SSC CGL Tier II 2nd March 2023 Shift 1

Instructions

For the following questions answer them individually

SSC CGL Tier II 2nd March 2023 Shift 1 - Question 11


What is the volume of the largest sphere that can be carved out of a wooden cube of sides 21 cm?
(Take $$ \pi = \frac{22}{7}$$)

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SSC CGL Tier II 2nd March 2023 Shift 1 - Question 12


Find the value of the given expression.

$$\sqrt{8 + \sqrt{1681}}$$

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SSC CGL Tier II 2nd March 2023 Shift 1 - Question 13


Find the value of given expression.
30 - [40 - {56 - (25 - 13 - 12)}]

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SSC CGL Tier II 2nd March 2023 Shift 1 - Question 14


The ratio of the incomes of two employees is 7 : 4, and the ratio of their expenditures is 3 : 1. If each of them manages to save ₹4,800 per month, find the sum of their monthly incomes (in ₹).

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SSC CGL Tier II 2nd March 2023 Shift 1 - Question 15


If radius of a sphere is decreased by 48%, then by what percent does its surface area decrease?

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SSC CGL Tier II 2nd March 2023 Shift 1 - Question 16


The product of the two numbers is 1500 and their HCF is 10. The number of such possible pairs is/are:

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SSC CGL Tier II 2nd March 2023 Shift 1 - Question 17


A man buys a machine for Rs.5,000. After one year, he sells it for Rs.6000. After two years, again he buys the same machine at Rs.8,000 and sells it for Rs.10,000. Find his overall profit percentage for both the transactions.

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SSC CGL Tier II 2nd March 2023 Shift 1 - Question 18


Evaluate the following.
$$\sin 25^{\circ} \sin 65^{\circ} - \cos 25^{\circ} \cos 65^{\circ}$$.

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SSC CGL Tier II 2nd March 2023 Shift 1 - Question 19


In $$\triangle PQR,PQ=QR$$ and O is an interior point of $$\triangle PQR$$ such that $$\angle OPR= \angle ORP$$.
Consider the following statements:
(i) $$\triangle POR$$ is an isosceles triangle.
(ii) O is the centroid of $$\triangle PQR$$.
(iii) $$\triangle PQO$$ is congruent to $$\triangle RQO$$.
Which of the above statements are correct?

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SSC CGL Tier II 2nd March 2023 Shift 1 - Question 20


A man can row 10 km/h in still water. When the river is running at a speed of 4.5 km/h, then it takes him 2 h to row to a place and comes back to the initial point . How far is the place (in km) (rounded off to two decimal places)?

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