SSC CGL Algebra Verified Practice Test 4

1. 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.

2. 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.

3. 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.

4. Solve: 2x = 18

• A. 6
• B. 7
• C. 8
• D. 9 (Correct)

Explanation: Divide both sides by 2.

5. 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.

6. 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.

7. 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.

8. Value of (a + b)^2 - 2ab is:

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

Explanation: Expand and simplify.

9. If x + y = 12 and x - y = 4, x =

• A. 6
• B. 7
• C. 8 (Correct)
• D. 9

Explanation: Add the equations.

10. If x = 4, then x^2 + 3x = ?

• A. 24
• B. 26
• C. 28 (Correct)
• D. 30

Explanation: 16 + 12 = 28.

11. For x^2 - 7x + 10 = 0, sum of roots is:

• A. 5
• B. 6
• C. 7 (Correct)
• D. 10

Explanation: For x^2 - 7x + 10, sum of roots is 7.

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

• A. 2
• B. 3
• C. 4 (Correct)
• D. 5

Explanation: Highest power is 4.

13. Roots of x^2 - 6x + 8 = 0 are:

• A. 2 and 4 (Correct)
• B. 3 and 3
• C. -2 and -4
• D. 1 and 8

Explanation: Factorization gives (x-2)(x-4).

14. If x = 3 and y = 2, then 3x^2 - 2y =

• A. 21
• B. 23 (Correct)
• C. 25
• D. 27

Explanation: 3 x 9 - 4 = 23.

15. If x+y=5 and xy=6, then x²+y² is:

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

Explanation: x²+y²=(x+y)²−2xy=25−12=13.