BANK & INSURANCE (SIMPLIFICATION SURDS & INDICES)

Total Questions: 50

11. Q20. 170 × 7x ? − 62 = 14³ + 13²

Correct Answer: (c) 2.5
Solution:

170 × 7 × ? - 62 = 14³ + 13²
=> 1190 × ? - 62 = 2744 + 169
=> 1190 × ? - 62 = 2913
=> 1190 × ? = 2913 + 62
=> 1190 × ? = 2975
=> ? = 2975 / 1190
=> ? = 2.5

12. Q19. (7³ − ³√2197) × 2.5 = ?

Correct Answer: (b) 825
Solution:

7³ = 343

³√2197 = 13

(343 − 13) × 2.5 = 330 × 2.5 = 825

13. Q18. √1764 + √729 × (1321 − 879) = ? × 8

Correct Answer: (b) 1497
Solution:

√1764 + √729 × (1321 − 879) = ? × 8
=> 42 + 27 × 442 = ? × 8
=> 42 + 11934 = ? × 8
=> 11976 = ? × 8
=> ? = 11976 / 8
=> ? = 1497

14. 21² − 25² + 13² + 14³ + 16² = ?

Correct Answer: (d) 2985
Solution:

21² = 441

25² = 625

13² = 169

14³ = 2744

16² = 256

Result = 441 − 625 + 169 + 2744 + 256 = 2985

15. ³√729 + √1089 + √576 + √2601 + ³√12167 = ?

Correct Answer: (a) 140
Solution:

³√729 = 9

√1089 = 33

√576 = 24

√2601 = 51

³√12167 = 23

Sum = 9 + 33 + 24 + 51 + 23 = 140

16. √1369 + √1521 + √784 + √676 = ?

Correct Answer: (b) 130
Solution:

√1369 = 37

√1521 = 39

√784 = 28

√676 = 26

Sum = 37 + 39 + 28 + 26 = 130

17. √144 + ³√2197 + √2601 − √3969 = ?

Correct Answer: (d) 13
Solution:

√144 = 12

³√2197 = 13

√2601 = 51

√3969 = 63

Required value = 12 + 13 + 51 − 63 = 13

18. 18² − 22² + 34² − 29² = X

Correct Answer: (d) 155
Solution:

18² = 324

22² = 484

34² = 1156

29² = 841

X = 324 − 484 + 1156 − 841

X = −160 + 315 = 155

19. 25 × 59 − 99 − 19 × 17 = X + ³√2197

Correct Answer: (a) 1040
Solution:

25 × 59 = 1475

19 × 17 = 323

1475 − 99 − 323 = 1053

³√2197 = 13

1053 = X + 13

X = 1053 − 13 = 1040

20. 890 + 27² − 145 = X + 299

Correct Answer: (c) 1175
Solution:

27² = 729

LHS = 890 + 729 − 145 = 1474

1474 = X + 299

X = 1474 − 299 = 1175