Day 96: SSC CGL Tier II Quant

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

Question 1
Surds, Indices and Simplification. Asked once: 8 Aug 2022 Tier II
13 $\frac{\sqrt{7} + \sqrt{5}}{\sqrt{7} - \sqrt{5}} \div \frac{\sqrt{14} + \sqrt{10}}{\sqrt{14} - \sqrt{10}} + \frac{\sqrt{10}}{\sqrt{5}}$
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Question 2
Time and Work. Asked once: 8 Aug 2022 Tier II
64 $A alone can do a work in 14 days. B alone can do the same work in 28 days. C alone can do the same work in 56 days. They start the work together and completed the work such that B was not working on last 2 days and A did not work in last 3 days. In how many days (total) was the work completed?$
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Question 3
Time, Speed and Distance. Asked once: 29 Jan 2022 Tier II
21 $A covered a distance of 240 km at a certain speed. Had his speed been 8 km/h less, then the time taken would have been one hour more for covering the same distance. How much time (in hours) will he take to cover a distance of 480 km at his original speed?$
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Question 4
Triangles. Asked once: 7 Mar 2023 Tier II
21 $\Delta ABC \cong \Delta PQR$
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Question 5
Trigonometric Ratios and Identities. Asked once: 6 Mar 2023 Tier II
11 $\triangle$
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Question 1