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Practice Test 8
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SSC CGL Linear Equations Practice Test 8

15 SSC CGL linear equations questions with chapter-wise explanations and exam-style options.

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SSC CGL Practice Session

SSC CGL Linear Equations Practice Test 8

15 SSC CGL linear equations questions with chapter-wise explanations and exam-style options.

Questions
14
Marking
+2 correct, -0.5 wrong
Format
15-question ad-supported session
Preview all 14 questions in SSC CGL Linear Equations Practice Test 8 (no login required)
  1. Linear Equations

    1. If x + 1/x = 4, find x² + 1/x².

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

    Explanation: (x+1/x)²=x²+2+1/x²=16. So x²+1/x²=14.

  2. Linear Equations

    2. If x+y+z=0, find x³+y³+z³.

    • A. 0
    • B. 3xyz (Correct)
    • C. xyz
    • D. 3(x+y+z)

    Explanation: When x+y+z=0, x³+y³+z³=3xyz.

  3. Linear Equations

    3. If x/3 + 5 = 8, find x.

    • A. 6
    • B. 8
    • C. 9 (Correct)
    • D. 12

    Explanation: x/3=3 → x=9.

  4. Linear Equations

    4. Which value of x satisfies x² − 7x + 12 = 0?

    • A. x=3 or x=4 (Correct)
    • B. x=2 or x=6
    • C. x=1 or x=12
    • D. x=3 or x=5

    Explanation: (x−3)(x−4)=0.

  5. Linear Equations

    5. If a+b=6 and ab=8, find a²+b².

    • A. 18
    • B. 20 (Correct)
    • C. 22
    • D. 24

    Explanation: a²+b²=(a+b)²−2ab=36−16=20.

  6. Linear Equations

    6. Ages of two brothers differ by 5 years. Sum of their ages is 29. Younger brother's age:

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

    Explanation: x+(x+5)=29 → x=12.

  7. Linear Equations

    7. If p(x)=x³−3x²+4x−12, find p(3).

    • A. 0 (Correct)
    • B. 3
    • C. 6
    • D. 9

    Explanation: 27−27+12−12=0.

  8. Linear Equations

    8. Value of (a+b)² + (a−b)² =

    • A. 2a²+2b² (Correct)
    • B. 4ab
    • C. 2a²−2b²
    • D. a²+b²

    Explanation: (a+b)²+(a−b)²=a²+2ab+b²+a²−2ab+b²=2a²+2b².

  9. Linear Equations

    9. Product of roots of 3x²−5x+2=0 is:

    • A. 2/3 (Correct)
    • B. 3/2
    • C. 5/3
    • D. 5/2

    Explanation: Product = c/a = 2/3.

  10. Linear Equations

    10. If x + y = 10 and xy = 21, find 1/x + 1/y.

    • A. 10/21 (Correct)
    • B. 21/10
    • C. 1/2
    • D. 2/3

    Explanation: 1/x+1/y=(x+y)/xy=10/21.

  11. Linear Equations

    11. A two-digit number is thrice the sum of its digits. Its units digit is 5 more than its tens digit. The number is:

    • A. 24
    • B. 27 (Correct)
    • C. 36
    • D. 48

    Explanation: Let the tens digit be t, so the units digit is t + 5. Then the number is 11t + 5 and the digit sum is 2t + 5. So 11t + 5 = 3(2t + 5), giving t = 2. The number is 27.

  12. Linear Equations

    12. If x+2 is a factor of x²+5x+k, find k.

    • A. 4
    • B. 5
    • C. 6 (Correct)
    • D. 7

    Explanation: x=−2: 4−10+k=0 → k=6.

  13. Linear Equations

    13. If a/b + b/a = 1, then a³+b³ = ?

    • A. 0 (Correct)
    • B. 1
    • C. −1
    • D. 2

    Explanation: a/b+b/a=1 → a²+b²=ab. a³+b³=(a+b)(a²−ab+b²)=(a+b)(ab−ab)=0.

  14. Linear Equations

    14. If 4(x+1) = 3(x+4), find x.

    • A. 6
    • B. 7
    • C. 8 (Correct)
    • D. 9

    Explanation: 4x+4=3x+12 → x=8.