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Practice Test 7
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SSC CGL Surds and Indices Practice Test 7

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 7

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 7 (no login required)
  1. Surds and Indices

    1. 8 + 4 × 3 – 6 ÷ 2 = ?

    • A. 14
    • B. 17 (Correct)
    • C. 18
    • D. 20

    Explanation: 4×3=12, 6÷2=3. Then 8+12−3=17.

  2. Surds and Indices

    2. 3/4 + 5/8 = ?

    • A. 9/8
    • B. 11/8 (Correct)
    • C. 13/8
    • D. 15/8

    Explanation: 6/8 + 5/8 = 11/8.

  3. Surds and Indices

    3. 0.36 × 0.04 = ?

    • A. 0.0144 (Correct)
    • B. 0.144
    • C. 1.44
    • D. 14.4

    Explanation: 36 × 4 = 144, then adjust 4 decimal places.

  4. Surds and Indices

    4. √(0.0025) = ?

    • A. 0.005
    • B. 0.05 (Correct)
    • C. 0.5
    • D. 5

    Explanation: √(25/10000) = 5/100 = 0.05.

  5. Surds and Indices

    5. 98 ÷ [25 − {3 × (4 + 2)}] = ?

    • A. 12
    • B. 14 (Correct)
    • C. 16
    • D. 18

    Explanation: 4+2=6, 3×6=18, 25−18=7, and 98÷7 = 14.

  6. Surds and Indices

    6. √(8100) × √(625) = ?

    • A. 2250 (Correct)
    • B. 2025
    • C. 1800
    • D. 1575

    Explanation: √8100=90, √625=25. 90×25=2250.

  7. Surds and Indices

    7. What is 7/11 of 1210?

    • A. 660
    • B. 700
    • C. 770 (Correct)
    • D. 780

    Explanation: 1210 × 7/11 = 110 × 7 = 770.

  8. Surds and Indices

    8. Value of (√5 + √3)/(√5 − √3) is:

    • A. 4+√15 (Correct)
    • B. 2+√15
    • C. 8+√15
    • D. 4+2√15

    Explanation: Multiply by (√5+√3)/(√5+√3): (√5+√3)^2/(5−3) = (8+2√15)/2 = 4+√15.

  9. Surds and Indices

    9. 45.5 + 4.55 + 0.455 = ?

    • A. 50.505 (Correct)
    • B. 50.055
    • C. 50.550
    • D. 49.505

    Explanation: Sum = 50.505.

  10. Surds and Indices

    10. 18 × 3 + 14 ÷ 7 − 5 = ?

    • A. 49
    • B. 51 (Correct)
    • C. 53
    • D. 55

    Explanation: 18×3=54, 14÷7=2, 54+2−5=51.

  11. Surds and Indices

    11. Which is largest: 7/8, 5/6, 11/12, 3/4?

    • A. 7/8
    • B. 5/6
    • C. 11/12 (Correct)
    • D. 3/4

    Explanation: LCD=24: 7/8=21/24, 5/6=20/24, 11/12=22/24, 3/4=18/24. Largest is 11/12.

  12. Surds and Indices

    12. √(7056) = ?

    • A. 74
    • B. 82
    • C. 84 (Correct)
    • D. 86

    Explanation: 84 × 84 = 7056.

  13. Surds and Indices

    13. Simplify: 3√12 − 2√27 + √48.

    • A. 0
    • B. 2√3
    • C. 3√3
    • D. 4√3 (Correct)

    Explanation: 3√12 = 6√3, 2√27 = 6√3, and √48 = 4√3. Therefore the value is 6√3 - 6√3 + 4√3 = 4√3.

  14. Surds and Indices

    14. (15 + 3) × 2 − 12 ÷ 4 = ?

    • A. 30
    • B. 33 (Correct)
    • C. 36
    • D. 39

    Explanation: 18×2=36, 12÷4=3, 36−3=33.

  15. Surds and Indices

    15. What is 0.1 × 0.01 × 0.001?

    • A. 0.0001
    • B. 0.00001
    • C. 0.000001 (Correct)
    • D. 0.0000001

    Explanation: 0.1×0.01=0.001, 0.001×0.001=0.000001.