SSC CGL 4th March 2020 Shift-2

Instructions

For the following questions answer them individually

Question 51

The time taken by a boat to travel 13 km downstream is the same as time taken by it to travel 7 km upstream. If the speed of the stream is 3 km/h, then how much time (in hours) will it take to travel a distance of 44.8 km in still water?

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Question 52

The given table represents the revenue (in ₹ crores) of a company from the sale of four products A. B. C and D in 6 years. Study the table carefully and answer the question that follows.


The number of years in which the revenue of the company from the sale of product D is more than the average revenue from the sale of product A over six years, is:

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Question 53

In $$\triangle PQR, \angle Q = 85^\circ$$ and $$\angle R = 65^\circ$$. Points S and T are on the sides PQ and PR, respectively such that $$\angle STR = 95^\circ$$, and the ratio of the QR and ST is 9 : 5. If PQ = 21.6 cm, then the length of PT is:

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Question 54

If $$30x^2 - 15x + 1 = 0$$, then what is the value of $$25x^2 + (36x^2)^{-1}$$?

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Question 55

The income of A is 60% less than that of B, and the expenditure of A is equal to 60%of B’s expenditure. If A’s income is equal to 70% of B’s expenditure, then whatis the ratio of the savings of A and B?

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Question 56

The value of $$\frac{5\frac{1}{2} \div 3\frac{2}{3} of \frac{1}{4} + \left(5\frac{1}{9} - 7\frac{7}{8} \div 9\frac{9}{20}\right) \times \frac{9}{11}}{5 \div 5 of \frac{1}{10} - 10 \times 10 \div 20}$$ is:

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Question 57

A cylindrical vessel of radius 30 cm and height 42 cm is full of water. Its contents are emptied into a rectangular tub of length 75 cm and breadth 44 cm. The height (in cm) to which the water rises in the tub is: (Take $$\pi = \frac{22}{7}$$)

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Question 58

The given table represents the revenue (in ₹ crores) of a company from the sale of four products A. B. C and D in 6 years. Study the table carefully and answer the question that follows.

The total revenue of the company from the sale of products B, C and D in 2014 is what percentage of the total revenue from the sale of products C and D in 6 years?

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Question 59

If $$7 \sin^2 \theta - \cos^2 \theta + 2 \sin \theta = 2, 0^\circ < \theta < 90^\circ$$, then the value of $$\frac{\sec 2\theta + \cot 2\theta}{\cosec 2\theta + \tan 2\theta}$$ is:

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Question 60

The ratio of boys and girls in a groupis 7 : 6. If 4 more boys join the group and 3 girls leave the group, then the ratio of boys to girls becomes 4 : 3. Whatis the total number of boys and girls initially in the group?

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