Mock Test

Exam: SSC CGL Subject: Quantitative Aptitude Topic: Algebra

Total Questions: 20

Q1. The sum of the first n terms of an AP is 2n^2 + 3n. What is the common difference?

2 3 4 5
Q2. What is the degree of the polynomial $2x + 5$?

0 1 2 5
Q3. If A is a square matrix and its determinant is non-zero, then the system Ax = b has:

No solution Infinitely many solutions A unique solution No unique solution
Q4. If log₃(x) = 2, then what is the value of x?

3 6 9 27
Q5. log₁₀(10⁻²) is equal to:

2 -2 1/100 100
Q6. Which of the following is NOT a coordinate plane?

xy-plane yz-plane xz-plane The plane x+y+z=1
Q7. If A is a 3x3 matrix with det(A) = 0, then the homogeneous system Ax = 0 has:

Only the trivial solution A unique non-trivial solution Infinitely many non-trivial solutions No solution
Q8. The sum of the digits of a two-digit number is 9. If 45 is added to the number, the digits are reversed. Find the number.

27 36 45 72
Q9. What is the sum of the first 3 terms of the arithmetic sequence: 1, 4, 7, ...?

9 10 12 15
Q10. Find the minimum value of (x+y)(1/x + 1/y) for positive x and y.

1 2 3 4
Q11. If f(x) = x + 5, what is the solution to f(x) = 12?

5 6 7 8
Q12. In an AP, the sum of p terms is equal to the sum of q terms. Then the sum of the first (p+q) terms is:

p+q pq 0 1
Q13. Solve for $x$: $2^x + 2^{x-1} = 12$.

2 3 4 5
Q14. The average of 5 consecutive odd numbers is 25. What is the largest of these numbers?

23 27 29 31
Q15. What is the product of 4y and 2?

6y 8y 6 8
Q16. If P(x) = 3x^2 - 2x - 1, what is P(1)?

0 1 2 3
Q17. The element in the i-th row and j-th column of the product AB is given by:

Sum of products of elements of i-th row of A and j-th column of B Product of elements of i-th row of A and j-th column of B Sum of elements of i-th row of A Sum of elements of j-th column of B
Q18. If h(x) = x/2, what is h(4x)?

x 2x 4x 8x
Q19. Let $P(x) = x^3 - 5x^2 + 7x - 2$. If $x-2$ is a factor of $P(x)$, and $x-a$ is another factor, what is the value of $a$?

1 2 3 4
Q20. If log₄(x) = 1/2, then the value of x is:

1/2 2 4 16

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