Simplification Questions PDF Set 5

Simplification questions for IBPS Clerk Pre, SBI Clerk Pre and IBPS RRB. Directions: What value should come in place of question mark. 1. [(288)2 ÷ 24 × 36] ÷ 18 = √? 2 A. 6912 B. 3456 C. 216...

Simplification questions for IBPS Clerk Pre, SBI Clerk Pre and IBPS RRB. Directions: What value should come in place of question mark. 1. [(288)2 ÷ 24 × 36] ÷ 18 = √? 2 A. 6912 B. 3456 C. 216 D. 6912 E. None of these 2. 1454 + 2365 + 9710 + 3020 = ? A. 20718 B. 18121 C. 16549 D. 14226 E. None of these 3. 67.5% of 960 + ?% of 640 = 728 A. 12.5 B. 25 C. 12 D. 11 E. None of these 4. 19 ÷ * – +=? A. B. 6 C. D. E. None of these 5. (√8 × √8)1/2 + 91/2 = ?3 + √8 – 340 A. 7 B. 19 C. 18 D. 9 E. None of these 6. 2 % of 1500 + {32% of 1450 + √ ÷ (68 – 72)} = ? A. 499 B. 480 C. 491 D. 490 E. None of these 7. 7428 × × × ? = 619 A. 0.5 B. 1.5 C. 0.2 D. 2.4 E. None of these 8. (4 + 3√2)2 – (3 + 2√2)2 = ? A. 24 + 12√2 B. 24 + 10 √2 C. 23 + 12 √2 D. 23 + 10 √2 E. None of these 9. 632323 + 454545 – 757575 – 157866 = ? A. 187548 B. 174578 C. 171427 D. 172787 E. None of these 10. 3 × 59 × 16 + 3 = ? A. 3084.5 B. 3125.5 C. 3245.5 D. 3081.5 E. None of these 11. 23 × 17 + 427 – 52% of 1450 = ?2 A. 64 B. 58 C. 8 D. 16 E. None of these 12. 62% of 16850 + 32% of 7345 = 52% of 645 + ? A. 10328 B. 12462 C. 10358 D. 10748 E. 12360 13. of 3245 + 32% of 6250 – (?)2 = 103 A. 64 B. 62 C. 58 D. 57 E. None of these 14. 23568 + 33852 + 17183 – 52549 = ? A. 20084 B. 22184 C. 21084 D. 22084 E. None of these 15. ( ) of 3267 + 72% of 6350 = (?)2 – 580 A. 54 B. 92 C. 27 D. 79 E. None of these 16. √ +√ =? A. 90 B. 93 C. 97 D. 92 E. None of these 17. (0.9)2 × 15 + 2.64 = ? – 532 ÷ 28 A. 33.79 B. 32.79 C. 33.69 D. 32.69 E. None of these 18. 4 +2 –6 =? A. 2 B. 2 C. 1 D. 1 E. None of these 19. 4 ÷ 2 – 1.25 – 3 + 3.5 = ? A. B. C. D. E. None of these 20. ? % of (17895.35 – 16764.10) = 102 + 92 A. 15 B. 12 C. 16 D. 18 E. 20 21. 5376 ÷ 24 × 13 – 703 = ?2 A. 57 B. 47 C. 53 D. 43 E. None of these 22. 4 × 4 + ? = 35% of 158 A. 23.3 B. 33.3 C. 31.3 D. 19.3 E. None of these 23. 12473 – 1016 – 10137 + 21477 = ? + 8573 A. 15124 B. 14224 C. 14624 D. 14424 E. None of ttese 24. (0.4)3 × 400 ÷ 4000 of (0.4)2 = ? A. B. C. D. 1 E. None of these 25. 185% of 500 – 46% of 1650 = 4 × ? A. 42.5 B. 35.5 C. 53.5 D. 41.5 E. None of these 26. 165% of 400 + 85% of 240 = ?% of 1080 A. 70 B. 90 C. 80 D. 110 E. 100 27. 24473 – 12016 – 11037 + 22477 = ? + 9473 A. 14136 B. 14424 C. 14760 D. 18342 E. 14572 28. 123 × 8697 ÷ 223 = ?2 + 36 A. 67 B. 72 C. 85 D. 69 E. 83 29. 13 × ? × 6 = 472 – √625 A. 32 B. 28 C. 36 D. 38 E. None of these 30. – 7 × 13 + √ =? A. 20 B. 24 C. 27 D. 31 E. None of these 31. 7 +9 + 11 – 6 = ? A. 25 B. 22 C. 23 D. 22 E. None of these 32. 256.5 × 2512.25 = 2521–? A. 2.20 B. 2.25 C. 2.5 D. 3 E. None of these 33. 1332 ÷ 36 × 23 + 287 – 189 = ? A. 1029 B. 988 C. 850 D. 949 E. None of these 34. 0.8% of 2580 + 16% of 685 = ? A. 125.76 B. 120.76 C. 130.24 D. 124.76 E. None of these 35. (153 × 1331) ÷ (11 × 17) = ? A. 948 B. 1089 C. 1153 D. 1249 E. None of these 36. √ +√ –√ =? A. 34 B. 27 C. 36 D. 26 E. None of these 37. 9845 – 3746 + 5483 = 7416 + ? A. 3614 B. 4166 C. 2876 D. 3776 E. None of these 38. of 1456 of of =? A. 1140 B. 1280 C. 1320 D. 1210 E. None of these 39. 4.8 × 4.5 × 3.6 × 50 = ? A. 2888 B. 3688 C. 3888 D. 3288 E. None of these 40. 133 + 212 – 193 + 5360 = ? A. 1240 B. 1139 C. 1332 D. 1129 E. None of these 41. (√ – √ )2 + (√ + √ )2 = (?)3 – 28 A. √ 2 B. 4 C. √ 6 D. 3 E. None of these 42. 64% of √ ÷ 1.6 = ? × 2.56 A. √10 B. 256 C. √160 D. 100 E. None of these 43. 38.4% of 1450 + 78.2% of 240 – ?2 = 20% of 77.4 A. √17 B. 19 C. 27 D. 81 E. None of these 44. (2.89)4 ÷ (4913 ÷ 1000)3 × (0.17 × 10)3 = (1.7)?–3 A. √4 B. 6 C. 2 D. 5 E. None of these 45. √ + 35% of 6500 – ?% of 1250 = 222.8 A. 164.32 B. 18.23 C. 174.32 D. 194.23 E. None of these 46. 13 % of 2835 + 25% of 3248 = 1117 + ? A. 110 B. 100 C. 132 D. 50 E. None of these 47. √ √ √ √ =? A. 3√2 B. 7 C. 4√3 D. 6 E. None of these 48. (0.0036)1/2 + (0.0169)1/2 = ? + 0.03 A. 0.16 B. 0.12 C. 0.14 D. 0.26 E. None of these 49. 25% of √ + 75% of √ =? A. 49.5 B. 36.5 C. 39.5 D. 41.5 E. None of these 50. 332 + 342 + 35 + 362 – 392 = ? A. 2025 B. 2055 C. 3025 D. 3155 E. None of these Correct Answers: 1 2 3 4 5 6 7 8 D C A B A C A E 9 10 11 12 13 14 15 16 C D C B B E D D 17 18 19 20 21 22 23 24 A D C C B B B C 25 26 27 28 29 30 31 32 D C B D B A B B 33 34 35 36 37 38 39 40 D C B B B B C B 41 42 43 44 45 46 47 48 B D C D A B D B 49 50 A B Explanations: 1. [(288)2 ÷ 24 × 36+ ÷ 18 = √? √? = *(288)2 ÷ 24 × 36] ÷ 18 √? = *82944 ÷ 24 × 36+ ÷ 18 √? = 6912 ? = 69122 Hence, option D is correct. 2. 1454 + 2365 + 9710 + 3020 = ? ? = 1454 + 2365 + 9710 + 3020 ? = 16549 Hence, option C is correct. 3. 67.5% of 960 + ?% of 640 = 728 67.5 ? × 960 + × 640 = 728 100 100 ? 648 + × 640 = 728 100 ? × 640 = 728 – 648 100 ? × 640 = 80 100 100 ? = 80 × 640 ? = 12.5 Hence, option A is correct. 4. 1 2 19 ÷ [1 – + 2 ] = ? 2 3 1 2 ? = 19 ÷ [1 – + 2 ] 2 3 1 2 ? = 19 ÷ [3 – + ] 2 3 3 4 ? = 19 ÷ [3 – + ] 6 6 1 ? = 19 ÷ [3 + ] 6 19 ? = 19 ÷ [ ] 6 6 ? = 19 × [ ] 19 ?=6 Hence, option B is correct. 5. (√8 × √8)1/2 + 91/2 = ?3 + √8 – 340 (8)1/2 + 91/2 = ?3 + √8 – 340 91/2 = ?3 + √8 – 340 - (8)1/2 3 = ?3 + – 340 ?3 = 340 + 3 = 343 ?= 7 Hence, option A is correct. 6. 2 % of 1500 + {320 of 1450 + √ ÷ (68 – 72)} = ?  × × 1500 + { √ – (– )} = ? 35 + {464 + √ ÷ (– 4) } = ? ? = 35 + {464 + √ ÷ (–4)} 1 ? = 35+ {464-32× } (4) ? = 35 + (464 – 8) ? = 35 + 456 = 491 Hence, option C is correct. 7. 3 2 7428 × × × ? = 619 4 9 1 1 7428 × × × ? = 619 2 3 1 3714 × × ? = 619 3 1238 × ? = 619 619 ?= = 0.5 1238 Hence, option A is correct. 8. (4 + 3√2)2 – (3 + 2√2)2 ? = (16 + 18 + 24√2) – (9 + 8 + 12√2) ? = (34 + 24√2) – (17 + 12√2) ? = 34 + 24√2 – 17 – 12√2 ? = 17 + 12√2 Hence, option E is correct. 9. 632323 + 454545 – 757575 – 157866 = ?  ? = 1086868 – 915441 ? = 171427 Hence, option C is correct. 10. 12 32 2 1 ⇒ 3 × 59 × 16 + 3 = ? 67 71 7 2 213 4221 114 7 ⇒ × × + =? 67 71 7 2 ⇒ 3078 + 3.5 =? ⇒ ? = 3081.5 Hence, option D is correct. 11. 23 × 17 + 427 – 52% of 1450 = ?2 ?2 = 391 + 427 – 754 ?2 = 391 + 427 – 754 ?2 = 64 ?=8 Hence, option C is correct. 12. 62% of 16850 + 32% of 7345 = 52% of 645 + ? 10447 + 2350.40 = 335.40 + ? ? = 12462 Hence, option B is correct. 13. 1947 + 2000 – 103 = (?)2 3947 – 103 = (?)2 3844 = (?)2 ? = 62 Hence, option B is correct. 14. 74603 – 52549 = 22054 Hence, option E is correct. 15. 3 (9) of 3267 + 72% of 6350 + 580 = (?)2 1089 + 4572 +580 = (?)2 (?)2 = 6241 ?=√ = 79 Hence, option D is correct. 16. √ +√ =? ? = 33 + 59 = 92 Hence, option D is correct. 17. (0.9)2 × 15 + 2.64 = ? – 532 ÷ 28 0.81 × 15 + 2.64 = ? – 19 12.15 + 2.64 = ? – 19 ? = 33.79 Hence, option A is correct. 18. 2 6 2 4 +2 –6 =? 10 3 8 2 6 2 ? = (4 + 2 – 6) + + – 10 3 8 (24 + 240 – 30) ?=0+ 120 234 ?=0+ 120 114 ?=1 120 Hence, option D is correct. 19. 1 1 1 4 ÷ 2 – 1.25 – 3 + 3.5 = ? 6 2 4 25 5 13 ?= ÷ – 1.25 – + 3.5 6 2 4 25 2 ?= × – 1.25 – 3.25 + 3.5 6 5 5 ?= – 1.25 – 3.25 + 3.5 3 5 ? = – 4.5 + 3.5 3 5 2 ?= –1= 3 3 Hence, option C is correct. 20. ? % of (17895.35 – 16764.10) = 102 + 92 ?% of 1131.25 = 181 18100 ?= = 16 1131.25 Hence, option C is correct. 21. ?2 = 5376 ÷ 24 × 13 – 703 ?2 = 224 × 13 – 703 ?2 = 2912 – 703 = 2209 ? = √2209 = 47 Hence, option B is correct. 22. 5 2 4 × 4 + ? = 35% of 158 7 3 33 14 35 × +?= × 158 7 3 100 22 + ? = 55.3 ? = 55.3 – 22 = 33.3 Hence, option B is correct. 23. 12473 – 1016 – 10137 + 21477 = ? + 8573 or, ? = 12473 – 1016 – 10137 + 21477 – 8573 or, ? = 14224 Hence, option B is correct. 24. ? = (0.4)3 × 400 ÷ 4000 of (0.4)2 Applying the BODMAS, we get = (0.4)3 × 400 ÷ (4000 × 0.4 × 0.4) 0.4 × 0.4 × 0.4 × 400 = 4000 × 0.4 × 0.4 4 × 4 × 4 × 400 = 4000 × 4 × 4 × 10 4 2 1 = = = 100 50 25 Hence, option C is correct. 25. 185% of 500 – 46% of 1650 = 4 × ? ⇒ 185% of 500 – 46% of 1650 = 4 × ? ⇒ (925 – 759) = 4 × ? ⇒ 166 = 4 × ? ⇒ ? = 41.5 Hence, option D is correct. 26. 165 85 ? 400 × + × 240 = × 1080 100 100 100 or, 4 × 165 + 85 × 2.4 = 10.8 × ? or, 660 + 204 = 10.8 × ? 864 × 10 ∴?= = 80 108 Hence, option C is correct. 27. 24473 – 12016 – 11037 + 22477 = ? + 9473 ? = 24473 – 12016 – 11037 + 22477 – 9473 ? = 46950 – 32526 ? = 14424 Hence, option B is correct. 28. 123 × 8697 ÷ 223 = ?2 + 36 8697 ?2 = 123 × – 36 223 ?2 = 4797 – 36 = 3481 ∴?=√ =√ = 69 Hence, option D is correct. 29. 13 × ? × 6 = 472 – √625 or, 78 × ? = 2209 – 25 or, ? = 2184 ÷ 78 or, ? = 28 Hence, option B is correct. 30. √ =? ? = 98 – 91 + 13 ? = 20 Hence, option A is correct. 31. 7 +9 + 11 – 6 =? 2 7 3 1 ? = (7 + 9 + 11 – 6) + ( + + – ) 3 12 4 2 8+7+9–6 18 ? = 21 + = 21 + 12 12 3 1 1 ? = 21 + = 22 + = 22 2 2 2 Hence, option B is correct. 32. As the base on both the sides LHS and RHS are equal, we can compare the indices. 6.5 + 12.25 = 21 – x 18.75 = 21 – x Therefore, x = 21 – 18.75 ⇒ 2.25 Hence, option B is correct. 33. 1332 ÷ 36 × 23 + 287 – 189 = ? 1332 ⇒ × 23 + 287 – 189 36 = 851 + 287 – 189 = 1138 – 189 = 949 Hence, option D is correct. 34. 0.8% of 2580 + 16% of 685 = ? 8 16 ?= × 2580 + × 685 10 × 100 100 = 20.64 + 109.6 = 130.24 Hence, option C is correct. 35. (153 × 1331) ÷ (11 × 17) = ? 153 × 1331 ?= = 9 × 121 = 1089 11 × 17 Hence, option B is correct. 36. √ +√ –√ =? ? = 43 + 23 – 39 = 27 Hence, option B is correct. 37. 9845 – 3746 + 5483 = 7416 + ? ? = 9845 – 3746 + 5483 – 7416 ? = 4166 Hence, option B is correct. 38. 5 2 136 of 1456 of of =? 13 7 17 5 2 136 ?= × 1456 × × 13 7 17 ? = 5 × 16 × 2 × 8 or, ? = 1280 Hence, option B is correct. 39. 4.8 × 4.5 × × 3.6 × 50 = ? ⇒ ? = 4.8 × 4.5 × 3.6 × 50 = 3888 Hence, option C is correct. 40. 133 + 212 – 193 + 5360 = ? or, ? = 2197 + 441 – 6859 + 5360 or, ? = 1139 Hence, option B is correct answer. 41. (√ – √ )2 + (√ + √ )2 = (?)3 – 28 (?)3 = 7 + 10 – 2 √70 + 5 + 14 + 2 √70 + 28 (?)3 = 36 + 28 = 64 ∴?= √ =4 Hence, option B is correct. 42. 64% of √ ÷ 1.6 = ? × 2.56 ? × 2.56 = 64% of 640 ÷ 1.6 64 × 640 64 × 640 ? × 2.56 = ÷ 1.6 = = 256 100 100 × 1.6 256 ∴ ?= = 100 2.56 Hence, option D is correct. 43. 38.4% of 1450 + 78.2% of 240 – ?2 = 20% of 77.4 or, ?2 = 38.4% of 1450 + 78.2% of 240 – 20% of 77.4 or, ?2 = 556.8 + 187.68 – 15.48 = 744.48 – 15.48 = 729 ∴?=√ = 27 Hence, option C is correct. 44. (2.89)4 ÷ (4913 ÷ 1000)3 × (0.17 × 10)3 = (1.7)?–3 or, (1.7)8 ÷ (1.7)3×3 × (1.7)3 = (1.7)?–3 or, (1.7)8 ÷ (1.7)9 × (1.7)3 = (1.7)?–3 or, (1.7)8–9+3 = (1.7)?–3 or, (1.7)2 = (1.7)?–3 ∴ ?–3=2 or, ? = 3 + 2 = 5 Hence, option D is correct. 45. √ + 35% of 6500 – ?% of 1250 = 222.8 or, 1.8 + 2275 – ? × 12.5 = 222.8 or, ? × 12.5 = 2276.8 – 222.8 2054 or, ? = = 164.32 12.5 Hence, option A is correct. 46. 9 13 % of 2835 + 25% of 3248 = 1117 + ? 7 100 1 ∴ % of 2835 + × 3248 = 1117 + ? 7 4 100 = × 2835 + 812 = 1117 + ? 700 ⇒ 405 + 812 = 1117 + ? ∴ ? = 1217 – 1117 = 100 Hence, option B is correct. 47. √ √ √ √ =? ⇒?= √ √ √ ⇒?=√ √ √ ⇒?=√ √ ⇒?=√ √ ⇒?=√ ⇒?=√ ⇒?=6 Hence, option D is correct. 48. (0.0036)1/2 + (0.0169)1/2 = ? + 0.03 ⇒ ? + 0.03 = 0.06 + 0.13 ⇒ ? = 0.19 – 0.03 = 0.16 Hence, option B is correct. 49. 25% of √ + 75% of √ =? ? = 25% of 69 + 75% of 43 ? = 17.25 + 32.25 = 49.5 Hence, option A is correct. 50. 332 + 342 + 35 + 362 – 392 = ? ? = 1089 + 1156 + 35 + 1296 – 1521 ? = 2055 Hence, option B is correct.