SSC CGL 24th August 2021 Shift-2

Instructions

For the following questions answer them individually

Question 61

The value of $$\frac{\sec^2 60^\circ \cos^2 45^\circ + \cosec^2 30^\circ}{\cot 30^\circ \sec^2 45^\circ - \cosec^2 30^\circ \tan 45^\circ}$$ is:

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Question 62

Simplify the following expression.
$$\frac{5(a^6 - b^6)^3 + 5(b^6 - c^6)^3 + 5(c^6 - a^6)^3}{2(a^3 - b^3)^3 + 2(b^3 - c^3)^3 + 2(c^3 - a^3)^3}$$

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Question 63

Atul borrowed a sum of ₹12000 and agreed to repay it by paying ₹4800 at the end of first year and ₹9240 at the end of second year. Whatis the rate of compound interest compounded annually?

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Question 64

What is the product of the average of first ten positive odd numbers and the average of first fifteen positive even numbers?

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Question 65

Bar graph shows the number of males and females in five organizations A, B, C, D and E.

What is the ratio of number of males working in organizations C, D and E taken together to that of females working in organizations A, B and C taken together?

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Question 66

A shop keeper sold an article at four-fifth of the marked price and suffered a loss of $$3 \frac{1}{3}\%$$. Find the profit percent, if he sold the article at the marked price. (correct to nearest integer)

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Question 67

Points A, B and C are on circle with centre O such that $$\angle$$BOC = 84$$^\circ$$. If AC is produced to a point D such that $$\angle$$BDC = 40$$^\circ$$, then find the measure of $$\angle$$ABD (in degrees).

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Question 68

A man walking at a speed of 3 km/h crosses a square field diagonally in 5 minutes. What is the area of the field (in m$$^2$$)?

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Question 69

If $$y = 2x + 1$$, then what is the value of $$(8x^3 - y^3 + 6xy)$$?

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Question 70

The pie graph shows the distribution of employees working in five departments A, B, C, D and E of a company.
Total number of employees = 9000

If the number of employees working in department A is x and the total number of employees working in departments C and E is y, then the value of y - 2x is:

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