SSC CGL Algebra Practice Test 5
15 fresh SSC CGL algebra questions on equations, identities, quadratics, and expressions.
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SSC CGL Algebra Practice Test 5
15 fresh SSC CGL algebra questions on equations, identities, quadratics, and expressions.
Preview all 10 questions in SSC CGL Algebra Practice Test 5 (no login required)
- Linear Equation
1. Solve: 4x + 7 = 27
- A. 4
- B. 5 (Correct)
- C. 6
- D. 7
Explanation: 4x = 20, so x = 5.
- Identity
2. 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
3. Solve: 3x - 11 = 10
- A. 5
- B. 6
- C. 7 (Correct)
- D. 8
Explanation: 3x = 21, so x = 7.
- Expression
4. If x = 3, then value of x^2 + 2x + 1 is:
- A. 12
- B. 14
- C. 16 (Correct)
- D. 18
Explanation: Substitute x = 3: 9 + 6 + 1 = 16.
- Roots
5. If the roots of x^2 - 5x + 6 = 0 are a and b, then a + b =
- A. 3
- B. 5 (Correct)
- C. 6
- D. 8
Explanation: For x^2 - 5x + 6 = 0, sum of roots = 5.
- Polynomial
6. Degree of the polynomial 7x^3 + 2x - 1 is:
- A. 1
- B. 2
- C. 3 (Correct)
- D. 4
Explanation: The highest power of x is 3.
- Linear Equation
7. Solve: 2x = 18
- A. 6
- B. 7
- C. 8
- D. 9 (Correct)
Explanation: Divide both sides by 2.
- Identity
8. If a + b = 8 and ab = 12, then a^2 + b^2 =
- A. 28
- B. 32
- C. 36
- D. 40 (Correct)
Explanation: a^2 + b^2 = (a + b)^2 - 2ab = 64 - 24 = 40.
- Quadratic
9. The roots of x^2 - x - 6 = 0 are:
- A. 2 and 3
- B. -2 and -3
- C. 3 and -2 (Correct)
- D. 1 and -6
Explanation: Factorization gives (x - 3)(x + 2) = 0.
- Expression
10. If x = 2 and y = 3, then value of 2x^2 + 3y is:
- A. 13
- B. 15
- C. 17 (Correct)
- D. 19
Explanation: 2 x 4 + 3 x 3 = 8 + 9 = 17.