SSC CGL 23rd August 2021 Shift-3

Instructions

For the following questions answer them individually

Question 61

The perimeter of a circular lawn is 1232 m. There is 7 m wide path around the lawn. The area (in m$$^2$$) of the path is:(Take $$\pi = \frac{22}{7}$$)

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Question 62

Triangles ABC and DBCareright angled triangles with common hypotenuse BC. BD and ACintersect at P when produced. If PA= 8 cm, PC = 4 cm and PD = 3.2 cm, then the length of BD,in cm, is:

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Question 63

Find the value of $$\operatorname{cosec}(60^{\circ}+A)-\sec(30^{\circ}-A)+\frac{\operatorname{cosec}49^{\circ}}{\sec41^{\circ}}$$.

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Question 64

The value of $$54\div16  \text{of} 3\times[12\div4  \text{of} \left\{6\times3\div(11-2)\right\}]\div(12\div8\times2)$$ is:

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Instructions

Study the following table and answer the question:
Number of students enrolled for Vocational Courses (VC) in five institutes - A, B, C, D & E.

Question 65

What is the sum of the average number of students enrolled for VC in institute B in 2014, 2015 and 2017 and the average number of students enrolled in institute E in 2013 and 2018?

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Question 66

The total number of students enrolled for VC in institutes A, B and D in 2015 is what percent more than the total number of students enrolled in institutes C and E in 2018? (correct to one decimal point)

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Instructions

For the following questions answer them individually

Question 67

A train running at 48 km/h crosses a man going with the speed of 12 km/h, in the same direction, in 18 seconds and passes a woman coming from the opposite direction in 12 seconds. The speed (in km/h) of the woman is :

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Question 68

ABCD is cyclic quadrilateral in which $$\angle$$A = x$$^\circ$$, $$\angle$$B = 5y$$^\circ$$, $$\angle$$C = 2x$$^\circ$$ and $$\angle$$D = y$$^\circ$$. What is the value of (3x - y)?

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Question 69

To do a certain work, the ratio of efficiencies of X andYis 5 : 7. Working together, X and Y can complete the same work in 70 days. X alonestarted the work andleft after 42 days. Y alone will complete the remaining work in:

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Question 70

If $$x + y + z = 2, x^3 + y^3 + z^3 - 3xyz = 74$$, then $$(x^2 + y^2 + z^2)$$ is equal to:

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