SSC CGL 30 August 2015 Tier 1

Instructions

For the following questions answer them individually

Question 171

If a 48 m tall building has a shadow of 48√3 m., then the angle of elevation of the sun is

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Question 172

If $$cos x + cos^{2} x = 1,$$ then $$sin^{8} x + 2 sin^{6} x + sin^{4}$$ x is equal to

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Question 173

O is the circumcentre of the triangle ABC and ∠BAC = 85°, ∠BCA = 75°, then the value of ∠OAC is

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Question 174

If $$x= p$$ $$cosec θ$$ and $$y= q$$ $$cot θ$$, then the value of $$\frac{x^2}{p^2}-\frac{y^2}{q^2}$$ is

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Question 175

From an aeroplane just over a straight road, the angles of depression of two consecutive kilometre stones situated at opposite sides of the aeroplane were found to be 60° and 30° respectively. The height (in km) of the aeroplane from the road at that instant was (Given √3 = 1.732)

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Question 176

In ΔABC, ∠C = 90° and AB = c, BC = a, CA = b; then the value of (cosec B - cos A) is

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Question 177

$$\sqrt{\sqrt{\sqrt{0.00000256}}}$$

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Question 178

If 1 man or 2 women or 3 boys can do a piece of work in 44 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in

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Question 179

The digit in the unit place in the square root of 66049 is

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Question 180

8 workers can build a wall 18 m long, 2 m broad and 12 m high in 10 days, working 9 hours a day. Find how many workers will be able to build a wall 32 m long, 3 m broad and 9 m high in 8 days working 6 hours a day ?

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