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Practice Test 8
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SSC CGL Surds and Indices Practice Test 8

15 SSC CGL surds and indices questions with chapter-wise explanations and exam-style options.

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SSC CGL Practice Session

SSC CGL Surds and Indices Practice Test 8

15 SSC CGL surds and indices questions with chapter-wise explanations and exam-style options.

Questions
15
Marking
+2 correct, -0.5 wrong
Format
15-question ad-supported session
Preview all 15 questions in SSC CGL Surds and Indices Practice Test 8 (no login required)
  1. Surds and Indices

    1. 25 × 4 ÷ 2 + 10 − 5 = ?

    • A. 50
    • B. 55 (Correct)
    • C. 60
    • D. 65

    Explanation: 25×4=100, 100÷2=50, 50+10−5=55.

  2. Surds and Indices

    2. 4½ × 2⅔ = ?

    • A. 10
    • B. 11
    • C. 12 (Correct)
    • D. 13

    Explanation: 9/2 × 8/3 = 72/6 = 12.

  3. Surds and Indices

    3. √(15129) = ?

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

    Explanation: 123² = 15129.

  4. Surds and Indices

    4. 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.

  5. Surds and Indices

    5. 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.

  6. Surds and Indices

    6. (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.

  7. Surds and Indices

    7. 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.

  8. Surds and Indices

    8. 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.

  9. Surds and Indices

    9. 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.

  10. Surds and Indices

    10. ∛(13824) = ?

    • A. 22
    • B. 24 (Correct)
    • C. 26
    • D. 28

    Explanation: 24³=13824.

  11. Surds and Indices

    11. 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.

  12. Surds and Indices

    12. 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.

  13. Surds and Indices

    13. 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.

  14. Surds and Indices

    14. 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.

  15. Surds and Indices

    15. 729 × 24 ÷ 6 = ?

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

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