Mock Test

Exam: SSC CGL Subject: Quantitative Aptitude

Total Questions: 20

Q1. If $\sin^{-1} a + \sin^{-1} b + \sin^{-1} c = \pi$, then:

$a+b+c = abc$ $a+b+c = 2abc$ $a+b+c = 1$ $a+b+c = 2$
Q2. Simplify 3⁵.

15 30 243 729
Q3. What is the value of cos(90°)?

0 1/2 1 √3/2
Q4. What is the integral of sec^2(x) dx?

tan(x) + C -tan(x) + C cot(x) + C -cot(x) + C
Q5. A person buys a table for Rs. 2000 and sells it for Rs. 1800. What is his loss percentage?

8% 10% 12% 15%
Q6. A fan is sold for Rs. 1200 after a 25% discount. What was its original price?

Rs. 1500 Rs. 1600 Rs. 1550 Rs. 1400
Q7. If the selling price of an article is reduced by 20%, the loss becomes 10%. What is the original profit percentage?

10% 12.5% 15% 20%
Q8. What is the value of y if 2x + y = 5 and x - y = 1?

2 3 4 1
Q9. A card is drawn from a pack of 52 cards. The probability of getting a king or a queen is:

1/13 2/13 1/26 3/26
Q10. The cost price of 10 articles is equal to the selling price of 8 articles. What is the profit percentage?

20% 25% 30% 35%
Q11. If a watch is sold for Rs. 2000 at a loss of 20%, what is its cost price?

Rs. 2500 Rs. 2400 Rs. 2200 Rs. 2000
Q12. If cos(θ) = 12/13, what is sin(90° - θ)?

12/13 5/13 13/12 13/5
Q13. A and B can complete a work in 12 days and 16 days respectively. They start working together. After 4 days, A leaves and B is replaced by C. C completes the remaining work in 8 days. In how many days can C alone complete the work?

12 days 15 days 18 days 20 days
Q14. Which of the following numbers is divisible by 11? (2468)

2469 2468 2467 2466
Q15. A merchant buys goods at Rs. X per dozen and sells them at Rs. Y per piece. If the cost price of a dozen is Rs. 120 and the selling price of 10 pieces is Rs. 150, what is the profit percentage?

25% 20% 50% 40%
Q16. In the context of 'bag of words' for text mining, what does it represent?

The order of words in a document The frequency of words in a document, ignoring order The sentiment of words The semantic meaning of words
Q17. The angle of depression of a boat from the top of a lighthouse 75 meters high is 30 degrees. How far is the boat from the lighthouse?

75√3 meters 150 meters 75 meters 75/3 meters
Q18. A man buys a mobile for ₹8000 and sells it at a loss of ₹1000. What is the selling price?

₹6000 ₹6500 ₹7000 ₹7500
Q19. What fraction is equivalent to 40%?

1/5 2/5 1/2 3/5
Q20. The symbol '≠' means:

Greater than or equal to Less than or equal to Equal to Not equal to

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