Mock Test

Exam: SSC CGL Subject: Quantitative Aptitude Topic: Algebra

Total Questions: 20

Q1. If the harmonic mean of 'n' numbers is H, and the sum of the numbers is S, then the sum of the reciprocals of the numbers is:

n/H S/H nH/S nS/H
Q2. Given (3a-5)/(a-4) < 0, what is the largest integer value of a?

0 1 2 3
Q3. If k(x) = 2x + 3, for what value of x is k(x) = k(x+1)?

Any real number No solution -3 3
Q4. Which operation on rows of a determinant does not change its value?

Multiplying a row by a scalar Interchanging two rows Adding a multiple of one row to another row Multiplying all elements by a scalar
Q5. If m(x) = 5, what is the solution to m(x) > 3?

No solution All real numbers x > 3 x < 3
Q6. Given p(x) = 3/x and q(x) = x - 2, find the values of x where p(x) = q(x).

x = 3, x = -1 x = -3, x = 1 x = 3, x = 1 x = -3, x = -1
Q7. Find the volume of the tetrahedron formed by the points (0,0,0), (1,0,0), (0,1,0), and (0,0,1).

1/6 1/3 1/2 1
Q8. If x + y = 10 and x - y = 4, what is the value of x?

6 7 8 9
Q9. What is the dependent variable in y = 2x - 1?

x 2 -1 y
Q10. If 7 - 2s > 1, what is the value of s?

s < 3 s > 3 s < 4 s > 4
Q11. What is the value of f(x) = c (where c is a constant)?

x c 0 1
Q12. What is the value of |5 - 2|?

3 -3 7 -7
Q13. What is the value of (x + 1/x)^2?

x^2 + 1/x^2 x^2 + 1/x^2 + 1 x^2 + 1/x^2 + 2 x^2 + 1/x^2 - 2
Q14. What is the geometric mean of 1, 1, 1, 1, 1?

0 1 5 undefined
Q15. The graph of a quadratic function is called a:

Line Circle Parabola Ellipse
Q16. If p(x) = 5, what is p(10)?

5 10 15 50
Q17. If 3/4 * s < 9, what is the value of s?

s < 12 s > 12 s < 6.75 s > 6.75
Q18. What is the y-intercept of the function f(x) = 4x?

4 0 1 -4
Q19. If z₁ = 3 + 4i and z₂ = 6 + 8i, then |z₁ + z₂| is:

5 10 15 20
Q20. The product of the 2nd and 8th terms of a geometric progression is 256. What is the 5th term?

8 16 32 64

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