SSC CHSL 26th May 2022 Shift-3

Instructions

For the following questions answer them individually

Question 51

Simplify the following expression.
$$9\frac{1}{5}\div\left\{\left(16\frac{1}{5}\div\overline{12\frac{2}{3}-9\frac{2}{3}}\right)+17\frac{1}{2} of 3\frac{1}{21}\right\}$$

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Question 52

If the diameter of a solid hemisphere is 14 cm, then what will be its total surface area? ($$\pi=\frac{22}{7}$$)

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Question 53

A and B working separately can do a piece of work in 21 and 24 days, respectively. If they work for a day alternately with A beginning the work, it would be completed in _________.

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Question 54

The third proportional to 81 and 27 is:

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Question 55

The marked price of a study table is ₹3,200. It will be offered for ₹2,448 after two successive discounts. If the first discount is 10%, the second discount is:

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Question 56

If the 3-digit number 2x3 is divisible by 3, then the value of $$x^{2}+ x$$ is (consider the maximum value of x):

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Question 57

A given bar chart shows the heights of seven hills. Study the graph and answer the question that follows.

Which hill is the third highest?

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Question 58

In an election between two candidates, 10% of the voters did not cast their vote and 5% of the votes polled were found invalid. The successful candidate got 55% of the valid votes and won by a majority of 1710 votes. How many voters were enrolled?

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Question 59

15 identical solid spherical balls of radius 5 cm are melted to form a single sphere. In this process, 35% of the mass is wasted. What is the radius (in cm) of the single sphere that is now formed? [Use $$\pi = \frac{22}{7}$$, and give your answer correct to two decimal places.]

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Question 60

If $$\left(X+\frac{1}{x}\right)=\frac{11}{5}$$, what is the value of $$\left(X^{3}+\frac{1}{x^{3}}\right)?$$

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