Mock Test

Exam: SSC CGL Subject: Quantitative Aptitude

Total Questions: 20

Q1. If a number is multiplied by 3/5, it is equivalent to decreasing the number by what percentage?

40% 60% 20% 80%
Q2. Consider the variety V(xy - yx) in A^2 over a commutative ring R. What is V(xy - yx)?

The entire A^2 The union of the x and y axes The origin The empty set
Q3. If the ratio of two numbers is 2:3 and their sum is 20, what is the larger number?

8 10 12 6
Q4. If the marked price of a bag is Rs. 800 and a discount of 20% is given, what is the selling price?

Rs. 600 Rs. 640 Rs. 700 Rs. 780
Q5. If 40% of a number is 160, then what is 60% of that number?

180 200 240 320
Q6. When $p(x) = x^3 - 3x^2 + kx + 1$ is divided by $x+1$, the remainder is $5$. Find the value of $k$.

$9$ $8$ $7$ $6$
Q7. A seller sells his goods at a profit of 25%. If he had purchased them at 20% less and sold them for Rs. 37.50 less, he would have gained 30%. The cost price of the goods is:

Rs. 200 Rs. 250 Rs. 300 Rs. 350
Q8. The current age of A is 1.5 times the current age of B. If 5 years ago, the age of A was 2.5 times the age of B, what is the current age of A?

30 years 35 years 40 years 45 years
Q9. The mean of 5 observations is 12. If one observation is added, the new mean becomes 14. What is the added observation?

14 22 24 30
Q10. By selling 100 pencils, a stationer gains the selling price of 20 pencils. The profit percentage is:

20% 25% 15% 30%
Q11. In a test, a student scores 40% marks and fails by 20 marks. Another student scores 60% marks and gets 30 marks more than the passing marks. What are the maximum marks?

250 300 350 400
Q12. A dealer buys a table for Rs. 500 and sells it at a loss of 15%. What is the selling price?

Rs. 425 Rs. 415 Rs. 400 Rs. 435
Q13. If $y = \tan^{-1}(x) + \tan^{-1}(\frac{1}{x})$, then $\frac{dy}{dx}$ is:

$0$ $1$ $\frac{1}{1+x^2}$ $-\frac{1}{1+x^2}$
Q14. In a geometric progression, the sum of the first 3 terms is 21 and the sum of the first 6 terms is 189. What is the common ratio?

2 3 4 1/2
Q15. Let A = [[1, 2, 3], [4, 5, 6]] and B = [[7, 8], [9, 10], [11, 12]]. What is AB?

[[58, 64], [139, 154]] [[7, 16, 33], [28, 45, 72]] [[58, 64], [70, 80]] [[58, 64]]
Q16. A triangle in Hyperbolic geometry will have:

All angles obtuse All angles acute One right angle and two acute angles An area proportional to the defect
Q17. Which term describes a line segment passing through the center of a circle with both endpoints on the circumference?

Radius Chord Tangent Diameter
Q18. What is the sum of two odd numbers?

The first odd number is 3. The second odd number is 5. The sum is 8. The sum of two odd numbers is always even.
Q19. A, B, and C can complete a piece of work in 6 days, 10 days, and 15 days respectively. In how many days can A, B, and C together complete the work?

3 days 4 days 5 days 2 days
Q20. A reduction of 20% in the price of apples enables a person to buy 10 more apples for Rs. 100. The original price of one apple is:

Rs. 1 Rs. 1.25 Rs. 1.50 Rs. 2

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