SSC CGL Simplification Verified Practice Test 6

1. √(15129) = ?

• A. 121
• B. 123 (Correct)
• C. 127
• D. 129

Explanation: 123² = 15129.

2. 3 of 4 + 9 ÷ 3 − 2 × 2 = ?

• A. 11 (Correct)
• B. 12
• C. 13
• D. 15

Explanation: 'of' means multiply: 3×4=12. 9÷3=3, 2×2=4. 12+3−4=11.

3. Simplify: (2.5 × 2.5 − 1.5 × 1.5)/(2.5 + 1.5)

• A. 0.5
• B. 1 (Correct)
• C. 1.5
• D. 2

Explanation: (a²−b²)/(a+b) = a−b = 2.5−1.5 = 1.

4. (0.8)² + (0.6)² = ?

• A. 0.64
• B. 0.84
• C. 1.00 (Correct)
• D. 1.04

Explanation: 0.64+0.36=1.00.

5. If √2=1.414, value of 1/√2 is:

• A. 0.607
• B. 0.707 (Correct)
• C. 0.717
• D. 0.807

Explanation: 1/√2=√2/2=1.414/2=0.707.

6. Which of these equals 1: 2/3+1/6+1/9+?

• A. 1/18 (Correct)
• B. 1/9
• C. 1/6
• D. 1/3

Explanation: 2/3+1/6+1/9=12/18+3/18+2/18=17/18. Remaining=1/18.

7. 700 ÷ [5 × {3 + (8 ÷ 4)}] = ?

• A. 14 (Correct)
• B. 16
• C. 18
• D. 20

Explanation: 8÷4=2, 3+2=5, 5×5=25, 700÷50=14.

8. 756.82 + 82.765 + 6.8 = ?

• A. 844.385
• B. 845.385
• C. 846.385 (Correct)
• D. 847.385

Explanation: 756.82+82.765=839.585+6.8=846.385.

9. 3/7 of 2/5 of 315 = ?

• A. 52
• B. 54 (Correct)
• C. 56
• D. 58

Explanation: 315×2/5=126; 126×3/7=54.

10. 48 − 12 ÷ 4 × 3 + 5 = ?

• A. 36
• B. 38
• C. 40
• D. 44 (Correct)

Explanation: 12÷4=3, 3×3=9, 48−9+5=44.

11. Simplify: √75 + √48 − √27.

• A. 6√3 (Correct)
• B. 5√3
• C. 4√3
• D. 3√3

Explanation: 5√3+4√3−3√3=6√3.

12. 729 × 24 ÷ 6 = ?

• A. 2800
• B. 2912
• C. 2916 (Correct)
• D. 3000

Explanation: 729×24=17496; 17496÷6=2916.

13. Simplify: 6 + 4 × 3

• A. 21
• B. 18 (Correct)
• C. 19
• D. 17

Explanation: Multiplication before addition.

14. Simplify: 6 + 5 × 4

• A. 27
• B. 29
• C. 26 (Correct)
• D. 25

Explanation: Multiplication before addition.

15. Simplify: 6 + 6 × 5

• A. 39
• B. 37
• C. 36 (Correct)
• D. 35

Explanation: Multiplication before addition.