SSC CHSL 19th October 2020 Shift-2

Instructions

For the following questions answer them individually

Question 51

A, B, C are three points so that AB = 4 cm, BC = 6 cm and AC = 10 cm. The number of circles passing through the points A, B, C is:

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Question 52

The centroid of an equilateral $$\triangle$$XYZ is L. If XY = 12 cm, then the length of XL (in cm), is:

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Question 53

Given bar graph shows, total expenditure and the gross receipts of a company (in ₹ crores). Study the graph and answer the question that follows

If profit = gross receipts — total expenditure, then in 1997-98, what percentage of gross receipts is the profit made?
(Correct to one decimal place)

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Question 54

Given bar graph shows, total expenditure and the gross receipts of a company(in ₹ crores). Study the graph and answer the question that follows.

What is the percentage increase in the gross receipts in 1996-97 as compared to 1994-95?

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Question 55

If $$29^{41} + 37^{41}$$ is divided by 33, then the reminder is:

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Question 56

Marked price of an article is 20% more than it’s cost price. At what percent less should it be sold for no profit and no loss ?

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Question 57

The sum of the squares of the sides of a rhombus is 900 m$$^2$$. What is the side of the rhombus.

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Question 58

If $$1 + 9r^2 + 81r^4 = 256$$ and $$1 + 3r + 9r^2 = 32$$, then find the value of $$1 - 3r + 9r^2$$.

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Question 59

If $$0 < \theta < 90^\circ$$, $$3b\operatorname{cosec}\theta=a\sec\theta$$ and $$3a\sec\theta-b\operatorname{cosec}\theta=8$$, then the value of $$9b^2 + a^2$$ is:

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Question 60

Find the value of $$309 \div \left[\left(\frac{3}{2}\right) \text{of} \left(25 + 35\right) - 12 \frac{3}{4}\right]$$

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