SSC CGL Algebra Verified Practice Test 2
15 structurally validated Algebra questions with unique options, mapped answers and explanations.
SSC CGL Algebra Verified Practice Test 2
15 structurally validated Algebra questions with unique options, mapped answers and explanations.
Preview all 15 questions in SSC CGL Algebra Verified Practice Test 2 (no login required)
- Identities
1. (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.
- Factorization
2. 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.
- Quadratic
3. 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.
- Simultaneous Equations
4. 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.
- Simultaneous Equations
5. 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.
- Expressions
6. Value of 3x + 2 when x = 5 is:
- A. 15
- B. 16
- C. 17 (Correct)
- D. 18
Explanation: 3 x 5 + 2 = 17.
- Polynomials
7. Degree of 7x^4 - 2x + 3 is:
- A. 2
- B. 3
- C. 4 (Correct)
- D. 7
Explanation: Highest power of x is 4.
- Identity Use
8. 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.
- Factorization
9. 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.
- Quadratic Roots
10. 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).
- Linear Equations
11. Solve: 6x + 12 = 0
- A. -1
- B. -2 (Correct)
- C. 1
- D. 2
Explanation: 6x = -12, so x = -2.
- Identity Use
12. 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.
- Factorization
13. 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.
- Linear Equations
14. Solve: 7x - 14 = 0
- A. 1
- B. 2 (Correct)
- C. 3
- D. 4
Explanation: 7x = 14, so x = 2.
- Linear Equations
15. If 4x = 28, x =
- A. 5
- B. 6
- C. 7 (Correct)
- D. 8
Explanation: x = 28/4 = 7.