SSC CGL 30 August 2015 Tier 1

Instructions

For the following questions answer them individually

Question 161

PQRST is a cyclic pentagon and PT is a diameter, then $$\angle$$PQR + $$\angle$$RST is equal to

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Question 162

If $$x=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$$ then $$x^{3} + \frac{1}{x^{3}}$$ is equal to

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Question 163

The distance between the centres of the two circles of radii r1, and r2 is d. They will touch each other internally if

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Question 164

ΔABC is an isosceles triangle with AB = AC = 10 cm, AD = 8 cm is the median on BC from A. The length of BC is

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Question 165

A point Q is 13 crn from the centre of a circle. The length of the tangent drawn from Q to a circle is 12 cm. The distance of Q from the nearest point of the circle is

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Question 166

ΔABC is a right angled triangle with AB = 6 cm, AC = 8 cm, ∠BAC = 90′. Then the radius of the incircle is

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Question 167

In a circle with centre O, AB and CD are two diameters perpendicular to each other. The length of chord AC is

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Question 168

ΔABC is similar to ΔDEF. The ratio of their perimeters is 4 :1. The ratio of their areas is

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Question 169

The angle between the minute hand and hour hand of a clock when the time is 7:20 is equal to

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Question 170

The value of $$cos^2 30^{\circ} + sin^2 60^{\circ} + tan^2 45^{\circ} + sec^2 60^{\circ} + cos0^{\circ}$$ is

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