SSC CGL Tier l 2023 Question Paper Shift 3 (July 25th)

Instructions

For the following questions answer them individually

Question 51

The cube of the sum of two given numbers is 1728, while the product of the two given numbers is 32. Find the positive difference between the cubes of the two given numbers.

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Question 52

Simplify the following expression.
$$\frac{x^{2} - 2x - 63}{x^{2} + 14x + 49}$$

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Question 53

The value of $$\sqrt{\frac{1 + \cos \theta}{1 - \cos \theta}}$$ is:

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Question 54

The pie chart below shows the distribution of female employees working in a company in five different districts (A, B, C, D and E).

Total number of female employees in five districts = 136000


What is the total number of female employees working in a company in district C and district D?

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Question 55

The difference between a discount of 40% and two successive discounts of 30% on a certain bill was ₹220. Find the amount of the bill (in ₹).

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Question 56

If $$\left(y + \frac{1}{y} = 4\right)$$, find the value of $$\left(y^{6} + \frac{1}{y^{6}}\right)$$.

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Question 57

A is 50% more efficient then B. B worked to finish the same work in 20 days. If A and B worked together, then how much time will they take to finish the same work?

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Question 58

What is the area of the sector of a circle of radius 8 cm and formed by an arc of length 12 cm?

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Question 59

The cost price of an article is decreased by 10% and then increased by 20%. If the final price is ₹540, then the original cost price is:

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Question 60

The curved surface area of a solid circular cylinder of height 12 cm is 2640 $$cm^{2}$$. What is the volume (in $$cm^{3}$$) of the cylinder? (Take $$\pi=\frac{22}{7}$$)

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