SSC CGL 20th April 2022 Shift-2

Instructions

For the following questions answer them individually

Question 51

If $$\tan B = \frac{5}{3}$$, what is the value of $$\frac{\cosec B + \sin B}{\cos B - \sec B}$$?

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Question 52

If $$\sqrt{x}-\frac{1}{\sqrt{x}}=\sqrt{5}, x \neq 0$$, then what is the value of $$\frac{x^{4}+\frac{1}{x^{2}}}{x^{2}+1}$$

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Question 53

If the num ber 48 k 2048 p 6 is divisible by 99, then (k $$\times$$ p) is equal to:

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Question 54

The simple interest on a sum of money at 10% per annum for 4 years is ₹3,200. What will be the amount (in ₹) of the same sum for the same period at the same rate of inerest when the interest is compounded annually?

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Question 55

A shopkeeper offers a discount of 18% on a machine and sells it for ₹48,380. If he does not offer the discount, he will get a profit of 18%. What is the cost price (in ₹) of the machine?

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Question 56

In triangle ABC, X and Y are the points on sides AB and AC, respectively, such that XY is parallel to BC. If XY : BC =  2.5 : 7. what is the ratio of the area of the trapezium BCYX to that of the $$\triangle$$ AXY?

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Question 57

A, B and C divide an amount of ₹10,500 amongst themselves in the ratio 5 : 7 : 9. respectively. If each one gets ₹500 more, then what will be the ratio of the amounts will A, B and C?

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Question 58

The value of
$$25\div10-\left(\frac{7}{4}\times\frac{1}{3}\right) of \frac{6}{5} + \frac{14}{3}\times\frac{9}{10} + \left(\frac{1}{5}\div\frac{1}{25}\right)$$ is:

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Question 59

A and B are two points on the same side of a ground, 50 metres apart. The angles of elevation of these points to the top of a tree are $$60^{\circ}$$ and $$30^{\circ}$$ respectively. What is 40% of the height of the tree (in m)?

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Question 60

Study the given pie chart and answer the question that follows.
The pie chart shows the breakup of the total number of employees of a company working in different offices (A to E),in degrees. The total number of employees = 3600.

If the percentage of male employees in office C is 20% and that of female employees in office D is 40%, then what is the ratio of the number of female employees in office D to that of female employees in office C?

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