SSC CGL Tier l 2023 Question Paper Shift 1 (July 25th)

Instructions

For the following questions answer them individually

Question 51

The simple interest on a certain sum at the rate of 12.5% per annum for 6 years is ₹13,500 less than the principal. Find the simple interest.

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Question 52

Using $$\cosec \left(\alpha + \beta \right) = \frac{\sec \alpha \times \sec \beta \times \cosec \alpha \times \cosec \beta}{\sec \alpha \times \cosec \beta + \cosec \alpha \times \sec \beta}$$, find the value of $$\cosec 75^{\circ}$$.

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Question 53

Ram has an average score of 65 runs in 19 innings in cricket matches. Find out how many runs are to be scored by him in the $$20^{th}$$ innings to raise the average score to 67.

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Question 54

A metallic cube has each of its side of length 12 cm. It is melted and recast into three small cubes. Out of these cubes, two have their sides as 6 cm and 8 cm, respectively. The length of each side of the third cube is:

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Question 55

A policeman starts chasing a thief when he was already 600 m ahead. If the policeman is running at a speed of 9 km/h and the thief at 8 km/h, then the thief would be caught at a distance of:

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Question 56

A shopkeeper bought certain number of apples for Rs.3,600. He sold one-fifth of them at a loss of 10%, one-fourth of the remaining apples at a loss of 5%, and two-third of the rest at a profit of 15%. At what price (in Rs.) should he sell the remaining apples to earn a profit of 27% overall?

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Question 57

4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 25 women complete it?

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Question 58

Tue following bar graph shows the sales of books (in thousands) from six branches of a publishing company during two consecutive years 2018 and 2019.


Total sales of $$6^{th}$$ branch for both years is what percentage of the total sales of $$3^{rd}$$ branch

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Question 59

Find the remainder when $$8^{8} + 6$$ is divided by 7.

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Question 60

What value of 'y' will satisfy the following equation?

$$\frac{3y}{1+\frac{1}{1+\frac{y}{1-y}}} = 2$$

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