Day 50: SSC CGL Tier II Quant

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

Question 1
Percentage, Profit and Loss. Asked once: 29 Jan 2022 Tier II (same type asked 2 times) See all 2 of this type
67 $An article was sold for ₹716 after offering a discount of 10.5%. If a discount of 6.5% is given, then for how much (in ₹) should it be sold?$
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Question 2
Ratio, Proportion and Variation. Asked once: 29 Jan 2022 Tier II (same type asked 2 times) See all 2 of this type
29 $-$
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Question 3
Time, Speed and Distance. Asked once: 15 Nov 2020 Tier II (same type asked 2 times) See all 2 of this type
57 $A train of length 287 m, running at 80 km/h, crosses another train moving in the opposite direction at 37 km/h in 18 seconds. What is the length of the other train?$
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Question 4
Trigonometric Ratios and Identities. Asked once: 8 Aug 2022 Tier II (same type asked 2 times) See all 2 of this type
40 $3\sin^2 30^\circ + \frac{3}{5}\cos^2 60^\circ - 2\sec^2 45^\circ$
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Question 5
Trigonometric Ratios and Identities. Asked once: 3 Feb 2022 Tier II (same type asked 2 times) See all 2 of this type
64 $\frac{\cos^4\theta - \sin^4\theta + 2\sin^2\theta + 3}{(\operatorname{cosec}\theta + \cot\theta + 1)(\operatorname{cosec}\theta - \cot\theta + 1) - 2}$
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Question 1