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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:

Two spheres of equal radius are taken out by cutting from a solid cube of side (12 + 4√3) cm. What is the maximum volume (in cm3) of each sphere?

A) 1077.31 B) 905.14
C) 966.07 D) 1007.24
 
Answer & Explanation Answer: B) 905.14

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

Q:

A right circular cylinder has height 28 cm and radius of base 14 cm. Two hemispheres of radius 7 cm each are cut from each of the two bases of the cylinder. What is the total surface area (in cm2) of the remaining part?

A) 3842 B) 4312
C) 3296 D) 4436
 
Answer & Explanation Answer: B) 4312

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Filed Under: Area
Exam Prep: Bank Exams

Q:

A cube is placed inside a cone of radius 20 cm and height 10 cm, one of its face being on the base of the cone and vertices of opposite face touching the cone. What is the length (in cm) of side of the cube?

A) 5 B) 6
C) 8 D) 9
 
Answer & Explanation Answer: C) 8

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Filed Under: Area
Exam Prep: Bank Exams

Q:

A man is running at the speed of 20 km/hr. What is time (in seconds) taken by man to cover one round of a circular garden of radius 350 metres?

A) 412 B) 336
C) 396 D) 376
 
Answer & Explanation Answer: C) 396

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Filed Under: Time and Distance
Exam Prep: Bank Exams

Q:

In a triangle PQR, PX, QY and RZ be altitudes intersecting at O. If PO = 6 cm, PX = 8 cm and QO = 4 cm, then what is the value (in cm) of QY?

A) 6.3 B) 5.8
C) 6 D) 7
 
Answer & Explanation Answer: D) 7

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Filed Under: Area
Exam Prep: Bank Exams