SSC CHSL 9th August 2021 Shift-1

Instructions

For the following questions answer them individually

Question 51

If $$71^{83} + 73^{83}$$ is divided by 36, the remainder is:

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Question 52

A shopkeeper marks his goods at a price such that after giving a discount of 20%, he gains 25%. If the costprice of the article is ₹560, what will be its marked price (in ₹)?

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Question 53

If $$\frac{\cot \theta + \cos \theta}{\cot \theta - \cos \theta} = \frac{k + 1}{1 - k}, k \neq 1$$, then k is equal to:

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Question 54

Study the given bar graph and answer the question that follows.

What is the ratio of the boys taken together in colleges A, B and C to the girls taken together in all 5 colleges?

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Question 55

40 persons take 6 days to complete a certain task, working 10 hours a day. How manyhours a day will be sufficient for 30 persons to complete the same task in 10 days?

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Question 56

If $$\sqrt{13} \sin \theta = 2$$, then the value of $$\frac{3 \tan \theta + \sqrt{13} \sin \theta}{\sqrt{13} \cos \theta - 3 \tan \theta}$$ is:

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Question 57

If $$\cos^2 \theta - \sin^2 \theta - 3 \cos \theta + 2 = 0, 0^\circ < \theta < 90^\circ$$, then what will be the value of $$\sec \theta - \cos \theta$$?

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Question 58

If $$x + 2y = 19$$ and $$x^3 + 8y^3 = 361$$, then xy is equal to:

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Question 59

The perimeter of a right-angled triangle whose sides that make right angles are 15 cm and 20 cm is:

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Question 60

The compound interest on a certain sum of money for 3 years, compounded annually, at a rate of interest of 10% per annum is ₹1,324. The sum is:

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