Day 42: SSC CGL Quant

5 questions. Try each one first, then open its answer.

Question 1
Algebraic Identities and Simplification. Asked 4 times: 14 Jul 2023 S3*, 24 Jul 2023 S2*, 25 Jul 2023 S3*, 19 Sep 2024 S1 (* = numbers or wording changed that year) See all 4 times it was asked
74 $\left(a + \frac{1}{a}\right) = 7\sqrt{3}$
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Question 2
Time, Speed and Distance. Asked 4 times: 17 Jul 2023 S1*, 20 Jul 2023 S3*, 24 Jul 2023 S1*, 11 Sep 2024 S2 (* = numbers or wording changed that year) See all 4 times it was asked
51 $A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km/h and 11 km/h, respectively. What is the distance (in metres) between them after 9 minutes?$
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Question 3
Time and Work. Asked 4 times: 17 Jul 2023 S3*, 20 Jul 2023 S2*, 26 Jul 2023 S3*, 27 Jul 2023 S3 (* = numbers or wording changed that year) See all 4 times it was asked
69 $A can finish a job in 8 hours and B can finish the same job in 12 hours independently. If they work simultaneously, in how many hours can they do the same job?$
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Question 4
Time and Work. Asked 4 times: 17 Jul 2023 S3*, 17 Jul 2023 S4*, 18 Jul 2023 S1*, 27 Jul 2023 S3 (* = numbers or wording changed that year) See all 4 times it was asked
59 $Sara can finish a work in 18 days and Tara can complete the same work in 15 days. Tara worked for 10 days and left the job. In how many days can Sara finish the remaining work alone?$
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Question 5
Algebraic Identities and Simplification. This type asked 4 times: 17 Jul 2023 S1, 25 Sep 2024 S2, 14 Sep 2025 S3, 26 Sep 2025 S3. This one: 26 Sep 2025 S3 See all 4 of this type
70 $x = \sqrt{3}$
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Question 1

Question 2

Question 3

Question 4

Question 5