SSC CGL Algebra Verified Practice Test 3
15 structurally validated Algebra questions with unique options, mapped answers and explanations.
SSC CGL Algebra Verified Practice Test 3
15 structurally validated Algebra questions with unique options, mapped answers and explanations.
Preview all 15 questions in SSC CGL Algebra Verified Practice Test 3 (no login required)
- Factorization
1. 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.
- Quadratic
2. 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.
- Simultaneous Equations
3. 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.
- Simultaneous Equations
4. 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.
- Expressions
5. Value of 4x - 1 when x = 3 is:
- A. 9
- B. 10
- C. 11 (Correct)
- D. 12
Explanation: 4 x 3 - 1 = 11.
- Polynomials
6. Degree of 9x^5 - 2x^2 + 1 is:
- A. 2
- B. 3
- C. 4
- D. 5 (Correct)
Explanation: Highest power of x is 5.
- Identity Use
7. 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.
- Factorization
8. 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.
- Quadratic Roots
9. 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).
- Linear Equations
10. Solve: 9x + 18 = 0
- A. -1
- B. -2 (Correct)
- C. 1
- D. 2
Explanation: 9x = -18, so x = -2.
- Identity Use
11. 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.
- Factorization
12. 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.
- Linear Equation
13. Solve: 4x + 7 = 27
- A. 4
- B. 5 (Correct)
- C. 6
- D. 7
Explanation: 4x = 20, so x = 5.
- Identity
14. Value of (a + b)^2 is:
- A. a^2 + b^2
- B. a^2 + 2ab + b^2 (Correct)
- C. a^2 - 2ab + b^2
- D. 2a + 2b
Explanation: This is the standard identity.
- Linear Equation
15. Solve: 3x - 11 = 10
- A. 5
- B. 6
- C. 7 (Correct)
- D. 8
Explanation: 3x = 21, so x = 7.