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SSC CGL Linear Equations Practice Test 2

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 2

15 SSC CGL linear equations 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 Linear Equations Practice Test 2 (no login required)
  1. Linear Equations

    1. Solve: 4x - 7 = 9

    • A. 2
    • B. 3
    • C. 4 (Correct)
    • D. 5

    Explanation: 4x = 16, so x = 4.

  2. Linear Equations

    2. If 5x = 35, x =

    • A. 5
    • B. 6
    • C. 7 (Correct)
    • D. 8

    Explanation: x = 35/5 = 7.

  3. Linear Equations

    3. (a + b)(a - b) =

    • A. a^2 - b^2 (Correct)
    • B. a^2 + b^2
    • C. a^2 + 2ab + b^2
    • D. a^2 - 2ab + b^2

    Explanation: This is the standard difference of squares identity.

  4. Linear Equations

    4. Factorize: x^2 - 16

    • A. (x - 4)(x + 4) (Correct)
    • B. (x - 8)(x + 2)
    • C. (x - 2)(x + 8)
    • D. (x - 4)^2

    Explanation: It is a difference of squares.

  5. Linear Equations

    5. If x^2 - 16 = 0, then x =

    • A. 4 only
    • B. -4 only
    • C. ±4 (Correct)
    • D. ±8

    Explanation: x^2 = 16, so x = ±4.

  6. Linear Equations

    6. If x + y = 14 and x - y = 4, then x =

    • A. 8
    • B. 9 (Correct)
    • C. 10
    • D. 11

    Explanation: Adding gives 2x = 18, so x = 9.

  7. Linear Equations

    7. If x + y = 14 and x - y = 4, then y =

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

    Explanation: With x = 9, y = 5.

  8. Linear Equations

    8. Value of 3x + 2 when x = 5 is:

    • A. 15
    • B. 16
    • C. 17 (Correct)
    • D. 18

    Explanation: 3 x 5 + 2 = 17.

  9. Linear Equations

    9. Degree of 7x^4 - 2x + 3 is:

    • A. 2
    • B. 3
    • C. 4 (Correct)
    • D. 7

    Explanation: Highest power of x is 4.

  10. Linear Equations

    10. If a + b = 12 and ab = 20, then a^2 + b^2 =

    • A. 88
    • B. 94
    • C. 104 (Correct)
    • D. 124

    Explanation: a^2 + b^2 = (a+b)^2 - 2ab = 144 - 40 = 104.

  11. Linear Equations

    11. Factorize: x^2 + 7x + 12

    • A. (x+3)(x+4) (Correct)
    • B. (x+2)(x+6)
    • C. (x-3)(x-4)
    • D. (x+4)^2

    Explanation: 3 and 4 multiply to 12 and add to 7.

  12. Linear Equations

    12. Roots of x^2 - 7x + 12 = 0 are:

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

    Explanation: x^2 - 7x + 12 = (x-3)(x-4).

  13. Linear Equations

    13. Solve: 6x + 12 = 0

    • A. -1
    • B. -2 (Correct)
    • C. 1
    • D. 2

    Explanation: 6x = -12, so x = -2.

  14. Linear Equations

    14. If x + 1/x = 6, then x^2 + 1/x^2 =

    • A. 32
    • B. 34 (Correct)
    • C. 36
    • D. 38

    Explanation: (x + 1/x)^2 = x^2 + 1/x^2 + 2, so x^2 + 1/x^2 = 36 - 2 = 34.

  15. Linear Equations

    15. Factorize: x^2 - 5x - 14

    • A. (x-7)(x+2) (Correct)
    • B. (x-2)(x+7)
    • C. (x+7)(x+2)
    • D. (x-7)(x-2)

    Explanation: -7 and 2 multiply to -14 and add to -5.