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Q:

From a point P, the angle of elevation of a tower is such that its tangent is 3/4. On walking 560 metres towards the tower the tangent of the angle of elevation of the tower becomes 4/3. What is the height (in metres) of the tower?

A) 720	B) 960
C) 840	D) 1030

Answer & Explanation Answer: B) 960

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

A tower stands on the top of a building which is 40 metres high. The angle of depression of a point situated on the ground from the top and bottom of the tower are found to be 60 and 45 deg respectively. What is the height (in metres) of tower?

A) 20√3	B) 30(√3 + 1)
C) 40(√3 – 1)	D) 50(√3 – 1)

Answer & Explanation Answer: C) 40(√3 – 1)

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Two trees are standing along the opposite sides of a road. Distance between the two trees is 400 metres. There is a point on the road between the trees. The angle of depressions of the point from the top of the trees are 45 deg and 60 deg. If the height of the tree which makes 45 deg angle is 200 metres, then what will be the height (in metres) of the other tree?

A) 200	B) 200√3
C) 100√3	D) 250

Answer & Explanation Answer: B) 200√3

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

What is the value of cos (90 – B) sin (C – A) + sin (90 + A) cos (B + C) – sin (90 – C) cos (A + B)?

A) 1	B) sin ( A + B – C)
C) cos ( B + C – A)	D) 0

Answer & Explanation Answer: D) 0

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Filed Under: Simplification
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Q:

What is the value of $\tan (\frac{π}{4} + A) \times \tan (\frac{3 π}{4} + A) ?$

A) 1	B) 0
C) cot A/2	D) – 1

Answer & Explanation Answer: D) – 1

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Q:

What is the value of [(sin 7x – sin 5x)÷(cos 7x + cos 5x)] – [(cos 6x – cos 4x)÷(sin 6x + sin 4x)]?

A) 1	B) 2 tan x
C) tan 2 x	D) tan (3 x/2)

Answer & Explanation Answer: B) 2 tan x

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Q:

A regular square pyramid has side of its base 20 cm and height 45 cm is melted and recast into regular triangular pyramids of equilateral base of side 10 cm and height 10√3 cm. What are the total numbers of regular triangular pyramid?

A) 24	B) 20
C) 27	D) 28

Answer & Explanation Answer: A) 24

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

Q:

A solid cube is cut into 27 identical cubes. What is the percentage increase in the total surface area?

A) 150	B) 200
C) 300	D) 250

Answer & Explanation Answer: B) 200

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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