SSC CGL 4th March 2020 Shift-2

Instructions

For the following questions answer them individually

Question 61

The difference in compound interest on a certain sum at 10% p.a. for one year, when the interest is compounded half yearly and yearly, is ₹88.80. What is the simple interest on the same sum for $$1\frac{2}{3}$$ years at the same rate?

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Question 62

The expression $$3 \sec^2 \theta \tan^2 \theta + \tan^6 \theta - \sec^6 \theta$$ is equal to:

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Question 63

One-third of goods are sold at a 15% profit. 25% of the goods are sold at a 20% profit and the rest at a 20% loss. If the total profit of ₹138.50 is earned on the whole transaction, then the value(in ₹) of the goods is:

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Question 64

The given table represents the revenue (in ₹ crores) of a company from the sale of four products A. B. C and D in 6 years. Study the table carefully and answer the question that follows.

What is the ratio of the total revenue of the company in 2014 from the sale ofall the four products to the total revenue from the sale of product C in 2014 to 2017?

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Question 65

If the 6-digit numbers $$x35624$$ and $$1257y4$$ are divisible by 11 and 12, respectively, then what is the value of (5x - 2y ) ?

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Question 66

If a + b + c = 7 and ab + bc + ca = -6, then the value of $$a^3 + b^3 + c^3 - 3abc$$ is:

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Question 67

The given table represents the revenue (in ₹ crores) of a company from the sale of four products A, B, C and D in 6 years. Study the table carefully and answer the question that follows.

By what percentage is the total revenue of the company from the sale of products A, B and D in 2012 and 2013 more than the total revenue from the sale of product B in 2013 to 2016?(Correct to one decimal place)

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Question 68

A and B, working together, can complete a work in d days. Working alone, A takes (8 + d) days and B takes (18 + d) days to complete the same work. A works for 4 days. The remaining work will be completed by B alone, in:

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Question 69

Two chords AB and CD of a circle are produced to intersect each other at a point P outside the circle. If AB = 7 cm, BP = 4.2 cm and PD = 2.8 cm, then the length of CD is:

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Question 70

The value of $$\frac{\tan^2 \theta - \sin^2 \theta}{2 + \tan^2 \theta + \cot^2 \theta}$$ is:

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