SSC CGL 6th Dec 2022 Shift-3

Instructions

For the following questions answer them individually

Question 51

Calculate the area of a sector of a circle with radius 10 metres and angle of 90 degrees at the centre.

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Question 52

In the figure, O is the centre of the circle. Its two chords AB and CD intersect each other at the point P within the circle. If AB= 20 cm, PB= 12 cm and CP = 8 cm, then find the measure of PD .

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Question 53

A dealer buys an article listed at ₹3,000 and gets successive discounts of 15% and 15%. He spends ₹250 on transportation and sells it at a profit of 20%. Find the selling price of the article.

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Question 54

In a linear race of 1000 m, A beats B by 50 m or 5 seconds. What is the difference between the speeds (in m/s) of A and B?

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Question 55

The table given below shows the cost price and selling price of 5 different articles.


What is the ratio of cost price of A1 to the selling price of A4?

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Question 56

The selling price of 28 items is equal to the cost price of 17 items. What is the percentage of profit or loss?

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Question 57

If the price of petrol is increased by 28%, by what percentage should the consumption be decreased by the consumer, if the expenditure on petrol remains unchanged?
(Correct to 2 decimal places)

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Question 58

A sum of money amounts to ₹767 in 3 years, and to ₹806 in 4 years on simple interest at 6% annum. What is the sum?

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Question 59

Study the given pie-chart and answer the question that follows.

The pie-chart represents the spending of a state on various sports during a particular year.

How much percent more is spent on cricket than on tennis( correct up to 2 decimal places)?

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Question 60

Simplify the following.
$$\cot13^{\circ} \cot27^{\circ} \cot45^{\circ} \cot63^{\circ} \cot77^{\circ} =$$ ?

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