Mock Test

Exam: SSC CGL Subject: Quantitative Aptitude Topic: Algebra

Total Questions: 20

Q1. The highest power of the variable in a polynomial is called its:

Coefficient Constant Degree Term
Q2. If the roots of a quadratic equation are 5 and -3, what is the equation?

x^2 + 2x - 15 = 0 x^2 - 2x - 15 = 0 x^2 + 2x + 15 = 0 x^2 - 2x + 15 = 0
Q3. If logₓ(y) = z, then y = ?

xᶻ zˣ xʸ yˣ
Q4. If a, b, c are in AP, then which of the following is true?

a+c = 2b a+b = 2c b+c = 2a a+b+c = 0
Q5. The polynomial $P(x) = x^3 - 6x^2 + 11x - 6$ has factors $(x-1)$ and $(x-2)$. What is the third factor?

$(x+3)$ $(x-3)$ $(x+2)$ $(x-1)$
Q6. If the geometric mean of two numbers is 'x', and one number is 'a', the other number is:

x/a x*a x^2/a a/x
Q7. Consider the system of equations: x - y = 2, 2x - 2y = 4. In matrix form, what is the determinant of the coefficient matrix?

0 1 2 4
Q8. If 5x + 2y = 16 and 3x + 2y = 8, find the value of x.

3 4 5 6
Q9. The product of three numbers is 729. What is their geometric mean?

9 27 81 3
Q10. The system x + y + z = 6, x + 2y + 3z = 14, 2x + 5y + z = 18 is consistent. What is the determinant of the coefficient matrix?

0 1 2 3
Q11. If the roots of $ax^2 + bx + c = 0$ are equal, then:

b² = 4ac b² = -4ac 4b² = ac ac = 4b
Q12. Factorize $a^2 + 2ab + b^2$

(a - b)(a - b) (a + b)(a - b) (a + b)(a + b) a(a + 2b)
Q13. The sum of the first and the last term of an AP is 80. If the sum of all terms is 400, how many terms are there in the AP?

9 10 11 12
Q14. If vector A = (4, -3), what is its magnitude?

1 4 5 7
Q15. Determine the horizontal asymptote of $f(x) = \frac{4x^3 + 2x}{x^2 - 1}$

y = 4 y = 0 No horizontal asymptote y = 1
Q16. If $a^x = b$, $b^y = c$, $c^z = a$, then the value of $xyz$ is:

0 1 -1 2
Q17. If $2^x = 8^{y-1}$ and $3^y = 9^{z+2}$, then $x$ in terms of $z$ is:

$3z+7$ $3z+9$ $4z+7$ $4z+9$
Q18. If a line passes through (1, 1) and (3, 3), what is its equation?

y = x y = 2x y = x + 1 y = 3x
Q19. If vector A = (x, y), what is -A?

(x, y) (-x, -y) (y, x) (y, -x)
Q20. If $S_n$ is the sum of the first $n$ terms of a geometric progression, and $S_4 = 30$ and $S_8 = 510$, what is the common ratio?

2 3 4 5

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