BANK & INSURANCE (SIMPLIFICATION SURDS & INDICES)

Total Questions: 50

1. 28² − 89 + ³√1728 = X − 129

Correct Answer: (b) 836
Solution:

28² = 784

³√1728 = 12

LHS = 784 − 89 + 12 = 707

707 = X − 129

X = 707 + 129 = 836

2. 17 × 19 + 22² − 18² = X − 17 × 6

Correct Answer: (b) 585
Solution:

17 × 19 = 323

22² = 484

18² = 324

LHS = 323 + 484 − 324 = 483

17 × 6 = 102

483 = X − 102

X = 483 + 102 = 585

3. 33² + 198 + 1177 = X + 971 + 29²

Correct Answer: (a) 652
Solution:

33² = 1089

LHS = 1089 + 198 + 1177 = 2464

29² = 841

RHS = X + 971 + 841 = X + 1812

X = 2464 − 1812 = 652

4. 87 × 3 − 7√3 × 4√3 = 313 − X

Correct Answer: (c) 136
Solution:

87 × 3 = 261

7√3 × 4√3 = 28 × (√3×√3) = 28 × 3 = 84

LHS = 261 − 84 = 177

177 = 313 − X

X = 313 − 177 = 136

5. 39² − X = 42² − 799

Correct Answer: (d) 556
Solution:

39² = 1521

42² = 1764

1764 − 799 = 965

1521 − X = 965

X = 1521 − 965 = 556

6. 8 × 126 ÷ 48 = ³√216 × X

Correct Answer: (b) 3.5
Solution:

8 × 126 = 1008

1008 ÷ 48 = 21

³√216 = 6

21 = 6X

X = 21 ÷ 6 = 3.5

7. 1024 ÷ 2⁶ + 297 = X³ − 1913 + 498

Correct Answer: (a) 12
Solution:

2⁶ = 64

1024 ÷ 64 = 16

LHS = 16 + 297 = 313

−1913 + 498 = −1415

So, 313 = X³ − 1415

X³ = 313 + 1415 = 1728

X = ³√1728 = 12

8. √1296 × 60 ÷ 9.6 = X − 789

Correct Answer: (c) 1014
Solution:

√1296 = 36

36 × 60 = 2160

2160 ÷ 9.6 = 225

225 = X − 789

X = 225 + 789 = 1014

9. 33 × 15 + 26² − 48 × A = 835

Correct Answer: (b) 7
Solution:

33 × 15 = 495

26² = 676

495 + 676 = 1171

1171 − 48A = 835

48A = 1171 − 835 = 336

A = 336 ÷ 48 = 7

10. X = 25.25 × 16 + 29² − ³√2197

Correct Answer: (c) 1232
Solution:

25.25 × 16 = (25 × 16) + (0.25 × 16) = 400 + 4 = 404

29² = 841

³√2197 = 13

X = 404 + 841 − 13 = 1232