SSC CHSL 22 March 2018 Evening Shift

Instructions

For the following questions answer them individually

Question 1

Find the square root of 1471369.

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Question 2

Calculate the total numbers of prime factors in the expression $$(9)^{11} \times (5)^7 \times (7)^5 \times (3)^2 \times (17)^2$$

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Question 3

Find the y-intercept of the line joining two points (1, 3) and (3, 5).

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Question 4

The two equations are 4x + 4ky-6=0 and x+6y-12=0. Find the value of k for the pair of two linear equations represents the parallel lines.

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Question 5

The two circles with radii 6 cm and 3 cm centered at the point P and Q respectively. A transverse common tangent AC to the both circles cuts line joining P and Q at the point B such that AB = 8 cm. Calculate the length (in cm) of PQ.

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Question 6

The circle of radius 4 cm and centre O has a tangent PR. If $$\angle POR=90^\circ$$ and OR = 7 cm and OP = 24 cm. Calculate the length (in cm) of PR.

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Question 7

In an election between two candidates, the winning candidate got 70% of the valid votes and won by a majority of 9000 votes. If out of total votes polled 90% votes are valid, then what is the total number of votes polled?

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Question 8

If $$(\frac{3}{2})X=(\frac{5}{7})Y=(\frac{6}{5})Z$$, then what is X:Y:Z ?

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Question 9

7 litres mixture of milk and water contains 30% water. 3.5 litres of milk is added to this mixture. What is the percentage of water in the new mixture?

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Question 10

If the average of 31, x, 42, 39, 56, 78, 83 and 91 is 58.5, then what is the value of x?

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