SSC CGL 6th Dec 2022 Shift-2

Instructions

For the following questions answer them individually

Question 61

If $$\frac{a}{b}+\frac{b}{a} = 1$$ and a + b = 2 , then the value of $$a^{3} + b^{3}$$ is:

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Question 62

If 3 coconuts are offered free on purchase of 12 coconuts, priced ₹25 each, what is the effective discount on each coconut?

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Question 63

The population of country A decreased by p% and the population of country B decreased by q% from the year 2020 to 2021. Here 'p' is greater than ‘q’. Let 'x' be the ratio of the population of country A to the population of country B in the given year.
What is the percentage decrease in 'x' from 2020 to 2021?

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Question 64

A chord of length 40 cm is drawn in a circle having diameter 50 cm. What is the minimum distance of other parallel chord of length 30 cm in the same circle from 40 cm long chord?

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Question 65

If $$4x^{2} + y^{2} = 40$$ and $$xy = 6$$, find the positive value of $$2x + y$$.

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Question 66

Piyush sold a guitar to Anuj at 16% gain and Anuj sold it to Mayank at 32% gain. If Mayank paid Rs.3,828 for the guitar, what amount did Piyush pay for the same?

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Question 67

Tile external diameter of an iron pipe is 20 cm audits length is 12 cm. If the thickness of the pipe is 1 cm. find the surface area of the pipe (take $$\pi = \frac{22}{7}$$) correct to two places of decimal.

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Question 68

A group of men decided to do a job in 6 days, but 18 men dropped out every day. If the job was completed in 8 days, then how many men initially decided to do the job.

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Question 69

What is the value of $$\frac{\cos37^{\circ}}{\sin53^{\circ}}$$?

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Question 70

What is the value of $$\cos \left(-\frac{17\pi}{3}\right)$$

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