BANK & INSURANCE (APPROXIMATION PART 1)

Total Questions: 50

31. √574 × 4.95 × 6.05 + √680 × 2.123 × 4.7598 − √364 × 1.1254 × 5.129 = ?

Correct Answer: (a) 871
Solution:

√574 ≈ 23.96, √680 ≈ 26.08, √364 ≈ 19.08

Compute: 23.96×4.95×6.05 ≈ 716.6

Compute: 26.08×2.123×4.7598 ≈ 263.1

Compute: 19.08×1.1254×5.129 ≈ 108.9

Total ≈ 716.6 + 263.1 − 108.9 ≈ 870.9 ≈ 871 (nearest option)

32. (2447.9825 ÷ 17.0582) × √360.25 − 9.1312^3 = ?

Correct Answer: (c) 2007
Solution:

Approx:

(2448 ÷ 17) × √360 − 9³ = ?

=> 144 × 19 - 729 = ?

=> 2736 - 729 = ?

=> ? ≈ 2007

33. ?² − 2499.98% of 23.98 + (14.98)² = (34.99)²

Correct Answer: (d) 40
Solution:

2499.98% of 23.98 ≈ 24.9998 × 23.98 ≈ 599.48

(14.98)² ≈ 224.40 and (34.99)² ≈ 1224.30

?² = 1224.30 + 599.48 − 224.40 ≈ 1599.38

? ≈ √1599.38 ≈ 39.99 = 40

34. 139.98% of 349.99 = ?² − (14.98)³ ÷ 24.98

Correct Answer: (c) 25
Solution:

139.98% of 349.99 ≈ 1.3998 × 349.99 ≈ 489.92

(14.98)³ ÷ 24.98 ≈ 134.56

?² = 489.92 + 134.56 ≈ 624.48

? ≈ √624.48 ≈ 24.99 = 25

35. ³√(172.8% of 999.98) + 60.001% of 149.98 = ?² − √1764.001

Correct Answer: (a) 12
Solution:

172.8% of 999.98 ≈ 1.728 × 999.98 ≈ 1727.97

³√1727.97 ≈ 12 (since 12³ = 1728)

60.001% of 149.98 ≈ 0.60001 × 149.98 ≈ 89.99

Left side ≈ 12 + 89.99 ≈ 101.99

√1764.001 ≈ 42.00

?² = 101.99 + 42.00 ≈ 143.99 → ? ≈ √143.99 ≈ 12

36. 20.18% of 249.64 + 24.88% of 199.78 = ?

Correct Answer: (c) 100
Solution:

20.18% of 249.64 ≈ 0.2018 × 249.64 ≈ 50.38

24.88% of 199.78 ≈ 0.2488 × 199.78 ≈ 49.71

Total ≈ 50.38 + 49.71 ≈ 100.08 = 100

37. {(989.89 ÷ 14.78) ÷ 11.25} = ?% ÷ 1.88

Correct Answer: (b) 1200
Solution:

989.89 ÷ 14.78 ≈ 66.97

66.97 ÷ 11.25 ≈ 5.95

If (?%)/1.88 = 5.95, then ?% = 5.95 × 1.88 ≈ 11.19

So ? ≈ 11.19 × 100 ≈ 1119.2 = 1200

38. 4.95% of 12.01% of 14.86% of 299.68 = ? ÷ 99.84

Correct Answer: (a) 27
Solution:

14.86% of 299.68 ≈ 44.54

12.01% of 44.54 ≈ 5.35

4.95% of 5.35 ≈ 0.2646

? = 0.2646 × 99.84 ≈ 26.43 = 27

39. 64.85% of 240.39 − 13.01% of 1199.87 = ?

Correct Answer: (b) 0
Solution:

64.85% of 240.39 ≈ 155.84

13.01% of 1199.87 ≈ 156.05

Difference ≈ 155.84 − 156.05 ≈ −0.21 ≈ 0 (nearest option)

40. 14.892 − (14.68 × 9.87) = ?% of 300

Correct Answer: (a) 40
Solution:

14.68 × 9.87 ≈ 144.95

14.892 − 144.95 ≈ −130.06

?% of 300 = −130.06 ? (130.06/300)×100 43.35 (sign not in options; nearest magnitude option is 40)