# SSC CHSL 17 March 2018 Afternoon Shift

Instructions

For the following questions answer them individually

Question 1

Find the value of $${(216)^{\frac{2}{3}}+(36)^-{\frac{1}{2}}}$$

Question 2

Find the number of prime factor of 20790.

Question 3

If $$p=\sqrt{72-\sqrt{72-\sqrt{72-\sqrt{72-......\infty}}}}$$, then find the value of $$2p^2+1$$.

Question 4

If $$X+Y+Z=6$$ and $$XY+ZX+ZY=10$$, then find the value of $$X^3+Y^3+Z^3-3XYZ$$.

Question 5

In a triangle ABC, a line is drawn from C which bisects AB at point D. Find the ratio of area of the triangles DBC and ABC.

Question 6

The area of a right angled triangle ABC, right angled at B, is 46 sq units. A median is drawn from A to BC which intersects at D. Find the area (in sq. units) of triangle ABD.

Question 7

X and Y give an exam. Difference of their marks is 45 and the difference of their marks is 15% of the maximum marks. What is the maximum marks for the exam?

Question 8

If P : Q : R = 6 : 7 : 8 and R : S = 3 : 5, then what is P : S?

Question 9

In what ratio must a mixture of 11% sugar strength be mixed with that of 25% sugar strength so as to get a new mixture of 13% sugar strength?

Question 10

What is the average of 90, 250, 240, 204, and 616?

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