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SSC Quant Quiz on Advanced Maths 25.03.2018

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Question 1

If tan θ + cot θ = x, then what is the value of?

Question 2

Find the maximum value of sin220θ.cos220θ.

Question 3

If then the value of  is:

Question 4

If , find x (x>0).

Question 5

A hollow cylindrical tube 20 cm long is made of iron and its external and internal diameters are 8 cm and 6 cm respectively. The volume (in cubic cm) of iron used in making the tube is (Take π = 22/7)

Question 6

Cuboid is of dimensions Length = 15cm, Breadth = 12cm, Height =11cm. Its length decreases by 20/3 % and breadth increases by 25/3%. Find the surface area of the 4 walls keeping its length and breadth as base.

Question 7

The diagonal of a square is 4√2 cm. The diagonal of another square whose area is double to that of the first?

Question 8

In a triangle PQR, Q = 90 °. If PQ = 12 cm and QR = 5 cm, then what is the radius (in cm) of the circumcircle of the triangle?

Question 9

In the following figure drawn below, Find the measure of a – 7°? ( m1 || m2 )

Question 10

D and E are points on side AB and AC of ΔABC. DE is parallel to BC. If AD:DB = 1:4 and area of ΔADE is 6 sq cm, what is the ratio of area of ΔADE : area of quadrilateral BDEC?
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