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Practice Test 3
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SSC CGL Algebra Practice Test 3

15 more SSC algebra questions on identities, factorization, equations, and root logic.

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SSC CGL Practice Session

SSC CGL Algebra Practice Test 3

15 more SSC algebra questions on identities, factorization, equations, and root logic.

Questions
14
Marking
+2 correct, -0.5 wrong
Format
15-question ad-supported session
Preview all 14 questions in SSC CGL Algebra Practice Test 3 (no login required)
  1. Linear Equations

    1. Solve: 7x - 14 = 0

    • A. 1
    • B. 2 (Correct)
    • C. 3
    • D. 4

    Explanation: 7x = 14, so x = 2.

  2. Linear Equations

    2. If 4x = 28, x =

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

    Explanation: x = 28/4 = 7.

  3. Factorization

    3. Factorize: x^2 - 25

    • A. (x-5)(x+5) (Correct)
    • B. (x-25)(x+1)
    • C. (x-5)^2
    • D. (x+5)^2

    Explanation: It is a difference of squares.

  4. Quadratic

    4. If x^2 - 25 = 0, then x =

    • A. 5 only
    • B. -5 only
    • C. ±5 (Correct)
    • D. ±25

    Explanation: x^2 = 25, so x = ±5.

  5. Simultaneous Equations

    5. If x + y = 20 and x - y = 6, then x =

    • A. 11
    • B. 12
    • C. 13 (Correct)
    • D. 14

    Explanation: Adding gives 2x = 26, so x = 13.

  6. Simultaneous Equations

    6. If x + y = 20 and x - y = 6, then y =

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

    Explanation: With x = 13, y = 7.

  7. Expressions

    7. Value of 4x - 1 when x = 3 is:

    • A. 9
    • B. 10
    • C. 11 (Correct)
    • D. 12

    Explanation: 4 x 3 - 1 = 11.

  8. Polynomials

    8. Degree of 9x^5 - 2x^2 + 1 is:

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

    Explanation: Highest power of x is 5.

  9. Identity Use

    9. If a + b = 9 and ab = 14, then a^2 + b^2 =

    • A. 49
    • B. 53 (Correct)
    • C. 59
    • D. 67

    Explanation: a^2 + b^2 = (a+b)^2 - 2ab = 81 - 28 = 53.

  10. Factorization

    10. Factorize: x^2 + 9x + 20

    • A. (x+4)(x+5) (Correct)
    • B. (x+2)(x+10)
    • C. (x-4)(x-5)
    • D. (x+5)^2

    Explanation: 4 and 5 multiply to 20 and add to 9.

  11. Quadratic Roots

    11. Roots of x^2 - 9x + 20 = 0 are:

    • A. 4 and 5 (Correct)
    • B. 2 and 10
    • C. 1 and 20
    • D. 3 and 6

    Explanation: x^2 - 9x + 20 = (x-4)(x-5).

  12. Linear Equations

    12. Solve: 9x + 18 = 0

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

    Explanation: 9x = -18, so x = -2.

  13. Identity Use

    13. If x + 1/x = 4, then x^2 + 1/x^2 =

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

    Explanation: (x + 1/x)^2 = x^2 + 1/x^2 + 2, so x^2 + 1/x^2 = 16 - 2 = 14.

  14. Factorization

    14. Factorize: x^2 - x - 12

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

    Explanation: -4 and 3 multiply to -12 and add to -1.