SSC CHSL 27th May 2022 Shift-2

Instructions

For the following questions answer them individually

Question 51

In an election, there were three candidates: A, B and C. 10% of the eligible voters did not vote. Out of those who voted, 45% voted for A, 35% voted for B and the remaining 20% voted for C. 30% of the votes polled for A and 20% of the votes polled for B were later deemed invalid, while all the votes polled for C were deemed valid. If A got 882 more valid votes than B did, how many valid votes did C receive?

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Question 52

If $$\cos 2A = \sin 75^{\circ}$$ then the smallest positive value of A is:

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Question 53

The frustum of a right circular cone has the radius of the base as 5 cm, radius of the top as 3 cm, and height as 6 cm. What is its volume?

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Question 54

Find the total surface area of a closed hemisphere whose radius is 3.5 cm. (Use $$\pi =\frac{22}{7}$$)

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Question 55

The table below gives the numbers (in thousand) of different types of geysers sold by a company in six consecutive years.

What is the difference in the number of type B geysers sold in 2010 and 2012?

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Question 56

A thief is noticed by a policeman from a distance of 650 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 8 km and 10.5 km per hour, respectively. The distance (in metres) between them after 12 minutes is:

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Question 57

The price of a cell phone is ₹20,000. On Sundays, the shopkeeper offers a cash discount of ₹1,000 on the purchase of the cell phone. Further, if someone purchases it through a credit card, he gives 5% additional discount. If someone is purchasing the cell phone on a Sunday through a credit card, then how much does he/she have to pay?

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Question 58

The price of a tablet is first increased by 10%, and then decreased by 2.5% due to reduction in sales. What is the net percentage change in the final price of the tablet?

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Question 59

Which of the following can be a rationalising factor of $$\left(\sqrt{2}+\sqrt{3}+\sqrt{5}\right)$$?

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Question 60

What is the fourth proportional to 16, 24, 8?

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