Quantitative Aptitude Mock Test | SSC CGL

Q1. Two trains, P and Q, start simultaneously from two stations X and Y towards each other. The speed of train P is 50 kmph and the speed of train Q is 70 kmph. The distance between stations X and Y is 480 km. If train P starts 2 hours earlier than train Q, at what distance from station X will they meet?

150 km 180 km 200 km 220 km

Q2. If the cost price of 5 pens is equal to the selling price of 4 pens, the profit percentage is:

15% 20% 25% 30%

Q3. A sum of money triples itself in 6 years at simple interest. In how many years will it become 9 times itself?

18 years 24 years 27 years 30 years

Q4. A transformation that skews the shape of an object is called:

Rotation Translation Scaling Shearing

Q5. A driver travels the first half of a distance at 60 km/hr and the second half at 40 km/hr. What is his average speed for the entire journey?

48 km/hr 50 km/hr 45 km/hr 52 km/hr

Q6. A man spends 70% of his income. If his income increases by 20%, by what percentage should his expenditure be increased so that he saves the same amount as before?

28.57% 30% 33.33% 40%

Q7. Convert 0.15 to a percentage.

1.5% 15% 0.15% 150%

Q8. A dealer buys a product for ₹4000. He marks the price 20% above the cost price. He allows two successive discounts of 10% and 15% on the marked price. What is his profit percentage?

1.4% 2.6% 3.8% 5.0%

Q9. Which of the following numbers is even?

13 25 32 17

Q10. Consider the sequence of Fibonacci numbers F(n) where F(1)=1, F(2)=1. What is GCD(F(m), F(n))?

F(GCD(m,n)) GCD(m,n) 1 F(m) or F(n)

Q11. If 2/3 of a number is 10 more than 1/4 of the same number, what is the number?

24 36 48 60

Q12. What is the sum of the first 3 terms of the GP 2, 6, 18, ...?

20 24 26 30

Q13. What is the value of $\sin^2 \theta + \cos^2 \theta$?

$\sin \theta$ $\cos \theta$ $1$ $0$

Q14. A merchant buys goods for ₹300 and sells them for ₹360. What is the profit percentage?

15% 20% 25% 30%

Q15. A merchant buys 50 kg of sugar for Rs. 10 per kg. He sells it at Rs. 12 per kg. What is his total profit?

Rs. 100 Rs. 200 Rs. 300 Rs. 400

Q16. The cost of a machine is Rs. 50,000. If its value depreciates by 10% per annum, what will be its value after 2 years?

Rs. 38000 Rs. 39500 Rs. 40500 Rs. 45000

Q17. If $3x+2y = 16$ and $2x+3y = 19$, find the value of $x+y$.

7 8 9 10

Q18. A system of linear equations represented by Ax = b is said to be homogeneous if:

A is a square matrix b is a null vector A has a unique solution A is singular

Q19. The angle of elevation of the sun is 60 degrees. A man of height 2m is standing on the ground. The length of the shadow of the man is:

2 m √3 m 2/√3 m 2√3 m

Q20. A man sells an article for ₹800 and makes a profit of 25%. What is the cost price?

₹600 ₹620 ₹640 ₹650

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