SSC CHSL 13th October 2020 Shift-2

Instructions

For the following questions answer them individually

Question 51

₹4,000 is given at 5% per annum for one year and interest is compounded half yearly. ₹2,000 is given at 40% per annum compounded quarterly for 1 year. The total interest received is nearest to:

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Question 52

If the number 59a44b is divisible by 36, then the maximum value of a + b is:

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Question 53

A person marks his 40 items at 20% of the cost price. He sells 10 items at a 10% discount and 20 items at a 15% discount on the marked price. What is the maximum discount (rounded off) he can offer on the remaining items if he still gets some profit?

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Question 54

A can finish a piece of work in a certain number of days. B takes 45% more number of days to finish the same work independently. They worked together for 58 days and then the remaining work was done by B alone in 29 days. In how many days could A have completed the work, had he worked alone?

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Question 55

If $$x^4 + \frac{1}{x^4} = \frac{257}{16}$$ then find $$\frac{8}{13}\left(x^3 + \frac{1}{x^3}\right)$$, where x > 0.

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Question 56

The following pie chart shows the ratio of the amount of imports by a company to the amount of exports from that company from 2013 to 2019.


If the imports in 2016 were ₹250 million and the total exports in the years 2016 and 2017 together were ₹500 million, then the imports in 2017 were:

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Question 57

If $$\sec A = \frac{\sqrt{11}}{3}$$, then the value of $$\frac{\cosec^2 A + \tan ^2 A}{\sin^2 A + \cot^2 A}$$ is:

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Question 58

If $$a + b = 8$$ and $$a + a^2b + b + ab^2 = 128$$ then the positive value of $$a^3 + b^3$$ is:

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Question 59

If in the following figure (not to scale), $$\angle DAB + \angle CBA = 90^\circ, BC = AD, AB = 20$$ cm, $$CD = 10$$ cm then the area of the quadrilateral ABCD is:

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Question 60

Evaluate $$45 - 5$$ of $$(63 \div 9) + 7 \times 5$$.

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