Mock Test

Exam: SSC CGL Subject: Quantitative Aptitude Topic: Algebra

Total Questions: 20

Q1. If the geometric mean of two numbers is 6, and one number is 4, what is the other number?

7 8 9 10
Q2. What is the next number in the series 1, 1, 1, 1, ?

1 2 0 3
Q3. Consider h(x) = x^2 + x and k(x) = 2x. Find the values of x where h(x) = k(x).

x = 0, x = 1 x = 1, x = -1 x = 0, x = -1 x = 0
Q4. If x + y = 10 and x - y = 2, find the value of x + y.

8 10 12 20
Q5. What are the factors of $4x^2 - 9y^2$?

(2x - 3y)(2x - 3y) (4x - 9y)(x + y) (2x + 3y)(2x - 3y) (2x + 3y)(2x + 3y)
Q6. The average of 'n' numbers is 'A'. If one number 'A' is removed from the set, what will be the new average?

A (nA - A) / (n - 1) nA / (n - 1) (nA - A) / n
Q7. Which of the following is NOT a component of the scalar product formula?

Magnitude of the first vector Magnitude of the second vector Sine of the angle Cosine of the angle
Q8. Let f(x) = 4x - 5 and g(x) = 2x + 3. What is the value of x when f(x) = g(x)?

1 2 3 4
Q9. If the graph of y = f(x) is shifted 2 units to the left, the new equation is:

y = f(x - 2) y = f(x + 2) y = f(x) - 2 y = f(x) + 2
Q10. If 6x + 3 >= 2x - 5, what is the value of x?

x >= -2 x <= -2 x >= 2 x <= 2
Q11. If a vector $ \vec{v} $ is perpendicular to a plane $ \vec{r} \cdot \vec{n} = d $, then:

$ \vec{v} $ is parallel to $ \vec{n} $ $ \vec{v} $ is perpendicular to $ \vec{n} $ $ \vec{v} $ lies in the plane $ \vec{v} $ is the zero vector
Q12. The value of $\sqrt{10+\sqrt{24}} - \sqrt{10-\sqrt{24}}$ is:

2 4 $\sqrt{2}$ $2\sqrt{6}$
Q13. If $x^2 + \frac{1}{x^2} = 47$, then the value of $x - \frac{1}{x}$ is:

$5$ $6$ $7$ $8$
Q14. What is the 5th term of the sequence: 1, 4, 9, 16, ...?

20 25 30 36
Q15. The sequence 1, 1, 1, 1, ... is a geometric progression with a common ratio of:

0 1 2 -1
Q16. Which notation is used to represent a function?

f + g f * g f(x) f / g
Q17. If $f(x) = \frac{ax+b}{cx+d}$, for what condition is $f(f(x)) = x$?

$d = -a$ $d = a$ $c = b$ $c = -b$
Q18. What is the argument of z = 2 + 2i?

0 π/4 π/2 π
Q19. If P(x) = 3x^2 - 2x - 1, then (x - 1) is a factor of P(x) because:

P(1) = 0 P(-1) = 0 P(0) = 0 P(2) = 0
Q20. Which equation represents the definition of the modulus function for x >= 0?

|x| = -x |x| = x |x| = 0 |x| = 1

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