# SSC CHSL 22 March 2018 Evening Shift

Instructions

For the following questions answer them individually

Question 1

Find the square root of 1471369.

Question 2

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

Question 3

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

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.

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.

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.

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?

Question 8

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

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?

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?

OR