BANK & INSURANCE (SIMPLIFICATION SURDS & INDICES)

Total Questions: 50

21. 19² + 12.5% of 2480 − 28² = ?

Correct Answer: (b) −113
Solution:

19² = 361

12.5% of 2480 = 310

28² = 784

361 + 310 − 784 = −113

22. √289 × √2304 × √169 ÷ √676 × √576 × ?

Correct Answer: (a) 17
Solution:

√289 = 17

√2304 = 48

√169 = 13

√676 = 26

√576 = 24

(17×48×13) ÷ (26×24) = 17

? = 17

23. 38² + 17² − 23² = ? + √1521

Correct Answer: (d) 1165
Solution:

38² = 1444

17² = 289

23² = 529

√1521 = 39

1444 + 289 − 529 = 1204

? = 1204 − 39 = 1165

24. ? + 6³ = 45% of 1900 + 29² − 127

Correct Answer: (c) 1353
Solution:

6³ = 216

45% of 1900 = 855

29² = 841

RHS = 855 + 841 − 127 = 1569

? = 1569 − 216 = 1353

25. 13³ + 12² − 11³ + 17² + 21² = ?

Correct Answer: (a) 1740
Solution:

13³ = 2197

12² = 144

11³ = 1331

17² = 289

21² = 441

Result = 2197 + 144 − 1331 + 289 + 441 = 1740

26. {(3)⁴ + 9²} ÷ ? × 3 × 9

Correct Answer: (d) 6
Solution:

3⁴ = 81

9² = 81

Sum = 162

162 ÷ ? × 27 = 27

? = 6

27. {(27)² × 40% of 40}½ + (484)½ = ? × 13

Correct Answer: (b) 10
Solution:

27² = 729

40% of 40 = 16

√(729 × 16) = √11664 = 108

√484 = 22

108 + 22 = 130

? = 130 ÷ 13 = 10

28. (14)² × (2)² − 69 = ? − √225

Correct Answer: (c) 730
Solution:

14² = 196

2² = 4

196 × 4 − 69 = 715

√225 = 15

? = 715 + 15 = 730

29. Q29. (625 × 4 × 25)½ × (27)1/3 = ? × 5

Correct Answer: (b) 150
Solution:

(625 × 4 × 25)^½ × (27)^1/3 = ? × 5
=> (5^4 × 2^2 × 5^2)^½ × 3 = ? × 5
=> (5^6 × 2^2)^½ × 3 = ? × 5
=> 5^3 × 2 × 3 = ? × 5
=> 250 × 3 = ? × 5
=> 750 = ? × 5
=> ? = 750 / 5
=> ? = 150

30. {(√625 × √144) ÷ √1225} = ? ÷ 7

Correct Answer: (a) 60
Solution:

{(√625 × √144) ÷ √1225} = ? ÷ 7
=> {(25 × 12) ÷ 35} = ? ÷ 7
=> {300 ÷ 35} = ? ÷ 7
=> 60/7 = ? ÷ 7
=> ? = (60/7) × 7
=> ? = 60