 65% × 480 − ? + 175 = 350 3 ≈ ? = 137 8 ×? − 28 = 89 ? = 312 192. Ans.(a) is correct 199. Ans.(c) is correct ? = 3045 ÷ 87 - 54 Sol. = 35 - 54 = -19 1 3 × 5 × 5of3 ×? = 150 200. Ans.(a) is correct 5 6 82 Sol. 8 5 15 5 × 6 × 16 ×? = 150 ? = 120 193. Ans.(b) is correct ? = (12 × 201 × 264)/(67 × 66) = 12 × (201/67) × (264/66) = 12 × 3 × 4 = 144 2.16 × 31.25 27 201. Ans.(c) is correct Sol. ? = 2.5 194. Ans.(d) is correct 712 = 5041, 242 = 576, 642 = 4096 Sol. ? = √5041 + √576 - √4096 6080 ÷ 19 = ? %of 256 = 71 + 24 - 64 = 31 256 202. Ans.(c) is correct 320 = ? × 100 ? = 25(0.26 + 0.24) = 250.50 = 251/2 ? = 125 Since, 251/2 = 5, ? = 51 = 5 203. Ans.(b) is correct 195. Ans.(e) is correct Sol. Sol. 48 4 ? = 342 - 382 + 312 100 × 625 × 3 = ? = 1156 - 1444 + 961 ? = 400 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

= 673 ∴ ? = 13 204. Ans.(d) is correct 211. Ans.(c) is correct Sol. 183 = 5832, 143 = 2744, 63 = 216 180 × 170 16 ×? = 918 + 612 ? = 3√5832 − 3√2744 − 3√216 180 × 170 = 18 - 14 - 6 = -2 ? = 16 × 1530 205. Ans.(e) is correct Sol. ? = 1.25 ? = (29 × 31 - 24)/35 212. Ans.(e) is correct = (899 - 24)/35 Sol. = 875/35 = 25 206. Ans.(c) is correct (?)² = 621 + 144 + 100 – 576 ? = 362 - 282 - 392 (?)² = 289 = (17)² = 1296 - 784 - 1521 = -1009 ? = 17 207. Ans.(d) is correct 213. Ans.(e) is correct Sol,. ? = (780) ÷ (2820 – 2780) (?)2 = 332 - 36 - 93 ? = 780 ÷ 40 = 19.5 = 1089 - 36 - 729 = 324 So, ? = 18 214. Ans.(c) is correct 208. Ans.(e) is correct 25 ?2+ 40 Sol. 100 × 360 + 50 = We note that 55.55% = 5/9, 57.14% = 4/7 So, ? = 45 × (5/9) + 91 × (4/7) ?2 = 140 − 40 = (9 × 5) × (5/9) + (7 × 13) × (4/7) = (5 × 5) + (4 × 13) = 77 ? = 10 209. Ans.(b) is correct 215. Ans.(d) is correct 11 111 324 +?2 = 40 × 1450 ? +2 2 + 1 4 = 1 8 + 4 2 + 7 4 100 1 1 111 324 +?2 = 580 ? = (1 + 4 + 7 – 2 – 1) + [8 + 2 + 4 – 2 – 4] ?2 = 256 1 73 ?= 98 = 8 ? = 16 210. Ans.(d) is correct 216. Ans.(a) is correct Sol. 69 + (5)² × (2)² = (?)² Sol. 169 = (?)² (?)² = (13) ² 56 13 ? + 512 = 100 × 4000 56 ? = 520 − 512 ?= 7 217. Ans.(b) is correct √841 + √1296 − √1024 = √? 29 + 36 − 32 = √? √? = 33 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

? = (33)2 225. Ans.(b) is correct = 1089 Sol. 218. Ans.(b) is correct 36 15 ?3× 6 + 8 = 170 ? = (100 × 5000) ÷ (100 × 1800 + 90) ?3× 6 = 162 = (1800) ÷ (270 + 90) ?3 = 27 ?= 3 1800 = 360 = 5 219. Ans.(e) is correct 51 7 226. Ans.(c) is correct 12 + 4 − ? = 4 Sol. 51 + 21 ? = 12 − 4 525 ?= 6−4 = 2 ? + 2300 + 40 = 1810 + 1580 220. Ans.(a) is correct 525 ? = 3390 – 2340 Sol. 34 × 2 × 31 × 1 = ? − 30. 525 31 ? = 1050 = 0.5 ? = 68 + 30 227. Ans.(a) is correct ? = 98 Sol. 256 + 441 – 169 + (?)² = 852 (?)² = 852 – 528 = 324 ? = ±18 221. Ans.(c) is correct 228. Ans.(a) is correct Sol. 101 + 154 + 26 = 281 Sol. 1 1 121 ? = (12 – 7) + (5 + 8 + 2 – 5 – 4) 222. Ans.(b) is correct = 5 + (8 + 5 + 20 – 16 – 10) 7 40 = 5 40 Sol. 15.5 × 28 × 1 + 1230 × 1 = ? × 1 112 240 5 229. Ans.(b) is correct 31 41 1 8 + 8 =?× 5 Sol. 72 ?= 8 ×5 14 × 21 14 × 21 ? = 45 15 ×? = 4 ? = 15 × 4 = 4.9 223. Ans.(d) is correct 230. Ans.(a) is correct Sol. 9 × 17 + 13 × 378 – 241 = ? Sol. 2652 − 441 + 928 – 1 × 3375 = ? + 961 15 9 2652 − 441 + 928 – 225 – 961 = ? ? = 1953 ? = 153 + 546 – 241 231. Ans.(c) is correct ? = 458 Sol. 9240 × 1 = 330 224. Ans.(c) is correct ? Sol. 1 × 928– 1 × 980 + 144 × 1 = ? ? = 28 87 4 116 – 140 + 36 = ? ? = 12 232. Ans.(e) is correct For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

Sol. 1 × 4913 − 225 = (? )2 4845 + (?)² = 4989 (?)² = 144 17 ? = 12 241. Ans.(c) is correct (? )2 = 64 ?=8 233. Ans.(b) is correct Sol. Sol. ? × 1211 = 24220 1 ? = 20 5760 × 45 × 15 =? ? = 1920 234. Ans.(d) is correct 242. Ans.(b) is correct Sol. 240 × 300 × 1 = ? + 240 Sol. 240 1863 – 187 = ? ? = 1676 ? = 300 – 240 243. Ans.(c) is correct ? = 60 Sol. 235. Ans.(b) is correct 25639 – 8484 = ? Sol. 5 × 92– 16+? = 101 ? = 17155 244. Ans.(b) is correct 4 Sol. 99+? = 101 ?=2 236. Ans.(d) is correct 1 32 3 ? = (2 + 3 – 1 + 3) + (4 + 5 – 3 + 4) Sol. (3 + 4 + 9 + 6) + (1 + 3 + 3 + 7) = ? + 23 + 19 15 + 36 – 40 + 45 56 ? = 7 + ( 60 ) = 7 + 60 2448 8 23 23 14 14 22 + 8 = ? + 8 + 19 = 7 + 15 = 7 15 245. Ans.(a) is correct ?=3 237. Ans.(e) is correct Sol. 27 × 450 – 76.5 = (? )% of 375 Sol. 34 − 12 + 178 − (? )2 = 45 + 55 100 200 − 100 = (? )2 (? )2 = 100 121.5 – 76.5 = ? × 3.75 ? = 10 45 3.75 =? 238. Ans.(a) is correct ? = 12 Sol. 3996 − 3721 − (? )2 = 3150 − 100 − 3000 246. Ans.(d) is correct 275 − (? )2 = 50 Sol. (? )2 = 225 5287 – 2482 = ? ? = 15 239. Ans.(e) is correct ? = 2805 247. Ans.(a) is correct Sol. 14 + 289 − 3 = ? − 632 ? = 932 3 21 11 240. Ans.(a) is correct ? = 12 5 + 5 × 3 Sol. 63 77 ?= 5 + 5 ?= 140 = 28 5 248. Ans.(b) is correct For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

24 × √? = 864 257. Ans.(c) is correct Sol. √? = 36 32.12 + 34.18 + 27.7 = 47 × ? ? = 1296 249. Ans.(c) is correct 47 × ? = 94 1 ?=2 ? = 1615 × 50 × 0.85 258. Ans.(e) is correct ? = 38 Sol. 250. Ans.(d) is correct 384 × 1 × 1 = (2)? 4 3 195 ⇒ 1000 × 78 = ? (2)? = 32 39 × 39 (2)? = (2)5 ⇒ ? = 100 ? = 15.21 251. Ans.(b) is correct ?=5 259. Ans.(a) is correct 168 625 1 Sol. 10 × 100 = 5 ×? ? = 21 × 5 × 5 ? = (1 + 2 – 5 + 4) + (1 + 3 – 2 + 1)?= 2 + 3 ? = 2 3 2 43 6 44 260. Ans.(b) is correct ? = 105 × 5 Sol. ? = 525 ? = 6526 – 596 – 4683 – 1200 252. Ans.(a) is correct ? = 47 261. Ans.(a) is correct 441 × 49 × 9 = (?)² ? = 21 × 7 × 3 Sol. ? = 441 2 3 4 125 253. Ans.(c) is correct 3 × 5 × 5 × 100 ×? = 1112 ? = 556 × 5 Sol. 4 × 3 × 121 = ? ? = 2780 262. Ans.(d) is correct ? = 1452 254. Ans.(e) is correct 1 )2 26 1 780 × + (? = 1326 19 38 × + 3.5 × 4 = (? )2 (? )2 = 1326 − 30 2 + 14 = (?)² (? )2 = 1296 ? =4 ? = 36 255. Ans.(a) is correct 263. Ans.(c) is correct 3375 + 11 = (?)² – 95 Sol. (?)² = 3481 8153.14 - ? = 7592.14 ? = 59 ? = 561 256. Ans.(b) is correct 264. Ans.(b) is correct Sol. 60 100 × 300 + ? = 256 180 + ? = 256 ? = 76 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

Sol. Or, ? = 5 (1 + 2 − 3) + 3 + 5 − 1 = ? × 19 566 15 18 + 25 − 5 19 0 + 30 = ? × 15 272. Ans.(b) is correct 38 15 Sol. 2? = 572 ÷ 26 = 22 × 12 = 264 – 200 = 64 = 26 ? = 30 × 19 ?=1 Or, ? = 6 273. Ans.(a) is correct 265. Ans.(b) is correct Sol. Sol. ? = (4 + 1 – 2) + (1 + 7 − 5) 2 12 6 136 − 96 + 61 101 6 + 7 − 10 1 ? = 36 + 45 + 121 = 202 = 0.5 = 3 + ( 12 ) = 3 4 274. Ans.(e) is correct Sol. 36% of 245 = (40 – 4)% of 245 266. Ans.(d) is correct 2 4 × 245 1 = 5 × 245 − 100 = 98 − 9.8 = 88.2 40% of 210 = 2 × 210 = 84 464 × 16 × 2.32 + 4.5 = ? 100 5 8 + 4.5 = ? Difference = 88.2 – 84 = 4.2 ? = 12.5 + 4.5 ? = 17 ? = 10 – 4.2 = 5.8 267. Ans.(a) is correct 275. Ans.(a) is correct (5863 − 52) × 0.5 = ? + 2601 Sol. (40% = 2) of 265 + (35% of 180 5811 × 0.5 – 2601 = ? ? = 2905.5 – 2601 5 ? = 304.5 268. Ans.(c) is correct = 180% of 35) = 50% of ? ? 145 ⇒ 106 + (180% = 9) of 35 = 50% of ? 1231 − 100 × 500 = 100 × 780 1231 − 5 ×? = 1131 5 ? = 100 × 1 ⇒ 106 + 63 = 50% of ? 5 ⇒ ? = 169 × 2 = 338 ? = 20 276. Ans.(e) is correct 269. Ans.(e) is correct Sol. Sol. Hint: 460 × 15 = 460 × 10 + 1 × 4600 – 100 = 4600 + 2300 – 100 41 2 8 × 208 + 786 = 2000 − ? 41 × 26 + 786 = 2000 - ? = 6900 – 100 = 6800 ? = 2000 – 1066 – 786 ? = 148 277. Ans.(d) is correct 270. Ans.(a) is correct Sol. 5163 + 3209 = 8372 – 4018 = 4354 Sol. √360 − 450 + 379 = √289 = 17 271. Ans.(c) is correct 278. Ans.(b) is correct Sol. 3? = (32)3 × (34)3 = 36 × 38 ÷ 39 = 35 Sol. 21 × 10+ ? = 24 53 ? = 24 – 14 = 10 279. Ans.(c) is correct Sol. 4848 ÷ 24 = 202, 202 × 11 = 2222, 2222 – 222 = 2000 280. Ans.(a) is correct 1750 × 50 + 111 ≈ (? )2 350 ? = 19 281. Ans.(a) is correct For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

2 15 9 290. Ans.(b) is correct ? = 15 × 18 × 7 + 88 × 26 + 562 √3840 + 1440 − 1330 1 60 40 70 = 7 + 2288 + 562 = √64 + 36 − 19 1 = 2850 7 = √81 282. Ans.(e) is correct =9 291. Ans.(c) is correct 31 100 Sol. 4 × 5 × 920 × 650 = ? 4200 525 ? = 21.23 25 × 18 + 40 − 105 = 740−? 450 + 105 − 5 = 740 − ? ������������������ × ������������������������������ = ? −������������ ? = 740 − 550 ������������������ = 190 292. Ans.(d) is correct ������������������ Sol. 283. Ans.(c) is correct 3845 + 43820 + 2640 − 5965 = (? )2 (? )2 = 10865 − 5965 285 × 63000 = 4900 ? = 86 + 525 × 600 = 143 284. Ans.(a) is correct 112 100 ? = 4 × 8888 × 100 × 110 = 36198.4 285. Ans.(b) is correct ? = √4900 = 70 Sol. 293. Ans.(b) is correct Sol. 5 × 18 × 500 1 ? = 45 × 3276000 = 3276 400 ÷ 20 × 35 + 6666 ÷ 33+? = 1100 286. Ans.(a) is correct 20 × 35 + 202 + ? = 1100 ? = 1100 − ( 700 + 202) Sol. = 1100 − 902 = 198 13 × 5700 26 294. Ans.(b) is correct ? = 15 × 8550 = 45 Sol. 287. Ans.(d) is correct 28 × 14.5 + 1680 ÷ 15 + 445 = 1000−? ? = 600 [1716 − 875] 406 + 112 + 445 = 1000 − ? 50 963 = 1000 − ? ? = 1000 − 963 = 37 600 295. Ans.(c) is correct = 841 × 50 = 10092 Sol. 288. Ans.(a) is correct √(256) × √169 + 3600 ÷ 12 = 800 − ? 16 × 13 + 300 = 800 − ? Sol. 208 + 300 = 800 − ? 150+ 270 – 105 × 6 × 5 = ? − 105 − 232 × 7 3 ⇒? = 420 − 1050 + 105 + 1624 = 1099 289. Ans.(c) is correct 1396 + 412 − 2704 ≈? − (31)2 ? ≈ 961 − 896 ≈ 65 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

? = 800 − 508 Sol. = 292 ? = (1728) ÷ (144) 296. Ans.(a) is correct ? = 12 Sol. 303. Ans.(a) is correct Sol. ? = 37.5 × 14 + 800 − (26)2 + 136 ? = 525 + 800 − 676 + 136 ? = √1714 + 260 – 950 ? = 1325 − 540 = 785 ? = √1024 = 32 304. Ans.(c) is correct (52)2.7 × 54.2 ÷ 56.4 = (52)? 297. Ans.(d) is correct ⇒ 55.4 × 54.2 = 52×? 56.4 5430+3780-6430=2260+? 9210-6430=2260+? ⇒ 55.4+4.2 – 6.4 = 52×? 2780=2260+? ⇒ 53.2 = 52×? ?=2780-2260 =520 ⇒ 2 ×? = 3.2 298. Ans.(e) is correct 3.2 ⇒ ? = 2 = 1.6 Sol. 305. Ans.(d) is correct 2160÷12+5740÷14-3150÷15+?=400 180+410-210+?=400 √400 × 42 590-210+?=400 ?= 7 ?=400-380 = 20 × 6 = 120 =20 306. Ans.(d) is correct 299. Ans.(a) is correct Sol. Sol. √3481 × 7 + √5625 × 4 = 500 + ? ? 60 – 40 5= 2 59×7+75×4=500+? ⇒ ? = 5 × 10 413+300=500+? = 50 ?=713-500 307. Ans.(c) is correct =213 621 300. Ans.(a) is correct √? = 27 × 2 – 37 = 46 – 37 = 9 Sol. 220 + 340 + ? = 1 × 2700 + 400 ⇒ ? = 9 × 9 = 81 308. Ans.(d) is correct 18 Sol. ? = 150 + 400 – 220 – 340 250 × 36 50 × 18 100 × 100 =? +10 ? = –10 ⇒ 810 = ? + 10 301. Ans.(c) is correct 28 × 9 × 11 ×? = (10)2 252 22 3 100 × 3 × 22 × 252 ∴ ? = 810 – 10 = 800 ? = 28 × 9 × 11 309. Ans.(b) is correct ? = 600 302. Ans.(e) is correct For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

49– 36 18 315. Ans.(d) is correct 26 = ? 13 18 48 ? 100 × 525 + 100 × 250 = 499 ⇒ 26 = ? 1 18 247 × 100 ? = 250 = 98.8 ⇒2= ? ⇒ ? = 2 × 18 316. Ans.(c) is correct = 36 310. Ans.(c) is correct Sol. Sol. 57 1 2 × 8 × 28 × 1600 = 260 + ? – 499 √(256) × √169 + 3600 ÷ 12 = 800 − ? ? = 499 + 125 – 260 16 × 13 + 300 = 800 − ? = 364 317. Ans.(a) is correct 208 + 300 = 800 − ? ? = 800 − 508 ? = √5125 – 289 – 75 = 292 311. Ans.(a) is correct = √4761 = 69 318. Ans.(b) is correct Sol. Sol. ? = 37.5 × 14 + 800 − (26)2 + 136 ? = 525 + 800 − 676 + 136 (?)² = 16 × 7 + 361 + 11 ? = 1325 − 540 = 484 = 785 ? = ±22. 312. Ans.(d) is correct 319. Ans.(a) is correct Sol. 250 + 283 – 157 + 24 + 100 = 4750 5430+3780 - 6430 = 2260 + ? 9210 - 6430=2260 + ? ? 2780 = 2260 +? ?=2780 -2260 4750 =520 ? = 500 = 9.5 320. Ans.(b) is correct 313. Ans.(e) is correct Sol. 130% × 850 – 175% × 460 = 30 × ? Sol. 2160÷12+5740÷14-3150÷15+ ? = 400 100 180+410-210+ ? =400 590-210+? =400 30 ?=400- 380 ? × 100 = 1105 − 805 = 300 =20 ? = 1000 314. Ans.(a) is correct 321. Ans.(d) is correct Sol. Sol. ? × 40 = 72 × 65 × 121 √3481 × 7 + √5625 × 4 = 500 + ? 3 11 9 13 59×7+75×4=500+ ? 3 413+300 =500+ ? ? = 40 × 8 × 5 × 11 = 33 ?=713-500 322. Ans.(c) is correct =213 Sol. √? = 1872 = 24 12×6.5 ? = 242 = 576 323. Ans.(b) is correct Sol. 3? = √1800 − 1300 + 229 = √729 = 27 = 33 ⇒ ?= 3 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

324. Ans.(e) is correct 312 × 100 Sol. ?2 = 8973 − 2378 + 1577 − 4572 ? = 39 = 800 332. Ans.(e) is correct ?2 = 3600 ⇒ ? = 60 ?2 = 5 352 325. Ans.(b) is correct 40% of 11 × Sol. ? = 2106×100×100 ?2 = 2 × 5 × 352 = 64 52×180×45 5 11 = 50 ⇒ ?= 8 333. Ans.(a) is correct Sol. 326. Ans.(e) is correct 11 195 132 ? × 15 = 108 × 65 Sol. (7 + 6 − 4) + (1 + 2 − 1) = ? − 5 + 4 − 4 − ?=5 334. Ans.(c) is correct 932 Sol. 2+1−3 ? = √60% ������������ 850 + 80% ������������ 550 − 83 × 2 944 = √510 + 440 − 166 122113 ?= 9+5+9+ 3+ 9−2−4+ 4 = 15 327. Ans.(e) is correct Sol. ? = 252 × 276 × 55 × 18 = √784 = 28 335. Ans.(e) is correct 23 630 12 Sol. = 396 (√1444 + √676) 38 + 26 64 328. Ans.(b) is correct 4 4 4 Sol. ? = 33 + 93 = 126 ?2 = = = = 16 329. Ans.(c) is correct ?=4 (2)?+2 512 64 336. Ans.(d) is correct 32 128 = × × 8 Sol. = 29 × 26 × 23 = 29+6+3−5−7 ?2 = 64 × 288 × 16 = 32 = 25 25 × 27 256 × 36 = 26 ?=5 ? +2 = 6 ⇒ ? = 4 337. Ans.(b) is correct 330. Ans.(d) is correct Sol. Sol. 90% ������������ ? = √576 ÷ 3√64 × √729 ? = (6² - 3²)× (8² - 4²) ÷ (10.5² - 1.5²) 24 27 (6 + 3) × (6 − 3) × (8 + 4) × (8 − 4) ? = 4 × 9 × 10 ? = 180 ? = (10.5 + 1.5) × (10.5 − 1.5) 338. Ans.(a) is correct 9 × 3 × 12 × 4 Sol. ? = 12 × 9 = 12 331. Ans.(b) is correct 43 108 Sol. ? = 40% of 320 + 18 × 8 35% ������������ 540 + 410% ������������ 30 = 39% ������������ ? = 128 + 48 = 176 189 + 123 = 39 × ? 339. Ans.(d) is correct 100 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

Sol. 38 85 100 × 250 – 100 × 560 + 13 × ? = 61 60 × 152 ×? = 33 × 42 ⇒ 95 – 476 + 13 × ? = 61 100 19 ⇒13 ×? = 61 + 381 ⇒ ? = 34 ⇒? = 27 × 16 × 100 × 19 = 90 60 × 152 340. Ans.(c) is correct Sol. 3.5 × 18 – (?)² = 36 + 2 63 – 38 = (?)² 347. Ans.(e) is correct 25 = (?)² 19 21 3 1 3 9 × 19 × 7 – 2 =? – 2 ?=5 341. Ans.(b) is correct 13 1– 2 =? – 2 Sol. ?=2 2975 348. Ans.(b) is correct ? = 1190 ? = 2.5 Sol. 342. Ans.(b) is correct 26 12√? – 100 × 1650 + 19 = 13 × 34 Sol. 25 ÷ 4 × 6 12√? – 429 + 19 = 442 3 =? 12√? = 871 – 19 ? = 12.5 343. Ans.(c) is correct 852 √? = 12 = 71 Sol. ? = 5041 (390 + 310 – 225) 4 = ? 349. Ans.(d) is correct (700 – 225) 4 = ? Sol. 475 × 4 = ? 535 26 63 5 1000 × 720 × [28 × 39 × 9] =? ? = 1900 ? = 321 344. Ans.(e) is correct Sol. 350. Ans.(a) is correct 9 × 25 + 1225 + 150 = (?)² Sol. 225 + 1225 + 150 = (?)² 215 142 74 9 + 9 − ?= 9 ? = √1600 283 4 ? = 9 = 31 9 ? = 40 345. Ans.(c) is correct 351. Ans.(c) is correct Sol. 1 1 Sol. 28 12 4900 × × 444 × – 6450 = (? )2 165 × 18 × 1 × 11 + 48 = (? )2 10 27 ⇒ 6475 – 6450 = (?)² (?)² = 11 × 11 + 48 ⇒√25 = ? (?)² = 121 + 48 ⇒?=5 346. Ans.(a) is correct (?)² = 169 ?= 13 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

352. Ans.(b) is correct ? = 24 × 24 ? = 576 Sol. 360. Ans.(b) is correct Sol. 101 + 1001 = ? + 841 59.98 = ? – 15.81 ? = 75.79 ? = 261 361. Ans.(d) is correct 353. Ans.(a) is correct Sol. 1863 - ? = 202.64 Sol. ? = 1660.36 362. Ans.(c) is correct 1 Sol. 9240 × ? = 440 9240 ? = 440 = 21 354. Ans.(e) is correct Sol. ? × 1211 × 5 = 24220 44.5 − 5.5 = √? √? = 39 24220 ? = (39)² = 1521 ? = 1211 × 5 363. Ans.(a) is correct Sol. ?= 4 22 + 93 + 361 = 441 + 33 + ? 355. Ans.(b) is correct 476 – 474 = ? ?=2 ? = (30 × 8) × (12 × 4) × (17 1 10) × 1 × 289 364. Ans.(e) is correct × 96 Sol. ? = 204 356. Ans.(e) is correct Sol. 1 24 × √? = 864 √31 + 29 − 25 × 5 × √35 = ? 1 1 √? = 864 × 24 ? = √35 × 5 × √35 √? = 36 ?=7 ? = 1296 365. Ans.(a) is correct 357. Ans.(d) is correct Sol. (? )2 × 1 = 40 × 5 × 400 Sol. 352 100 11 (? )2 = 40 × 5 ×4 × 352 = 25600 6526 – 596 – ? = 4683 11 ? = 1247 (? )2 = (160)2 ? = 160 366. Ans.(b) is correct 358. Ans.(c) is correct Sol 60 3 × 14 × 34 = (? )2 100 × 32 ×? = 27 × 16 25 17 21 27 × 16 × 10 (? )2 = 4 ? = 6 × 32 = 22.5 25 359. Ans.(b) is correct 2 ? = 5 = 0.4 Sol. 367. Ans.(b) is correct 11 Sol. 8 × ? = 33 × 11 × 24 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

34 45 624 100 × 250 − 100 × 340 + 150 = ? ? = 208 = 3 85 – 153 + 150 = ? 374. Ans.(a) is correct Sol. ? = 82 ? 11 368. Ans.(a) is correct 100 × 625 + 3 × 750 + 11 × 5500 – 25 = 1000 Sol. ? × 6.25 + 250 +500 – 25 = 1000 ? × 6.25 = 275 17 53 91 252 ? = 44 19 × 221 × 106 = ? × 4 375. Ans.(d) is correct Sol. 7 252 19 × 2 = ? × 4 1645 + 1500 + ? = 3600 ? = 455 252 19 × 2 376. Ans.(e) is correct ?= 4 × 7 Sol. 2450 – 1540 + 1700 – 710 = ? × 1900 ? = 18 × 19 ? = 342 100 369. Ans.(c) is correct ? × 19 = 1900 Sol. ? = 100 377. Ans.(c) is correct (1 + 3 + 2 + 1 − 1 − 1) + (45 + 2 + 2 + 1 − 1 − 16) =? Sol. 5 3 6 9 2 × 1325 + 299 + 271 = 1 × 3300 + ? ?= 5+ 72 + 36 + 60 + 15 − 10 − 15 53 90 530 + 299 + 271 = 1100 + ? ?=0 34 378. Ans.(a) is correct ? = 5 + 1 45 Sol. 250 + 283 – 157 + 24 + 100 = 4750 ?= 6 34 ? 45 4750 370. Ans.(a) is correct ? = 500 = 9.5 Sol. 379. Ans.(d) is correct 3 × 4200 + 625 + 1000 – 700 = (? )2 2250 + 270 – 20 + 125 + ? = 3600 8 ? = 975 380. Ans.(c) is correct (?)² = 1575 + 625 + 1000 – 700 = 2500 Sol. ? = 50 (2/5){(3/5) × 750 + 40% of 375} = ? × 16 371. Ans.(c) is correct (2/5){3 × 150 + 0.40 × 375} ÷ 16 = ? (450 + 150) ÷ 40 = ? ? +62.5 ? = 600 ÷ 40 3 + 360 – 144 – 20 = 169 + 87 ? = 15 381. Ans.(a) is correct ? + 62.5 = (169 + 87 + 144 + 20 – 360) × 3 Sol. ? = 180 – 62.5 = 117.5 372. Ans.(d) is correct Sol. 270 + 121 – √? = 361 √? = 30 ? = 900 373. Ans.(b) is correct Sol. 624 ? + 21 + 27 = 36 + 220 624 ? = 208 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

(42% of 1500 – 230) ÷ 25 = ? ÷ 4 (5/6){(122 + 221) – (212 + 112)} = ? ÷ 24 (0.42 × 1500 – 230) ÷ 25 = ? ÷ 4 (5/6) × 19 × 24 = ? (630 – 230) ÷ 25 = ? ÷ 4 ? = 5 × 19 × 4 (400 ÷ 25) × 4 = ? ? = 380 16 × 4 = ? 388. Ans.(a) is correct ? = 64 Sol. 382. Ans.(d) is correct (1600 – 160 – 16) ÷ 16 = ? Sol. 1424 ÷ 16 = ? {(420 ÷ 28)% of 1400} ÷ 7 = ? ? = 89 (15% of 1400) ÷ 7 = ? 389. Ans.(e) is correct (0.15 × 1400) ÷ 7 = ? Sol. 210 ÷ 7 = ? ? = 30 (16 × 15) + (45 × 12) + (30 × 24) = ? 383. Ans.(c) is correct 15 × (16 + 36 + 48) = ? (15 × 16) + 242= ? × 16 15 × 100 = ? (240 + 576) ÷ 16 = ? ? = 1500 816 ÷ 16 = ? 390. Ans.(a) is correct ? = 51 Sol. 384. Ans.(a) is correct (22% of 1500 + 15% of 2200) = ? × 11 Sol. (0.22 × 1500 + 0.15 × 2200) ÷ 11 = ? (2/5)(32% of 4500 – 440) = ? × 8 (330 + 330) ÷ 11 = ? (0.32 × 4500 – 440) ÷ 20 = ? ? = 660 ÷ 11 ? = (1440 – 440) ÷ 20 ? = 60 ? = 1000 ÷ 20 391. Ans.(c) is correct ? = 50 Sol. 385. Ans.(b) is correct (342 – 20% of 5280) = ? ÷ 3 Sol. (1156 – 0.20 × 5280) × 3 = ? (6/7) × 1050 – (3/8) × 1200 = ?% of 750 (1156 – 1056) × 3 = ? 900 – 450 = ?% of 750 ? = 100 × 3 ?% = 450/750 ? = 300 ?% = 0.6 392. Ans.(d) is correct ? = 60 Sol. 386. Ans.(d) is correct 321 + 52 × 5 – 125 = ? × 12 Sol. 321 + 260 – 125 = ?× 12 35% of 1600 – 142 = ? × 14 ? × 12 = 456 (0.35 × 1600 – 196) ÷ 14 = ? ? = 38 (560 – 196) ÷ 14 = ? 393. Ans.(e) is correct 364 ÷ 14 = ? Sol. ? = 26 (78 × 15) ÷ 52 × 8 = ? + 55 387. Ans.(c) is correct 22.5 × 8 – 55 = ? Sol. ? = 125 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

394. Ans.(e) is correct ? = 0.24 × 0.35 × 1.5 × 2500 Sol. ? = 315 (48 × 12) ÷ 18 × 8 = 4? 401. Ans.(c) is correct 4? = 8 × 32 Sol. 4? = 256 32% of 3500 + 28% of 2500 = ?% of 7280 4? = 44 32 × 35 + 28 × 25 = ?% of 7280 ? = 4 1120 + 700 = ?% of 7280 395. Ans.(d) is correct 1820 = ?% of 7280 Sol. ? = 25 645 + 255 + 365 – 575 = ? 402. Ans.(e) is correct ? = 1265 – 575 Sol. ? = 690 37.5% of 2016 + 25% of 3648 = ? × 12 396. Ans.(c) is correct 0.375 × 2016 + 0.25 × 3648 = ? × 12 Sol. ? × 12 = 756 + 912 62.5% of 640 + 45% of ? = 252 ? = 1668/12 = 139 400 + 0.45 × ? = 625 403. Ans.(d) is correct 0.45 × ? = 225 Sol. ? = 500 According to the question, 397. Ans.(b) is correct x × 20% × 5/3 × 35% + 46 = 74 Sol. x × 1/5 × 5/3 × 7/20 = 28 (7/8 + 7/16) × 256 – 12 = ?2 x = 240 21/16 × 256 – 12 = ?2 404. Ans.(c) is correct ?2 = 324 Sol. ? = ± 18 22.5% of 400 + 32% of 625 = ? + 100 398. Ans.(a) is correct 9/40 × 400 + 8/25 × 625 = ? + 100 Sol. 90 + 200 = ? + 100 16/15 of 21/28 of 321.5 = ? ? = 190 16/15 × 3/4 × 321.5 = ? 405. Ans.(d) is correct 4/5 × 321.5 = ? Sol. ? = 257.2 (315 × 81) ÷ 45 – 147 = ? × 3 399. Ans.(e) is correct 7 × 81 – 147 = ? × 3 Sol. 567 – 147 = ? × 3 √4096 + √3249= (?)2 420/3 = ? ? = 140 64 + 57 = ?2 406. Ans.(a) is correct ? = √121 Sol. ? = 11 400. Ans.(c) is correct √1521 + √1681= ?2 - 41 Sol. 39 + 41 = ?2 – 41 24% of 35% of 150% of 2500 = ? 80 + 41 = ?2 ?2 = 121 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

? = ± 11 Sol. 407. Ans.(e) is correct (7800 ÷ 312) + 65% of 1120 = 9 × ? + 24 Sol. 25 + 0.65 × 1120 = 9 × ? + 24 964 + 256 - ? = 465 + ? + 121 25 + 728 – 24 = 9 × ? 964 + 256 – 465 – 121 = 2 × ? ? = 729 ÷ 9 ? = 634/2 ? = 81 ? = 317 414. Ans.(c) is correct 408. Ans.(b) is correct Sol. Sol. ? × 15 + (3960 ÷ 12) = 262 + (350 ÷ 25) (1/2 × 4/5 + 3/5 – 1/5) × 245 = ? ? × 15 + 330 = 676 + 14 (2/5 + 3/5 – 1/5) × 245 = ? ? = (690 – 330) ÷ 15 ? = 4/5 × 245 ? = 196 ? = 24 409. Ans.(a) is correct Hence, option c. Sol. 415. Ans.(e) is correct ? = 45% of 2400 – 152 – 282 Sol. ? = 1080 – 225 – 784 45% of 1200 – 32% of 1500 = 15% of ? ? = 1080 – 1009 (0.45 × 1200 – 0.32 × 1500) ÷ 0.15 = ? ? = 71 ? = (540 – 480) ÷ 0.15 410. Ans.(c) is correct ? = 400 Sol. Hence, option e. 23% of ? = 25% of 448 + 12 ×√(841) – 20% of 460 416. Ans.(b) is correct 23% of ? = 112 + 12 × 29 – 92 Sol. 23% of ? = 112 + 348 – 92 (322 – 222) ÷ 32= ? 23% of ? = 368 (1024 – 484) ÷ 9 = ? ? = 1600 ? = 540 ÷ 9 411. Ans.(a) is correct ? = 60 Sol. Hence, option b. 417. Ans.(a) is correct √3481 + √4356= ?% of 500 Sol. 59 + 66 = ?% of 500 {(45 × 220) ÷ 33} + 325 = ? ?% of 500 = 125 {9900 ÷ 33} + 325 = ?2 ? = 125 × 100/500 = 25 ?2 = 300 + 325 412. Ans.(d) is correct ?2 = 625 Sol. ? = 25 (4/9) × 486 + 35% of 120 +(3/8) × 208 = ? Hence, option a. 4 × 54 + 0.35 × 120 + 3 × 26= ? 418. Ans.(b) is correct ? = 216 + 42 + 78 Sol. ? = 336 (111 + 121 + 131 + 141) ÷ 21 = ? Hence, option d. 504 ÷ 21 = ? 413. Ans.(a) is correct ? = 24 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

Hence, option b. 93 × (8910 ÷ 110) = (14580 ÷ 20) × ? 419. Ans.(e) is correct 729 × 81 = 729 × ? Sol. ? = 81 22% of 3500 – 152 = 20% of 725 + ? Hence, option c. 0.22 × 3500 – 225 – 0.20 × 725 = ? 425. Ans.(b) is correct ? = 770 – 225 – 145 Sol. ? = 400 Hence, option e. 262 + 113 - √49 = 2 × ?3 420. Ans.(d) is correct 676 + 1331 – 7 = 2 × ?3 Sol. 2000 = 2 × ?3 ?% of 4200 + 1380 × 5/46 = 25% of 3120 ? = 10 ?% of 4200 + 150 = 0.25 × 3120 Hence, option b. ? = {(780 – 150) × 100}/4200 426. Ans.(d) is correct ? = 15 Sol. Hence, option d. 65% of 1200 – 15% of 400 = ?3 × 45% of 200 421. Ans.(e) is correct 0.65 × 1200 – 0.15 × 400 = ?3 × 0.45 × 200 Sol. (780 – 60)/90 = ?3 13 × 8 + 13 × 12 + 13 × 16 + 13 × 20 = ?× 8 ?3 = 8 13 × (8 + 12 + 16 + 20) = ? × 8 ?=2 ? = (13 × 56) ÷ 8 Hence, option d. ? = 91 427. Ans.(c) is correct Hence, option e. Sol. 422. Ans.(b) is correct 35% of 5000 – 322 + 3 = ? Sol. 0.35 × 5000 – 1024 + 3 = ? 737 × 3 + 363 × 2 + 11 × 33 = ? × 11 1750 – 1024 + 3 = ? Dividing by 11 ? = 729 67 × 3 + 33 × 2 + 33 = ? Hence, option c. 3 × (67 + 22 + 11) = ? 428. Ans.(a) is correct ? = 3 × 100 Sol. ? = 300 20% of 5000 – 25% of 3000 = ? × 52 Hence, option b. 0.20 × 5000 – 0.25 × 3000 = ? × 25 423. Ans.(d) is correct 1000 – 750 = ? × 25 Sol. ? = 250/25 = 10 ? × 32 – 25% of (480 × 128) = 0 Hence, option a. ? × 32 – 0.25 × 480 × 128 = 0 429. Ans.(a) is correct ? × 32 – 120 × 128 = 0 Sol. ? = 480 16 × 15 – 240 – 32 × 10 + 420 = ?2 Hence, option d. 240 – 240 – 320 + 420 = ?2 424. Ans.(c) is correct -320 + 420 = ?2 Sol. ? = 10 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

Hence, option a. ? = (2000 – 1000) ÷ 25 430. Ans.(e) is correct ? = 40 Sol. Hence, option d. 65% of 200 – 26% of 500 = ? 436. Ans.(a) is correct 0.65 × 200 – 0.26 × 500 = ? Sol. ? = 130 – 130 ? = (28 x 16 - 28)/30 ?=0 = (448 - 28)/30 Hence, option e. = 420/30 = 14 431. Ans.(a) is correct 437. Ans.(a) is correct Sol. Sol. 45% of 1500 – 2 × 52= ?2 ? = (15 x 680/100) + (45 x 340/100) 0.45 × 1500 – 2 × 25 = ?2 = (10200/100) + (15300/100) 675 – 50= ?2 = 102 + 153 = 255 ? = 25 438. Ans.(c) is correct Hence, option a. Sol. 432. Ans.(c) is correct (?)2 = 382 - 39 - 93 Sol. = 1444 - 39 - 729 = 676 (32 × 25) – 202 = 20% of ? So, ? = 26 (800 – 400) × 5 = ? 439. Ans.(a) is correct ? = 2000 Sol. Hence, option c. Equating the powers of 2, 11 we have: 433. Ans.(e) is correct 2(2/3) = 22 x 4/5 x 2a/6 Sol. 2(2/3) = 28/5 x 2a/6 22% of 5000 + 14% of 400 = ?2 So, 2/3 = 8/5 + a/6 0.22 × 5000 + 0.14 × 400 = ?2 a = 6 x (2/3 - 8/5) 1100 + 56 = ?2 a = -28/5 ? = 34 11(3/4) = 114+b Hence, option e. b = 3/4 - 4 434. Ans.(b) is correct b = -13/4 440. Ans.(b) is correct Sol.73 – 132– ? = 25% of 120 Sol. 343 – 169 – 0.25 × 120= ? ?2 = (3 x 60 x √144)/(∛3375) 174 – 30 = ? = 3 x 60 x 12/15 ? = 144 = 144 = 122 Hence, option b. So, ? = 12 441. Ans.(c) is correct 435. Ans.(d) is correct Sol. Sol. 80% of 2500 - ?% of 2500 = 103 ? = 132 x (21/6) - √625 (0.80 × 2500 – 1000) ÷ 25 = ? = 22 x 21 - 25 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

= 462 - 25 = 437 5(3/4) = 56+b 442. Ans.(c) is correct b = 3/4 - 6 Sol. b = -21/4 ? = 472 + 602 - 572 448. Ans.(c) is correct = 2209 + 3600 - 3249 = 2560 Sol. 443. Ans.(d) is correct ? = 150 x 11 + 230 x 9 Sol. = 1650 + 2070 = 3720 (?)2 = 192 - 11 - 53 449. Ans.(b) is correct = 361 - 11 - 125 = 225 Sol. So, ? = 15 444. Ans.(b) is correct ? = (900/6) - 14 x 11 + √225 Sol. = 150 - 154 + 15 We note that 12.5% = 1/8, 20% = 1/5, 55.55% = 5/9 =11 So, ? = 200 x (1/8) + 100 x (1/5) + 45 x (5/9) 450. Ans.(e) is correct = (8 x 25) x (1/8) + (5 x 20) x (1/5) + (9 x 5) x (5/9) Sol. = (1 x 25) + (1 x 20) + (5 x 5) = 70 We note that 66.66% = 2/3, 77.77% = 7/9 445. Ans.(a) is correct So, ? = 33 x (2/3) + 261 x (7/9) Sol. = (3 x 11) x (2/3) + (9 x 29) x (7/9) Equating the powers of 12, 13 we have: = (2 x 11) + (7 x 29) = 225 12(3/4) = 122 x 2/4 x 12a/4 451. Ans.(a) is correct 12(3/4) = 124/4 x 12a/4 Sol. So, 3/4 = 4/4 + a/4 (?)2 = 162 + 322 - 55 a = 4 x (3/4 - 4/4) = 256 + 1024 - 55 a = -1 = 1225 13(3/4) = 134+b ? = 35 b = 3/4 - 4 452. Ans.(b) is correct b = -13/4 Sol. 446. Ans.(d) is correct (0.33)107 ÷ (0.32)59 = (0.31)? Sol. (0.3)(3x107 - 2x59) = (0.31)? (0.43)113 ÷ (0.42)54 = (0.43)? So, ? = (3x107 - 2x59 )/1 = 203 (0.4)(3x113 - 2x54) = (0.43)? 453. Ans.(c) is correct So, ? = (3x113 - 2x54 )/3 = 77 Sol. 447. Ans.(c) is correct Sol. ?2 = (78 x 120 x 3√2197)/(√400) Equating the powers of 10, 5 we have: = 78 x 120 x 13/20 10(3/4) = 102 x 2/6 x 10a/5 = 6084 = 782 10(3/4) = 104/6 x 10a/5 So, ? = 78 So, 3/4 = 4/6 + a/5 454. Ans.(b) is correct a = 5 x (3/4 - 4/6) Sol. a = 5/12 ? = 195 x 16 + 280 x 4 = 3120 + 1120 = 4240 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

455. Ans.(c) is correct 463. Ans.(c) is correct Sol. Sol. We note that 71.42% = 5/7, 77.77% = 7/9 So, ? = 189 x (5/7) + 306 x (7/9) ? = 36 x (28/6) - √961 = (7 x 27) x (5/7) + (9 x 34) x (7/9) = 6 x 28 - 31 = (5 x 27) + (7 x 34) = 373 = 168 - 31 = 137 456. Ans.(e) is correct 464. Ans.(b) is correct Sol. Sol. ? = (35 x 34 - 30)/40 ? = (660/6) - 15 x 12 + √256 = (1190 - 30)/40 = 110 - 180 + 16 = 1160/40 = 29 =-54 465. Ans.(d) is correct 457. Ans.(b) is correct Sol. Sol. ? = 36 x 16 - 48 x 50 ? = 115 x 15 + 150 x 11 = 576 - 2400 = 1725 + 1650 = 3375 = -1824 458. Ans.(d) is correct 466. Ans.(e) is correct Sol. Sol. 73 = 343, 133 = 2197, 143 = 2744 ? = (45 x 580/100) - (30 x 530/100) ? = 3√343 − 3√2197 + 3√2744 = (26100/100) - (15900/100) = 7 - 13 + 14 = 8 = 261 - 159 = 102 459. Ans.(d) is correct 467. Ans.(e) is correct Sol. Sol. ? = 362 - 452 - 242 422 = 1764, 952 = 9025, 622 = 3844 = 1296 - 2025 - 576 = -1305 460. Ans.(e) is correct ? = √1764 + √9025 + √38444 Sol. = 42 + 95 + 62 = 199 (?)2 = 202 + 162 - 31 468. Ans.(d) is correct = 400 + 256 - 31 ? = 302 - 332 - 142 = 625 = 900 - 1089 - 196 ? = 25 = -385 461. Ans.(d) is correct 469. Ans.(a) is correct Sol. Sol. ? = 1024(0.18 + 0.22) = 10240.40 = 10242/5 193 = 6859, 123 = 1728, 133 = 2197 Since, 10241/5 = 4, ? = 42 = 16 ? = 3√6859 + 3√1728 + 3√2197 462. Ans.(e) is correct = 19 + 12 + 13 = 44 Sol. 470. Ans.(a) is correct ? = 192 + 362 + 372 Sol. = 361 + 1296 + 1369 = 3026 ? = 168 x (27/7) - √256 = 24 x 27 - 16 = 648 - 16 = 632 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

471. Ans.(c) is correct ? = 32(0.03 + 0.57) = 320.60 = 323/5 Sol. Since, 321/5 = 2, ? = 23 = 8 ? = 142 + 152 - 342 480. Ans.(d) is correct = 196 + 225 - 1156 = -735 Sol. 472. Ans.(a) is correct (?)2 = 322 - 6 - 93 ? = 72 x (9/6) - √1681 = 1024 - 6 - 729 = 289 = 12 x 9 - 41 So, ? = 17 = 108 - 41 = 67 473. Ans.(e) is correct 481. Ans.(b) is correct Sol. Sol. (?)2 = 142 + 342 - 56 ? = (33 x 20 - 20)/40 = 196 + 1156 - 56 = (660 - 20)/40 = 1296 = 640/40 = 16 ? = 36 482. Ans.(d) is correct 474. Ans.(a) is correct Sol. Sol. ? = 142 + 152 - 592 = 196 + 225 - 3481 = -3060 ?2 = (10 x 16 x √100)/(3√64) 483. Ans.(a) is correct = 10 x 16 x 10/4 Sol. = 400 = 202 ? = 19 x 44 - 14 x 40 So, ? = 20 = 836 - 560 475. Ans.(e) is correct = 276 SOL. 484. Ans.(e) is correct ? = 135 x 15 + 190 x 3 Sol. = 2025 + 570 = 2595 ? = (35 x 460/100) + (80 x 685/100) 476. Ans.(e) is correct = (16100/100) + (54800/100) Sol. = 161 + 548 = 709 252 = 625, 43 = 64, 94 = 6561 485. Ans.(c) is correct ? = 625 - 4 + 9 Sol. = 630 (?)2 = 132 + 262 - 4 477. Ans.(c) is correct = 169 + 676 - 4 Sol. = 841 ? = (15 x 95 x 39)/(19 x 13) ? = 29 = 15 x (95/19) x (39/13) = 15 x 5 x 3 = 225 486. Ans.(e) is correct 478. Ans.(d) is correct Sol. 862 = 7396, 202 = 400, 802 = 6400 ?2 = (2 x 24 x √4)/(3√216) ? = √7396 + √400 + √6400 = 2 x 24 x 2/6 = 86 + 20 + 80 = 186 = 16 = 42 479. Ans.(e) is correct So, ? = 4 Sol. 487. Ans.(d) is correct For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

Sol. ? = 513 ? = 175 x 8 + 310 x 5 Hence, option a. = 1400 + 1550 = 2950 494. Ans.(e) is correct 488. Ans.(b) is correct Sol. 495. Ans.(b) is correct 252 = 625, 103 = 1000, 64 = 1296 ? = 625 - 10 + 6 = 621 489. Ans.(a) is correct Sol. (80% of 1400 + 70% of 2800) = ? 496. Ans.(a) is correct 1120 + 1960 = ? 497. Ans.(d) is correct ? = 3080 498. Ans.(e) is correct Hence, option a. 499. Ans.(b) is correct 490. Ans.(b) is correct 500. Ans.(a) is correct Sol. (122 × 2 – 162) = ? (144 × 2 – 256) = ? 288 – 256 = ? ? = 32 Hence, option b. 491. Ans.(b) is correct Sol. 232 + (242 ÷ 16) + 40% of 600= ? 529 + (576 ÷ 16) + 240= ? 529 + 36 + 240 = ? ? = 805 Hence, option b. 492. Ans.(b) is correct Sol. (20% of 352) + 186 ÷ 6 – 27 × 6 = ? (20% of 1225) + 31 – 162 = ? 245 + 31 – 162 = ? ? = 114 Hence, option b. 493. Ans.(a) is correct Sol. (16 × 9 of 2 + 152) = ? (16 × 18 + 225) = ? 288 + 225 = ? For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

501. Ans.(d) is correct 511. Ans.(b) is correct 502. Ans.(d) is correct 503. Ans.(c) is correct 512. Ans.(a) is correct Sol.9801+1137-1898+2346 = ? + 2446 ⇒ 11386-2446= ? ⇒ ?=8940 513. Ans.(e) is correct 504. Ans.(b) is correct 514. Ans.(e) is correct Sol. 505. Ans.(c) is correct Sol.340+1428-1312+4 =? ? = 540 – 392 ? = 460 = 148 506. Ans.(a) is correct 515. Ans.(d) is correct Sol.158×11-1750+1131+221= ? Sol. ? =1340 ? = 81.701 507. Ans.(b) is correct 516. Ans.(d) is correct Sol.490- 2160+3160+121 = ? Sol. ? = 1611 ? = 12.52 508. Ans.(c) is correct 517. Ans.(a) is correct Sol. 509. Ans.(a) is correct Sol. ? = 475 + 608 – 900 = 183 518. Ans.(b) is correct 29 + 17 – 18 = ? – 124 + 12 Sol. 28 + 124 – 12 = ? ? = 140 64 47 4 ? (256)2 510. Ans.(d) is correct 1000 × 107 = (10) × 108 4 ? 47+3–8 ⇒ (10) = 102 42 = (10) ⇒ ?=2 519. Ans.(d) is correct Sol. ⇒ 249 + 1149 + 2 =? +1335 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

⇒ ? = 1400 − 1335 18? = 187.9 × 180.1 ÷ 184 Or, ? = 7.9 + 0.1 - 4 = 4 = 65 527. Ans.(b) is correct 520. Ans.(a) is correct Sol. Sol. 33 × 27 3 35 22 13 36 38 18 245 ⇒ 37 × 11.25 + 45 × 4 ? = 7 + 5 + 5 − 7 − 35 = 35 Or, ? = 35×35 = 5 33 ⇒ 34 × 11.25 + 33.75 245 528. Ans.(e) is correct ⇒ 37.5 Sol. 521. Ans.(c) is correct 88.2 − 4 = 10−? Or, ? = -74.2 Sol. 529. Ans.(b) is correct Sol. ? = 31.3 140 × 36.5 100 ⇒ 100 × 80 × 12.5 530. Ans.(c) is correct ∴ ? = 5.11 Sol. ? = 12.4 – 6.5 522. Ans.(d) is correct = 5.9 Sol. 531. Ans.(d) is correct 385 × 12 4 ⇒ 8 +? = 344 + 3 ×? Sol. ? = 3545.64 4 ⇒ 577.5 − 344 = (3 − 1) ×? 12.25×21.6 ⇒ ? = 3 × 233.5 = 13.4 532. Ans.(b) is correct ? = 700.5 Sol. ? = 15.5 × 646 + 24.5 × 298 523. Ans.(e) is correct 100 100 Sol. = 173.14 533. Ans.(c) is correct 40 × 3.5 80 × 3.5 (? ) Sol. ? = (2 + 1 + 2) + (1 + 1 + 1) ⇒ 100 + 100 = 10 354 140 + 280 ? ⇒ 100 = 10 =5+ 20 + 12 + 15 ⇒ ? = 42 60 524. Ans.(b) is correct 47 = 5 60 534. Ans.(b) is correct Sol. Sol. ? = 72.089 535. Ans.(c) is correct 35 ÷ 7 × 342 =? Or, ? = 1710 Sol. ? = 192 – 32 + 211 525. Ans.(a) is correct = 371 Sol. 536. Ans.(e) is correct 805 + 187 + 2? = 1000 Sol. ? = 18.42 – 15 Or, 2? = 8 Or, ? = 3 = 3.42 526. Ans.(d) is correct 537. Ans.(a) is correct Sol. Sol. 56 × 958 + 67 × 1008 =? × 20 100 100 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

? = 60.592 Sol. ? = (1+2–2) +  2  1 – 1  538. Ans.(a) is correct  5 7 2  Sol. ? = 491.91 539. Ans.(d) is correct = 1 + (28  10 –35) =1 3 Sol. 70 70 ?13  21 ⇒ ? = 9,261 550. Ans.(c) is correct 540. Ans.(c) is correct Sol.?=12,303-3,219 Sol. ?2 = 56 + 25 = 9,084  ?2 = 81 541. Ans.(a) is correct Sol.  ?= 9 ? = 880 551. Ans.(b) is correct 542. Ans.(d) is correct Sol. Ans. (b) ? = 110.8 – 37.9 ? = 72.9 Sol. ? = 23, 350 543. Ans.(b) is correct Sol. 552. Ans.(d) is correct ? = 581 + 207 = 788 Ans. (d) 544. Ans.(a) is correct Sol. ? = 66.52 – 50.79 Sol.(40% = 2) of 265 + (35% of 180) = 50% of ? =15.73 5 553. Ans.(a) is correct ⇒ 106 + 63 = 50% of ? Sol. (1.1)? =  11 5  ? = 5  10  ⇒ ? = 169 × 2 = 338 545. Ans.(e) is correct 554. Ans.(b) is correct Sol. Sol. ? =100 + 150 460× 15 − 5 × 20 =? ? = 6900 – 100 = 6800 = 250 546. Ans.(d) is correct 555. Ans.(c) is correct Sol. 5163 + 3209 = 8372 – 4018 = 4354 547. Ans.(b) is correct 13? Sol. 4 =26 Sol.21 × 10 + ? = 24  ? = 676 4 53 13 ? = 24 – 14 = 10  ? = 208 548. Ans.(c) is correct Sol. 4848 ÷ 24 = 202, 556. Ans.(a) is correct 202 × 11 = 2222, 2222 – 222 = 2000 Sol. ? = 0.333 + 2.02 549. Ans.(e) is correct = 2.353 557. Ans.(b) is correct Sol. ? = 4.6 × 2.5 – 3.2 ? = 8.3 558. Ans.(e) is correct 77 Sol. ?2 = (11)2  ? = 11 559. Ans.(e) is correct Sol. ? = 69.9 + 107.1 – 174 ?=3 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

560. Ans.(d) is correct Sol. Hint: 460 × 15 = 460 × 10 + 1× 4600 – 100 = 4600 + 2300 – 100 Sol. ? = 21.35 – 3.75 = 17.6 561. Ans.(a) is correct 2 Sol. ? = 5612 – 1394 = 4218 562. Ans.(e) is correct = 6900 – 100 = 6800 Sol. ? = 4207 – 3007 = 1200 573. Ans.(d) is correct 563. Ans.(d) is correct Sol. 5163 + 3209 = 8372 – 4018 = 4354 Sol. ? = 21 × 84 – 89 = 1675 574. Ans.(b) is correct 564. Ans.(c) is correct Sol. ? = 55.8 + 7.2 – 38.2 = 24.8 Sol. 21 × 10 + ? = 24 565. Ans.(b) is correct Sol. ? = 589.57 53 566. Ans.(a) is correct ? = 24 – 14 = 10 Sol. √360 − 450 + 379 = √289 = 17 575. Ans.(c) is correct 567. Ans.(c) is correct Sol. 4848 ÷ 24 = 202, Sol. 3? = (32)3 × (34)3 = 36 × 38 ÷ 39 = 35 202 × 11 = 2222, 2222 – 222 = 2000 Or, ? = 5 576. Ans.(b) is correct 568. Ans.(b) is correct Sol. Sol. 2? = 572 ÷ 26 = 22 × 12 = 264 – 200 = 64 = 26 ? = 700 × 3456 + 200 × 1881 – 50 × 12354 Or, ? = 6 569. Ans.(a) is correct 900 300 300 Sol. ? = (4 + 1 – 2) + (1 + 7 − 5) = 7 × 384 + 2 × 627 – 2059 = 2688 + 1254 – 2059 2 12 6 = 1883 577. Ans.(c) is correct 6 + 7 − 10 1 Sol. = 3 + ( 12 ) = 3 4 570. Ans.(e) is correct ? = 5√3 × 108 + 160 + 2 + 45 × 460 Sol. 36% of 245 = (40 – 4)% of 245 2 4 × 245 4 100 = 5 × 245 − 100 = 98 − 9.8 = 88.2 40% of 210 = 2× 210 = 84 = 5√243 + 45 × 460 5 100 Difference = 88.2 – 84 = 4.2 = 3 + 207 ? = 10 – 4.2 = 5.8 571. Ans.(a) is correct = 210 Sol. (40% = 2) of 265 + (35% of 180 578. Ans.(d) is correct 5 Sol. = 180% of 35) = 50% of ? ? = 23 × 20 × 360 – 32 × 950 ⇒ 106 + (180% = 9) of 35 = 50% of ? 53 100 5 = 11040 – 304 ⇒ 106 + 63 = 50% of ? = 10736 ⇒ ? = 169 × 2 = 338 579. Ans.(a) is correct 572. Ans.(e) is correct Sol. ? = 327 × 5 + 105 – 54 × 1645 100 = 851.7 580. Ans.(c) is correct Sol. 32 48 36 (5 + 5) ������������ ? = 100 × 550 + 100 × 750 ⇒ ? = 534 581. Ans.(a) is correct For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

Sol. (6)? = (6)3 ÷ 64 × 66 590. Ans.(c) is correct ⇒ (6)? = 63−4+6 Sol. ⇒?=5 ? = 755 + 8291 + 1377 582. Ans.(b) is correct = 10,423 Ans.(b) 591. Ans.(b) is correct Sol. ? = 576.03 – 472.31 Sol. ? = 132.3 + 145.7 – 52.5 = 103.72 = 225.5 583. Ans.(e) is correct 592. Ans.(c) is correct Sol. Sol. ? = 24 ÷ 16 × 7.4 + 343 − 231 ? = (315+105) × 7 = 11.1 + 112 = 123.1 3 584. Ans.(c) is correct Sol. 7 ×? = 84×84 × 12 × 1 ? = 980 593. Ans.(d) is correct 28 24 Sol. ? = 18 ? = 7 × 102 × 304 = 96 585. Ans.(b) is correct Sol. ? = 7.9 × 134 − 3.4 × 79 17 133 100 100 594. Ans.(b) is correct Sol. = 7.9 586. Ans.(b) is correct ? = 1198 – 881 Sol. = 317 595. Ans.(c) is correct 17 90 69 52 Sol. ? = 5 × 17 + 13 × 23 √?− 611 + 550 = 19 = 18 + 12 = 30 ⇒√? = 80 587. Ans.(c) is correct Sol. ⇒ ? = 6400 ? = √108 + 117 596. Ans.(a) is correct = √225 Sol. ? = 15 588. Ans.(a) is correct (0.7)? = 7 × 49 × 343 × 1 Sol. 10 10 1000 10 ? × 3 + 198 = ? × 9 – 102 76 ⇒? = 300 = (10) ⇒ ? = 6 6 597. Ans.(e) is correct ⇒ ? = 50 Sol. 589. Ans.(b) is correct Sol. 79 87 101 ? = 8 + 16 − 24 ?² = 49 + 32 474 + 261 − 202 ⇒ ?² = 81 = 48 ⇒ ?= ± 9 533 = 48 5 = 11 48 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

598. Ans.(b) is correct ? = 4200 + 180 Sol. ? = 4380 12 Ans 607. (c) ? = 3 × 243 + 3 × 345 ? = 580 + 6 – 3 = 81 + 230 ?= 583 = 311 599. Ans.(c) is correct Ans608. (b) Sol. ?  75 1228  45  400 0.1 + 0.011 + 0.00011 100 100 ? = 0.1 + 0.0111 + 1  3 1228  45 4 0.11111 1 4 = 1.1111 = 10  3 307 180 = 0.1 600. Ans.(e) is correct  921180  1101 Ans609. (c) ? = 1520 + 18420 + 21 = 19961 601. Ans.(a) is correct Ans610. (c) Sol. 63?  225  44  225 ?² = 395 + 791 – 990 100 ?² = 196 63?  225  56 ⇒ ? =± 14 100 602. Ans. (d) Sol. 65 × 240 + 150 ? = 210 ?2 100 100 Ans611. (b) 1.5? = 210 – 156 = 54 18 190 ?  18 19 ? = 36 100 603. Ans. (a)  ?  1800 19 ? = 2 × 7 × 75 × 540 18 190 3 5 100  ?  10 ? = 378 Ans612. (a) 604. Ans. (a) 1 ? 1  444  202 ? = (4 – 2 + 1) + (1 − 5 + 7 ) 2 4 2 6 12 ?  202 111 2 ?=3+ 3 =3+1  91  182 12 4 Ans613. (a) ?=31 4 605. Ans. (b) ? = 1218.06 606. Ans. (c) ? = 4200 + 3 × 480 8 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

( 64 )  ( 16 )3  ( 256 )  (4 )?1 1000 100 10000 10 Ans622. (a)  64 1000  162  ( 4 )?1 16 16 16 104 10 ?  55  2695 ?  49  (4 )  (4 )?1 ?  2401 10 10  ?1  1 ?0 Ans 614. (e) Ans623. (b) ?=22500-6400-737-9604 ?  1425  8560  8.4 ?= 5759 ?  9993.4 Ans624. (c) Ans615. (a) 48 + 6 -5 =? ? = 49 ?  75 1240  35 1560 Ans625. (d) 100 100 ? = 18.657 – 13.290 ? = 5.367  930  546  384 Ans616. (a) ? = 621.65 Ans626. (c) Ans617. (b) ? = 236 + 160 ? = 794 = 396 Ans618. (c) Ans627. (a) ? = 0.333 + 2.02 ?  2  215  3 128  4 147 = 2.353 5 4 7 Ans628. (b)  86  96  84 ? = 4.6 x 2.5 – 3. 2  98 Ans619. (b) = 8.3 ?  56 7  649  4 29 Ans629. (c)  968 116  852 ?3 1  113 1 2 2 Ans620. (a)  ?  11 ?  707 148 Ans630. (e)  855 ?  2.3330 1.53 70  287 Ans621. (d)  69.9 107.1174  177 174  3 ?  11 3 14300 Ans631. (e) 1100  429 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

?  15.68  5.67  3.75 107  17.6 = 5 + 70 Ans632. (e) 37 = 6 70 ?  56  225  20 150 109 100 100 639. Ans.(d) is correct Sol.  126 130 109  265 ? Ans633. (b) 10 = 67 × 7 + 73 × 5.1 – 52 × 2.2 1.85 ? = 499 – 425 ? = 7269 = ? = 40 640. Ans.(a) is correct Ans634. (d) Sol. ? = 3564 + 348.6 + 574.34 – 673.85 18?  187.90.14 = 3813.09 18?  18 ?4 641. Ans.(c) is correct Sol. ? 3 15 13 52 Ans635. (c) 5 × 4 × 17 × 6 × 544 = 7 35  (3 1 7  5)  ( 1  3  1  3  18 ) 52 ? 7 5 5 7 35 ⇒ ?× 52 × 3 = 7  7  ( 4  2  18 ) 1 5 7 35 ⇒ ? = 21  7  ( 28 10 18 ) 642. Ans.(b) is correct 35 Sol. 7 ? = 86.66 + 200 + 253 Ans636. (e) = 539.66 643. Ans.(d) is correct 36 40 ?  10  100  245  100  210 Sol.  10  88.20  84 4 × ?= 3√(256 + 473) + 504 5  5.8 2565 ? = 4 = 641.25 637. Ans.(b) is correct 644. Ans.(a) is correct Sol. Sol. 39 51 40 ? = 100 × 450 + 100 × 340 – 100 × 255 25 28 12+? 500 7×5× 6 = 9 = 246.9 50 638. Ans.(c) is correct ⇒ ? = 3 – 12 Sol. 14 2 = 3 = 43 2 5 7 2 ? = (3 + 4 + 5 – 7) + (5 + 7 + 10 – 7) For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

645. Ans.(e) is correct 652. Ans.(d) is correct Sol. ? = 4168 + 279 = 4447 Sol. 646. Ans.(c) is correct 2.4 Sol. 16 × 100 ? = 288 ? = 505 + 202 + 4040.4 + 4.484 ? = 750 = 4751.884 653. Ans.(b) is correct 647. Ans.(d) is correct Sol. Sol. 49 + 81 – 64 =? – 121 (−251 × 21 × (−12)) 15813 ⇒ 66 = ? – 121 ? = 100 ⇒ ? = 121 + 66 = 187 648. Ans.(b) is correct ? = 400 Sol. 654. Ans.(d) is correct 321 Sol. ?= 1+4+2+3+2+2 130 × 130 1 321 ? = [ 25 × 15] 30 = 338 = 5 + (4 + 3 + 2) 655. Ans.(e) is correct 23 = 5 + 12 Sol. 11 11 ? = √√4900 + √5476 = √70 + 74 = √144 = 12 = 5 + 1 12 = 6 12 656. Ans.(e) is correct Sol. 649. Ans.(e) is correct Sol. ? = 24.375 − 1.955 = 22.420 Expression 657. Ans.(d) is correct Sol. 6 42 35 ? = 13.141 + 31.417 – 27 .118 = 500 × 7 × 100 × 100 = 17.44 = 63 658. Ans.(b) is correct Sol. 650. Ans.(a) is correct Sol. ? = √8.0656 8888 + 848 + 88 – ? = 7337 + 737 ⇒ 9824 – ? = 8074 = √80656 ⇒ ? = 9824 – 8074 10000 = 1750 651. Ans.(c) is correct 284 = 2.84 Sol. = 100 ? = 127512 = 44 659. Ans.(b) is correct 414×7 Sol. 3.2 ? = 5 × 3.2 + 4 × 4 + 3 ( 4 ) = 16 + 16 + 2.4 = 34.4 660. Ans.(e) is correct Sol. For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

?2− 441 = 80 × 5 ⇒?=5 668. Ans.(b) is correct ⇒ ? = √841 ⇒ ? = 29 Sol. ? = 576.03 – 472.31 661. Ans.(a) is correct = 103.72 Sol. 669. Ans.(e) is correct Sol. ? = 24 ÷ 16 × 7.4 + 343 − 231 ?2 = √162 × 128 = 144 = 11.1 + 112 = 123.1 ⇒ ? = 12 662. Ans.(a) is correct Sol. 670. Ans.(c) is correct ?=6√5 × 12√5 − 361 Sol.7 ×? = 84×84 × 12 × 1 = 360 − 361 = −1 28 24 ? = 18 671. Ans.(b) is correct 663. Ans.(b) is correct Sol. ? = 7.9 × 134 − 3.4 × 79 Sol. 100 100 = 7.9 ?=111.1 + 25.8 + 153.5 672. Ans.(b) is correct = 290.4 Sol. 664. Ans.(b) is correct Sol. 144 ? = 16 = 9 ?3 = 54 × 32 ? = 3√1728 673. Ans.(c) is correct ? = 12 Sol. ? = 26,281 665. Ans.(e) is correct 674. Ans.(a) is correct Sol. Sol. 9 × ? = 207.27 ⇒ ? = 23.03 5 14 13 2 ? = 4 + 9 × 8 × 13 675. Ans.(b) is correct Sol. ? = 5 + 14 = 45+14 (?)³ = 180 + 156 – 120 = 216 4 36 36 ⇒?=6 ? = 59 = 1 23 676. Ans.(a) is correct Sol. 36 36 (?)² = 2 × 7√8 – 21 + 8 + 49 – 14√8 666. Ans.(e) is correct = 57 – 21 Sol. = 36 ∴ ? = ±6 ? = 25 × 14 − 42 + 4? = 182 ⇒350 − 42 + 4? = 324 ⇒4? = 324 − 308 = 16 ?=2 667. Ans.(a) is correct Sol.(6)? = (6)3 ÷ 64 × 66 677. Ans.(d) is correct ⇒ (6)? = 63−4+6 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

Sol. 684. Ans.(c) is correct Sol. ? 100 × 19.07 = 359.56 – 207 ?× 5 = (4)−5×−52 + (7)−3×−32 or, ? = 16+49 = 13 152.56 × 100 ? = 19.07 5 ? = 800 678. Ans.(c) is correct 685. Ans.(e) is correct Sol. Sol. (?)⁴ = 243 × 27 (?)⁴ = (9) ⁴ 1.4 + 2.8 ⇒?=9 ? = 10 × 100 = 42 679. Ans.(b) is correct 686. Ans.(c) is correct Sol. Sol. 8 24 25 7 ? = (1 + 2 + 3 − 4) + 7 + 5 + 1 − 1 ? = 3 + 7 × 6 × 50 (9 3 9 5) 8 106 16 = 3+2 = 2 + 45 = 4 45 2 687. Ans.(c) is correct = 43 Sol. ? = 6894 680. Ans.(a) is correct Sol. 688. Ans.(b) is correct ? = 0.0003 – 0.00003 + 0.03 = 0.03027 Sol. ?= 81.25 + 2.1 = 83.35 681. Ans.(b) is correct 689. Ans.(a) is correct Sol. Sol.350 × ? × 1 = 343 ? 41 = 354 – 425 + 240 100 50 ⇒ ? = 41 × 169 ⇒ ? = 4900 ⇒ ? = 6929 690. Ans.(a) is correct 682. Ans.(b) is correct Sol.1 × 3842 + 15 × ? = 2449 2 100 528 × 100 ⇒ ? = 15 ⇒ ? = 3520 Sol. 691. Ans.(d) is correct 36864 1 Sol. ? = 448.8 √? = 64 × 24 × 48 = 288 24 ∴ ? = 82944 ? = 18.7 683. Ans.(d) is correct 692. Ans.(b) is correct Sol. Sol. 30 2 2 2 2 144 ? = 100 × 7 × 9 × 5 × 3 × 9450 = 48 ? = 16 = 9 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

693. Ans.(c) is correct Sol. Sol. ? = 26,281 400 × 185 240 × 35 1648 ×? 100 + 100 = 100 694. Ans.(a) is correct Sol. ⇒ 74000 + 8400 = 1648 × ? 9 × ? = 207.27 ⇒ ? = 23.03 82400 695. Ans.(b) is correct ∴ ? = 1648 = 50 Sol. (?)³ = 180 + 156 – 120 = 216 703. Ans.(c) is correct ⇒?=6 Sol. 696. Ans.(a) is correct Sol. √244 + 224 = ? × 202 ⇒ 24 × 24 + 224 = ? × 202 (?)² = 2 × 7√8 – 21 + 8 + 49 – 14√8 ⇒ 800 = ?× 400 = 57 – 21 = 36 ∴ ? = ±6 800 697. Ans.(a) is correct ∴ ? = 400 = 2 704. Ans.(a) is correct Sol. Sol. 19 51 11 8 × 250 ? = 5 × 7 × 3 × 490 ? = 2.8 × 1.5 + 100 = 49,742 698. Ans.(c) is correct = 4.2 + 20 = 24.2 705. Ans.(c) is correct Sol. Sol. ? 160 × 250 120 × 400 13 + 14094 + 91 = 14,285 100 + ? 100 ? ⇒ 400+ ? = 480 ⇒ 13 = 100 ∴ ? = 480 − 400 = 80 ⇒ ? = 1300 706. Ans.(b) is correct 699. Ans.(b) is correct Sol. Sol. 65 × 780 78 × 650 ? = 100 + 100 ? 0.8 = 156 = 507 + 507 = 1014 ⇒ ? = 124.8 707. Ans.(b) is correct 700. Ans.(c) is correct Sol. Sol. ? = 1656 708. Ans.(c) is correct ? = √784 + 2352 Sol. = √3136 ? = 31 × 5 + 41 × 11 – 5 × 79 ? = 56 = 606 – 395 701. Ans.(e) is correct = 211 709. Ans.(c) is correct Sol. Sol. ? = 0.81 + 0.49 + 0.16 ? = 738 + 236 – 874 = 100 = 1.46 710. Ans.(d) is correct 702. Ans.(d) is correct For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

Sol. 720. Ans.(a) is correct 3 4 18 Sol. 4.5 + 23.50 + 14.58 – 17.68 ×0.5 ? = 4 × 27 × 11 × 2673 = 2 × 243 = 42.58 – 8.84 = 33.74 721. Ans.(c) is correct = 486 Sol.3675 × 7480 = 49 × 93.5 = 4581.5 711. Ans.(b) is correct 75 80 Ans.(b) Sol. 722. Ans.(b) is correct Sol. 47 ?= 1 + 11.1+ 11.11 ? = 17 × 17 + 15 × 15 ? = 23.21 = 11 723. Ans.(c) is correct 712. Ans.(c) is correct Sol. Sol. 63×15 +? = 61 + 235 1 1 ? = 15 − 2 = 14 2 5 724. Ans.(a) is correct ? = 296 − 189 = 107 713. Ans.(a) is correct Sol. 63×15 +? = 61 + 235 Sol. 5 36 44 ? = 100 × 125 + 100 × 225 ? = 296 − 189 = 107 714. Ans.(d) is correct 14,400 = 100 Sol.(? )2 − 312 + 289 = 5018 = 144 (? )2 = 5041, ? = 71 725. Ans.(c) is correct 715. Ans.(e) is correct Sol. 1411 + 583 ×? = 2415 Sol. 17 ? = 861 726. Ans.(b) is correct 2332 ? = 583 = 4 716. Ans.(b) is correct 3864 = (? 1 Sol. Sol. 24 )2 ? × 4 + 31 × 6 = 1 × 820 1 ? = (161)2 = 25921 2 161 = (? )2, ⇒ ? = 224 717. Ans.(b) is correct 4 Sol.668 ÷ 167 × 284 = 4 × 284 = 1136 ⇒ ? = 56 727. Ans.(b) is correct 718. Ans.(e) is correct Sol. 60% of 25% of 5 th of x = 630 Sol. 6 1562 + 15.6% of ? = 3,590 Or, 60 × 25 × 5 ������ = 630 202,800 ⇒ ? = 15.6 = 13,000 100 100 6 728. Ans.(b) is correct Or, ������ = 630 Sol.35 = 263 − 18 8 ? 35 35 ∴ x = 5040 Or, ?= 35×35 = 5 719. Ans.(d) is correct 245 Sol. (85410+ 36885 + 24705) ÷ 1600 729. Ans.(b) is correct = 147000 ÷ 1600 = 91.875 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

Sol. 533 17 90 69 52 = 48 ? = 5 × 17 + 13 × 23 5 = 18 + 12 = 11 48 = 30 737. Ans.(a) is correct 730. Ans.(a) is correct Sol. Sol. ? × 3 + 198 = ? × 9 – 102 ⇒? = 300 ?² = 395 + 791 – 990 ?² = 196 6 ⇒ ? =± 14 ⇒ ? = 50 738. Ans.(c) is correct 731. Ans.(b) is correct Sol. Sol. 150 × 220 + 120 × 140+? = 850 ?² = 49 + 32 100 100 ⇒ ?² = 81 ⇒ ?= ± 9 ? = 850 – 15 × 22 – 12 × 14 732. Ans.(b) is correct Sol. = 352 ? = 132.3 + 145.7 – 52.5 739. Ans.(d) is correct = 225.5 Sol. 30 × 340 − 70 × 110 = 65−? 733. Ans.(d) is correct Sol. 100 100 7 102 ? = 65+77-102 ? = 17 × 133 × 304 = 96 ? = 65 – 25 734. Ans.(b) is correct Sol. = 40 ? = 1198 – 881 740. Ans.(a) is correct = 317 Sol. 735. Ans.(c) is correct Sol. ? = 91 – 64 = 27 √?− 611 + 550 = 19 741. Ans.(e) is correct ⇒√? = 80 ⇒ ? = 6400 Sol. ? = (1+2–2) +  2  1 – 1  736. Ans.(e) is correct  5 7 2  Sol. = 1 + (28  10 –35) =1 3 79 87 101 70 70 ? = 8 + 16 − 24 742. Ans.(b) is correct 474 + 261 − 202 = 48 64 + 60 ÷ (30 ÷ 3) = (?) ÷ 20 ⇒ 64 + 60 ÷ 10 = x/ 20 ⇒ 64 + 6 = x/ 20 ⇒ x = 1400 743. Ans.(e774) is correct 1251/3 × 271/3 × 1254/3 = 15 × 5? ⇒ 5 × 3 × 54 = 15× 5x ⇒ 15 × 54 = 15×5x ⇒x=4 744. Ans.(a) is correct For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

⇒ 125% of 3060 = 408 + 85% of (?) Sol. ⇒ 3825 – 408 = [85 × (?)]/100 33 × 272 3 ⇒ 37 × 11.25 + 45 × 4 ⇒ 3417 = [85 × (?)]/100 (?) = 3417 × 100/85 36 (?) = 4020 ⇒ 34 × 11.25 + 33.75 745. Ans.(e) is correct ⇒ 135 751. Ans.(d) is correct [(37.5 × 19.2) ÷ 18 + 21.50 ÷ 4.3] = ? × 15 Sol. Applying BODMAS Rule; 539 × 12 4 ⇒ 16 +? = 404 + 3 ×? ⇒ [(300/8 × 19.2) ÷ 18 + 21.50 ÷ 4.3] = ? × 15 ⇒ [720 ÷ 18 + 5] = ? × 15 4 ⇒ 404.25 − 404 = (3 − 1) ×? ⇒ 40 + 5 = 15 × ? ⇒ ? = 3 × 0.25 ⇒ 45 = 15 × ? 3 ?= 4 ∴?=3 746. Ans.(c) is correct 752. Ans.(b) is correct 338.40 ÷ 42.3 + 25% of 4200 ÷ 100 = ? + 246.5 ÷ 29 Sol. Applying BODMAS Rule; 36864 1 √? = 64 × 24 × 48 = 288 ⇒ 8 + 1050 ÷ 100 = ? + 8.5 ∴ ? = 82944 ⇒ ? = 8 + 10.5 – 8.5 753. Ans.(d) is correct ∴ ? = 10 Sol. 747. Ans.(e) is correct Sol. 30 2 2 2 2 ? = 100 × 7 × 9 × 5 × 3 × 9450 = 48 √3969 − √2209 + 9 = 3√68921−? 754. Ans.(c) is correct ⇒ 63 − 47 + 9 = 3√68921−? ⇒ ? = 41 + 47 − 72 Sol. = 16 748. Ans.(d) is correct ?× 5 = (4)−5×−52 + (7)−3×−32 or, ? = 16+49 = 13 5 755. Ans.(e) is correct Sol. Sol. ⇒ 187.9 × 180.1 ÷ 184 = 18? 1.4 + 2.8 ? = 10 × 100 = 42 ⇒ 18(7.9+0.1) = 18? 756. Ans.(c) is correct 184 ⇒ 188 = 184 ⇒? = 4 Sol. 184 ? = (1 + 2 + 3 − 4) + 7 + 5 + 1 − 1 749. Ans.(d) is correct (9 3 9 5) Sol. 106 16 = 2 + 45 = 4 45 ⇒ 249 + 1149 + 2 =? +1335 ⇒ ? = 1400 − 1335 757. Ans.(b) is correct = 65 750. Ans.(a) is correct Sol. 35 ÷ 7 × 342 =? For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

Or, ? = 1710 4 758. Ans.(a) is correct ⇒ 577.5 − 344 = (3 − 1) ×? Sol. ⇒ ? = 3 × 233.5 805 + 187 + 2? = 1000 ? = 700.5 Or, 2? = 8 Or, ? = 3 766. Ans.(e) is correct 759. Ans.(d) is correct Sol. Sol. 40 × 3.5 80 × 3.5 (? ) ⇒ 100 + 100 = 10 18? = 187.9 × 180.1 ÷ 184 Or, ? = 7.9 + 0.1 - 4 = 4 140 + 280 ? 760. Ans.(b) is correct ⇒ 100 = 10 Sol. ⇒ ? = 42 767. Ans.(e) is correct Sol. 35 22 13 36 38 18 245 ? = 540 – 392 ? = 7 + 5 + 5 − 7 − 35 = 35 Or, ? = 35×35 = 5 = 148 768. Ans.(d) is correct 245 Sol. 761. Ans.(e) is correct Sol. ? = 81.701 769. Ans.(d) is correct 88.2 − 4 = 10−? Or, ? = -74.2 Sol. 762. Ans.(d) is correct ? = 12.52 Sol. 770. Ans.(a) is correct ⇒ 249 + 1149 + 2 =? +1335 Sol. ⇒ ? = 1400 − 1335 = 65 ? = 475 + 608 – 900 = 183 763. Ans.(a) is correct 771. Ans.(b) is correct Sol. Sol. 64 47 4 ? (256)2 33 × 27 3 1000 × 107 = (10) × 108 ⇒ 37 × 11.25 + 45 × 4 4 ? 47+3–8 33 ⇒ (10) = 102 ⇒ 34 × 11.25 + 33.75 42 ⇒ 37.5 = (10) 764. Ans.(c) is correct ⇒ ?=2 Sol. 772. Ans.(d) is correct 140 × 36.5 100 Sol. ⇒ 100 × 80 × 12.5 ? = 47.22 ∴ ? = 5.11 773. Ans.(a) is correct 765. Ans.(d) is correct Sol. Sol. 45 ? = 23 × 15 385 × 12 4 ⇒ 8 +? = 344 + 3 ×? ? = 69 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

774. Ans.(b) is correct ⇒ ? = 57 – 34 Sol. ∴ ? = 23 4046 × 14 × 15 780. Ans.(e) is correct ? = 210 × 17 Solution ? = 238 1920/?2 + 96/6 – 10 = 1/30 + 42/7 775. Ans.(e) is correct ⇒ 1920/?2 + 16 – 10 = 1/30 + 6 Sol. ⇒ 1920/?2 + 6 = 1/30 + 6 ? = (4 + 7 − 5) + 5 + 1 − 8 ⇒ 1920/?2 = 1/30 + 6 - 6 (6 2 11) ⇒ 1920/?2 = 1/30 (55 + 33 − 48) =6+ 66 ⇒ 1920 × 30 = ?2 40 ⇒ 240 × 8 × 30 = ?2 = 6 + 66 ⇒ 240 × 240 = ?2 20 = 6 33 ⇒ 2402 = ?2 776. Ans.(b) is correct ⇒ 240 = ? Sol. ∴ ? = 240 781. Ans.(b) is correct 83 ? = 100 × 2350 ? = 1950.5 Sol. 777. Ans.(d) is correct ? = 41 × 4 + 51 × 7 – 4 × 89 Sol. = 521 – 356 ⇒ 5 × 8 + 60 ÷ 4 – 45 + 2 = 165 782. Ans.(b) is correct ⇒ 5 × 8 + 15 – 45 + 2 Sol. ⇒ 40 + 15 – 45 + 2 ? = 209 × 5 + 128 – 768 ⇒ 57 – 45 = 405 783. Ans.(e) is correct ⇒ 12 778. Ans.(c) is correct Sol. Solution 34 (9/2 + 4) × 8 = ? × 10 ? = 5 × 7 × 2100 = 12 × 60 ⇒ (9 + 8)/2 × 8 = x × 10 = 720 ⇒ 17 × 4 = x × 10 784. Ans.(d) is correct ⇒ x = 68/ 10 Sol. ⇒ x = 6.8 235 779. Ans.(a) is correct ? = 5 × 4 × 8 × 1920 = 360 Solution 83.33% of 90 + 78 – 168 × 8 ÷ 14 = ? + 34 785. Ans.(e) is correct ⇒ 5/6 × 90 + 78 – 168 × 8 ÷ 14 = ? + 34 Sol. ? = (1+2–2) +  2  1 – 1   5 7 2  ⇒ 75 + 78 – 96 = ? + 34 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

= 1 + (28  10 –35) = 1 730 ? = 23 × 20 × 360 – 32 × 950 70 53 100 786. Ans.(c) is correct = 11040 – 304 Sol. ?2 = 56 + 25 = 10736 794. Ans.(a) is correct  ?2 = 81 Sol.  ?= 9 ? = 327 × 5 + 105 – 54 × 1645 787. Ans.(a) is correct 100 Sol. = 851.7 1 + 1 1 + (−2)4 (64)2 795. Ans.(c) is correct = 17 1 Sol. 8 32 48 36 (5 + 5) ������������ ? = 100 × 550 + 100 × 750 788. Ans.(a) is correct ⇒ ? = 534 Sol. 796. Ans.(c) is correct 34 × 48 =? , ? = 2.4 Explanation :334 + 614 – 1354 = – 406 3 10 797. Ans.(a) is correct 68 3 Explanation :21*58 = 1218 798. Ans.(c) is correct 789. Ans.(e) is correct Sol. Explanation :0.12 + 6.25 = 6.37 799. Ans.(d) is correct (1.1)2 − (4.24 × 0.04) =? ⇒ ?=1.0404 Explanation :24+76 = 100 790. Ans.(d) is correct 800. Ans.(b) is correct Sol. Explanation : 120 + (730x/100) = 354 (280 × 16) ÷ 8 (730x/100) = 234 ? = 14 = 40 X = 32% 791. Ans.(b) is correct 801. Ans.(d) is correct Sol. Explanation :256 + 729 – 24 = 961 = 312 ? = 700 × 3456 + 200 × 1881 – 50 × 12354 802. Ans.(b) is correct 900 300 300 Explanation : = 7 × 384 + 2 × 627 – 2059 3(46-16) + (36-3)3 = 90 + 332 90+ 1089 = 1179 = 2688 + 1254 – 2059 803. Ans.(a) is correct = 1883 792. Ans.(c) is correct Sol. Explanation : 22×248×122 = 665632 ? = 5√3 × 108 + 160 + 2 + 45 × 460 665632/22 = 30256 4 100 804. Ans.(a) is correct = 5√243 + 45 × 460 Explanation : 100 = 900 ÷ 3+300×10 = 300 + 3000 = 3300 = 3 + 207 805. Ans.(b) is correct = 210 793. Ans.(d) is correct Sol. For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

Explanation : 817. Ans.(d) is correct 645 × 16 × 85.74 =216 × 4096 = 884736 84 =4096 818. Ans.(d) is correct Correct Option: D 806. Ans.(a) is correct 73 × 8 80 Explanation : ⇒ 48% of 2500 – √196 – 15% of 3 = ? 222.5 + 441 = 663.5 663.5/6 = 110.6 73 × 8 80 ⇒ 1200 – – 0.15 × = ? 807. Ans.(a) is correct 7×2 3 Explanation : 12 230.4 + 269.01 = 100 + ? 499.41 = 100 + 399.41 ⇒ ? = 1200 – (72 × 4) – 3 808. Ans.(b) is correct ⇒ ? = 1200 – 196 – 4 Explanation : ⇒ ? = 1000 (14/3)+(37/5)-(38/3)+(25/7) = (490+777-1330+375)/105 819. Ans.(c) is correct = 312/105 = 2(102/105) Correct Option: C ⇒ 123 + 2744 ÷ 72 – 29 + 232 + 50 = ?3 809. Ans.(d) is correct ⇒ 123 + 2744 ÷ 49 – 29 + 529 + 50 = ?3 ⇒ 123 + 56 – 29 + 529 + 50 = ?3 Explanation : 5.39 + 4256 – 18.75 4261.39 – 18.75 = 4242.64 810. Ans.(c) is correct Explanation : = 2.8 ×6.9 – 96 = 19.32 – 96 = – 76.68 811. Ans.(b) is correct Answer B. 13.5 812. Ans.(b) is correct Answer B. 17/32 813. Ans.(a) is correct Answer A. 0 814. Ans.(c) is correct Answer C. 37 815. Ans.(c) is correct Answer C. 208 816. Ans.(c) is correct ⇒ 758 – 29 = ?3 ⇒ 729 = ?3 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

⇒?=9 Explanation : 820. Ans.(a) is correct = 534.596 + 61.472 – 496.708 – 27.271 = 596.068 – 523.979 = 72.089 ⇒ 36% of 450 + √3136 – 18 × 13 = ? 830. Ans.(a) is correct ⇒ 162 + 56 – 234 = ? Explanation : ⇒ ? = – 16 (√3 – 2)2 = ? – √12 – √36 3 + 4 – 4√3 = x – 2√3 – 6 Hence, option A is correct. 13 – 2√3 = x 821. Ans.(c) is correct 831. Ans.(d) is correct 3 4 2 Explanation : of of of 875 ÷ 5–1 = ? (9 ÷ 2 * 27 ÷ 9)/(18 ÷ 7.5 * 5 ÷ 4) = 27/6 = 4.5 5 7 3 832. Ans.(c) is correct ? = 25 × 4 × 2 × 5 Explanation : ? = 1000 (?)2 + (123)2 = (246)2 – (99)2 – 246 822. Ans.(b) is correct 60516 – 27392 = 33124 = (182)2 833. Ans.(c) is correct Sol. Explanation : 572 ÷ 26 = 22 ? = 1656 22 x 12 = 264 823. Ans.(c) is correct 264 – 200 = 64 = 26 834. Ans.(b) is correct Sol. Explanation : [√8(3 + 1) x √8(8 + 7)] – 98 ? = 31 × 5 + 41 × 11 – 5 × 79 [4√8 x 15√8] – 98 480 – 98 = 382 = 606 – 395 = 211 835. Ans.(b) is correct 824. Ans.(c) is correct Explanation : √(2352 – 1331 + 3) = √1024 =32 Sol. 836. Ans.(b) is correct Explanation : ? = 738 + 236 – 874 = 100 (65/100)*56*5 = ? + 154 825. Ans.(d) is correct 182 – 154 = 28 837. Ans.(a) is correct Sol. Explanation : 86+7 = 93 3 4 18 100-93 = 7 ? = 4 × 27 × 11 × 2673 838. Ans.(d) is correct = 2 × 243 = 486 (45)2 + (21)2 = (?)2 + 257 826. Ans.(b) is correct or, (?)2 = (45)2 + (21)2 – 257 Explanation : or, (?)2 = 2025 + 441 – 257 = 2209. (0.4)? = (0.064)*(0.4)7 / (0.0256)2 = (0.4)2 827. Ans.(b) is correct Explanation : 572 ÷ 26 * 12 – 200 = 22 * 12 – 200 = 264 – 200 = 64 = (2)6 828. Ans.(b) is correct Explanation : 350% of ? ÷ 50 + 248 = 591 x = (343 * 100 * 50) / 350 = 4900 829. Ans.(c) is correct For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

or, ? = √2209 = 47 86 – (86)2 + 86 × (86 + 86 ÷ 0.86) = ? ? = 86 – (86)2 + 86 × (86 + 100) 839. Ans.(a) is correct ? = 86 – (86)2 + 86 × 186 65% of 400 + √? = 44% of 800 – 12% of 400 ? = 86 (1 – 86 + 186) ? = 86 (101) ⇒ (50% of 400 + 10% of 400 + 5% of 400) + √? = (50% of 800 ? = 8686 – 6% of 800) – 12% of 400 ⇒ (200 + 40 + 20) + √? = (400 – 48) – 48 844. Ans.(c) is correct 57% of 350 + ?% of 170 = – 89.5 – 512 – 9 or, √? = 352 – 48 – 260 = 44 57 170 ∴ ? = (44)2 = 1936. 350 × + ? × = – 89.5 – 8 – 9 840. Ans.(a) is correct 100 100 40% of 375 ÷ 512 × 30 = 4500 ÷ ? 199.5 + 1.7 × ? = – 106.5 150 ÷ 8 × 30 = 4500 ÷ ? 1.7 × ? = – 106.5 – 199.5 ? = 4500 × 8 ÷ 150 ÷ 30 1.7 × ? = – 306 ?=8 ? = – 180 41. Ans.(d) is correct Correct Option: D 845. Ans.(b) is correct 529 ÷ ?% of 270 = 115 × 81 ÷ ?2 299 23 ÷ (2.7 × ?) = 115 × 9 ÷ ?2 × 11 – 361 = ?2 + 38 23 ÷ 2.7 = 115 × 9 ÷ ? ? = 115 × 9 ÷ 23 × 2.7 169 ? = 121.5 299 846. Ans.(d) is correct × 11 – 19 = ?2 + 38 Sol. 13 23 × 11 – 19 – 38 = ?2 ? = (6² - 3²)× (8² - 4²) ÷ (10.5² - 1.5²) 253 – 57 = ?2 (6 + 3) × (6 − 3) × (8 + 4) × (8 − 4) ?2 = 196 ? = 14 ? = (10.5 + 1.5) × (10.5 − 1.5) 9 × 3 × 12 × 4 ? = 12 × 9 = 12 842. Ans.(d) is correct 847. Ans.(b) is correct 94.5 × 512 ÷ 343 ÷ 6.4 = ?2 + 56 Sol. 512 35% ������������ 540 + 410% ������������ 30 = 39% ������������ ? 945 × = ?2 + 56 189 + 123 = 39 × ? 7 × 64 100 135 × 8 – 56 = ?2 1080 – 56 = ?2 312 × 100 ?2 = 1024 ? = 39 = 800 848. Ans.(e) is correct Sol. ? = ± 32 ?2 = 5 × 352 843. Ans.(c) is correct 40% of 11 ?2 = 2 × 5 × 352 = 64 ⇒?= 8 5 11 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

849. Ans.(a) is correct 857. Ans.(d) is correct Sol. Sol. 11 195 132 ? × 15 = 108 × 65 ?2 = 64 × 288 × 16 = 32 = 25 ?=5 256 × 36 850. Ans.(e) is correct Sol. ?=5 858. Ans.(b) is correct Sol. ?2 = (√1444 + √676) = 38 + 26 = 64 = 16 90% ������������ ? = √576 ÷ 3√64 × √729 4 4 4 24 27 ? = 4 × 9 × 10 ?=4 ? = 180 851. Ans.(d) is correct 859. Ans.(a) is correct Sol. ?2 = 64 × 288 × 16 = 32 = 25 Sol. 256 × 36 43 108 ?=5 ? = 40% of 320 + 18 × 8 = 128 + 48 = 176 852. Ans.(b) is correct 860. Ans.(d) is correct Sol. 90% ������������ ? = √576 ÷ 3√64 × √729 Sol. 24 27 60 × 152 ×? = 33 × 42 ? = 4 × 9 × 10 100 19 ? = 180 27 × 16 × 100 × 19 ⇒? = = 90 853. Ans.(a) is correct 60 × 152 Sol. 861. Ans.(d) is correct 43 108 Sol. ? = 40% of 320 + 18 × 8 = 128 + 48 = 176 (15)3.7×3 ÷ (15)2×4.3 × (15)2.5 ÷ (3)5 = (5)? (15)11.1−8.6+2.5 ÷ (3)5 = (5)? 854. Ans.(d) is correct (15)5 ÷ (3)5 = (5)? 35 × 55 ÷ (3)5 = (5)? Sol. 55 = (5)? ?=5 60 × 152 ×? = 33 × 42 100 19 862. Ans.(c) is correct ⇒? = 27 × 16 × 100 × 19 = 90 Sol. ? = 1396 + 412 – 2704 + 961 60 × 152 ? = 65 855. Ans.(a) is correct 863. Ans.(c) is correct Sol. 11 195 132 Ans.(c) ? × 15 = 108 × 65 ?=5 Sol. 856. Ans.(e) is correct ⇒ ? × 90 = 126+396 Sol. 100 (√1444 + √676) 38 + 26 64 ⇒ ? = 522 × 10 = 580 4 4 4 9 864. Ans.(e) is correct ?2 = = = = 16 Sol. (142−82) × (72–42) = ? × 400 ?=4 ? For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

⇒ ?2 = (14−8)(14+8)×3×(7+4) 871. Ans.(c) is correct Sol. 400 ? = 5√3 × 108 + 160 + 2 + 45 × 460 ⇒ ?2 = 6×22×11×3 = (33)2 4 100 400 10 ? = 3.3 = 5√243 + 45 × 460 100 865. Ans.(d) is correct = 3 + 207 = 210 Sol. 872. Ans.(d) is correct 92 121 8 Sol. 11 × 23 × ? = 22 + 66 ? = 23 × 20 × 360 – 32 × 950 352 53 100 = ? = 88 ⇒?=4 = 11040 – 304 866. Ans.(b) is correct = 10736 Sol. 873. Ans.(b) is correct 874. Ans.(c) is correct 412 31 2 ?2 % of 11.11% of 256 × 169 ÷ 2704 = 81 7 3 + 3 2 + 5 3 =? +4 5 − 7 2 + 11 5 ?2 × 1 ÷ 900 × 16 × 169 ÷ 52 = 81 ?2 = 81 × 900 × 52 ÷ 16 ÷ 169 ? = (7 + 3 + 5) + 4 + 1 + 2 − 4 + 7 − 11 − 3 3 2 3 5 ?2 = 2025/ 16 21 ? = 45/ 4 = 11.25 −5 + 2 875. Ans.(d) is correct ?= 9 Sol. 867. Ans.(c) is correct 4 × ?= 3√(256 + 473) + 504 5 Sol. 66 ������������ 350+ ? = 5 ������������ 1256 2565 ?= 4 100 8 = 641.25 ⇒ 231+ ? = 785 876. Ans.(b) is correct ∴ ? = 785 − 231 = 554 Sol. 868. Ans.(b) is correct 321 ?= 1+4+2+3+2+2 Sol. 321 80 1 2 = 5 + (4 + 3 + 2) ⇒?× 11 = 3 × 360 + 3 × 120 23 ⇒? = 11 × [120 + 80] = 5 + 12 80 = 11 × 2.5 11 11 = 5 + 1 12 = 6 12 = 27.5 877. Ans.(e) is correct 869. Ans.(b) is correct Sol. Sol. 3570 Expression ? = 1190 ?=3 6 42 35 = 500 × 7 × 100 × 100 870. Ans.(e) is correct = 63 878. Ans.(a) is correct For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466

Sol. 885. Ans.(d) is correct 886. Ans.(c) is correct 8888 + 848 + 88 – ? = 7337 + 737 887. Ans.(d) is correct 888. Ans.(a) is correct ⇒ 9824 – ? = 8074 ⇒ ? = 9824 – 8074 = 1750 879. Ans.(c) is correct Sol. ? = 127512 = 44 414×7 880. Ans.(d) is correct Sol. 25 + 210 = ? × 12 25(1 + 32) 12 =? ⇒ ? = 88 881. Ans.(a) is correct Sol. √256 + √784 =?× √121 889. Ans.(c) is correct 16 + 28 = ? × 11 890. Ans.(a) is correct 44 ? = 11 = 4 891. Ans.(b) is correct 882. Ans.(b) is correct 318 × 5160 ÷ [(43/100)*2400] = 46 × 990 ÷ 15 + x – 2400 318 *(5160/1032) = 46*(990/15) + x – 2400 1590 = 3036 + x – 2400 Sol. 1590 + 2400 – 3036 = x X = 954 11 111 892. Ans.(c) is correct ? +2 2 + 1 4 = 1 8 + 4 2 + 7 4 Sol.98 ÷ 14 × 49 – 294 = (? )2 ⇒ 7 × 49 – 294 = (? )2 ? = (1 + 4 + 7 – 2 – 1) + 1 + 1 + 1 – 1 – 1 ⇒ 343 – 294 = (? )2 [8 2 4 2 4] ⇒ (? )2 = 49 ⇒ ? = 7 or – 7 893. Ans.(a) is correct 1 73 ?= 98 = 8 883. Ans.(e) is correct Sol. 115% of 360 + 180% of 270 = ? × 225 414 + 486 = ? × 225 900 ? = 225 = 4 884. Ans.(b) is correct Sol. 9? × 729 = 34 × 96 81 9? = 92 × 96 = 93 92 × 93 ⇒?=3 For Free Study Material & Quizzes visit : www.mathsbyarunsir.com For any queries or suggestions email us @ [email protected] or whatsapp @ 8881331466