Mock Test

Exam: SSC CGL Subject: Quantitative Aptitude Topic: Algebra

Total Questions: 20

Q1. If A is invertible, then (kA)⁻¹ is equal to:

kA⁻¹ A⁻¹/k A/(k²) k/A⁻¹
Q2. If $a = \frac{\sqrt{3}+1}{\sqrt{3}-1}$ and $b = \frac{\sqrt{3}-1}{\sqrt{3}+1}$, then the value of $a-b$ is:

$2\sqrt{3}$ $4\sqrt{3}$ $6$ $8$
Q3. If $x = 1$ is a root of $x^2 + ax - 3 = 0$, then a is:

2 -2 3 -3
Q4. The average age of a group of 'A' persons is 30 years. If 5 new persons with an average age of 40 years join the group, the new average age of the group becomes 32 years. What is the value of 'A'?

10 15 20 25
Q5. If $5x - 2y = 19$ and $3x - y = 9$, find the value of $x$.

5 7 9 11
Q6. Solve for $x$ and $y$: $x+2y=1$ and $3x+4y=7$.

x=1, y=0 x=3, y=-1 x=-1, y=1 x=2, y=-1/2
Q7. If the mean of 5, 10, and y is 10, what is the value of y?

5 10 15 25
Q8. A polynomial of degree 1 is called a:

Quadratic polynomial Cubic polynomial Linear polynomial Constant polynomial
Q9. If $x-2$ and $x-3$ are factors of the polynomial $P(x) = x^3 - ax^2 + bx - 6$, then what are the values of $a$ and $b$?

a=5, b=2 a=5, b=11 a=6, b=11 a=6, b=13
Q10. Find the x-intercept(s) of $h(x) = \frac{x^2 - 1}{x^2 - 4}$

x = 1 and x = -1 x = 2 and x = -2 x = 1 x = 2
Q11. If z = cosθ + i sinθ, then zⁿ is equal to:

cos(nθ) + i sin(nθ) cos(θ/n) + i sin(θ/n) cos(θⁿ) + i sin(θⁿ) cos(n) + i sin(n)
Q12. If x/4 = 3, what is x?

7 9 12 15
Q13. The value of arg((1+i)/(1-i)) is:

0 π/4 π/2 π
Q14. If $(x+2)$ is a factor of $3x^3 + kx^2 + 5x - 6$, then $k$ is:

$3$ $4$ $5$ $6$
Q15. Find the sum of the first 5 terms of the AP 1, 4, 7, 10,...

25 30 35 40
Q16. Identify the type of sequence: 1, 1, 2, 3, 5, 8, ...

Arithmetic Geometric Fibonacci Quadratic
Q17. If x/a = y/b = z/c, then (x+y+z)/(a+b+c) is equal to:

x/a y/b z/c None of these
Q18. The angle between two perpendicular lines is:

0 degrees 90 degrees 180 degrees 45 degrees
Q19. If a/3 = b/4 = c/5, what is the value of (2a + 3b - c) / (a - b + 2c)?

1/3 2/5 3/4 4/7
Q20. Solve for k: 5k - (3k + 2) = 4k - 6

1 2 3 4

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