SSC CGL Tier 1 9 August 2015 Shift 1

Instructions

For the following questions answer them individually

Question 81

Walking at the rate of 4 kmph a man covers certain distance in 2 hrs 45 min. Running at a speed of 16.5 kmph the man will cover the same distance in how many minutes ?

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Question 82

If x = 332, y = 332, z = 332, then the value of $$x^3 + y^3 + z^3 - 3xyz$$ is

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Question 83

If $$2+x\sqrt{3}$$=$$\frac{1}{2+\sqrt{3}}$$ then the simplest value of x is

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Question 84

If $$\frac{m-a^2}{b^2+c^2}+\frac{m-b^2}{c^2+a^2}+\frac{m-c^2}{a^2+b^2}=3$$ then the value of m is

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Question 85

The measure of an angle whose supplement is three times as large as its complement, is

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Question 86

If m = - 4, n = - 2, then the value of $$m^3 - 3m^2 + 3m + 3n + 3n^2 + n^3$$ is

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Question 87

2x- ky + 7 = 0 and 6x- 12y+ 15 = 0 has no solution for

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Question 88

Choose the correct relation(s) from the following:
(i) $$\sqrt{6}+\sqrt{2}=\sqrt{5}+\sqrt{3}$$
(ii) $$\sqrt{6}+\sqrt{2}<\sqrt{5}+\sqrt{3}$$
(iii) $$\sqrt{6}+\sqrt{2}>\sqrt{5}+\sqrt{3}$$

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Question 89

If $$x cosθ - sinθ = 1,$$ then $$x^{2} - (1 +x^{2}) sinθ$$ equals

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Question 90

A 10 metre long ladder is placed against a wall. It is inclined at an angle of 30° to the ground. The distance (in m) of the foot of the ladder from the wall is (Given √3 = 1.732)

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