SSC CGL 2012 Tier 1 1 July NZ Evening IV

Instructions

For the following questions answer them individually

Question 101

If cot A + cosec A = 3 and A is an acute angle, then the value of cos A is :

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Question 102

A three­ digit number 4a3 is added to another three ­digit number 984 to give the four digit­ number 13b7 which is divisible by 11. Then the value of (a+b) is:

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Question 103

In a right ­angled triangle ABC, ∠B is the right angle and AC = 2√5­ cm. If AB - BC = 2 cm then the value of $$(cos^2 A - cos^2 C)$$ is :

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Question 104

A boy standing in the middle of a field, observes a flying bird in the north at an angle of elevation of 30° and after 2 minutes, he observes the same bird in the south at an angle of elevation of 60°. If the bird flies all along in a straight line at a height of 50 m, then its speed in km/h is :

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Question 105

The perimeter of an isosceles, right­ angled triangle is 2p unit. The area of the same traingle is :

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Question 106

ΔABC and ΔDEF are similar and their areas be respectively 64 cm2 and 121 cm2. If EF = 15.4 cm, BC is:

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Question 107

If G is the centroid of ΔABC and AG = BC, then ∠BGC is:

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Question 108

If tan(x + y) tan(x - y) = 1, then the value of tan x is :

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Question 109

In a partnership business, A invests 1/6th of the capital for 1/6 of the total time, B invests 1/4 of the capital for 1/4 of the total time and C, the rest of the capital for the whole time. Out of a profit of 19,400, B's share is :

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Question 110

A jar contains a mixture of two liquids A and B in the ratio 4 : 1. When 10 litre of the mixture is replaced with liquid B, the ratio becomes 2 : 3. The volume of liquid A present in the jar earlier was:

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