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Q:

The tops of two poles of height 60 metres and 35 metres are connected by a rope. If the rope makes an angle with the horizontal whose tangent is 5/9 metres, then what is the distance (in metres) between the two poles?

A) 63 B)  30
C) 25 D) 45
 
Answer & Explanation Answer: D) 45

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Filed Under: Height and Distance
Exam Prep: Bank Exams

Q:

Two points P and Q are at the distance of x and y (where y > x) respectively from the base of a building and on a straight line. If the angles of elevation of the top of the building from points P and Q are complementary, then what is the height of the building?

A) xy B) √( y/ x)
C) √( x/ y) D) √( xy)
 
Answer & Explanation Answer: D) √( xy)

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of cos [(180 – θ)/2] cos [(180 – 9θ)/2] + sin [(180 – 3θ)/2] sin [(180 – 13θ)/2]?

A) sin 2θ sin 4θ B) cos 2θ cos 6θ
C) sin 2θ sin 6θ D) cos 2θ cos 4θ
 
Answer & Explanation Answer: B) cos 2θ cos 6θ

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

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

A) 3/2 B) – 3
C) 1 D) 0
 
Answer & Explanation Answer: D) 0

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of [(tan 5θ + tan 3θ)/4 cos 4θ (tan 5θ – tan 3θ)]?

A) sin 2θ B) cos 2θ
C) tan 4θ D) cot 2θ
 
Answer & Explanation Answer: B) cos 2θ

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

What is the value of [(sin x + sin y) (sin x – sin y)]/[(cosx + cosy) (cosy – cosx)]?

A) 0 B) 1
C) – 1 D) 2
 
Answer & Explanation Answer: B) 1

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

A right triangular pyramid XYZB is cut from cube as shown in figure. The side of cube is 16 cm. X, Y and Z are mid points of the edges of the cube. What is the total surface area (in sq.cm) of the pyramid?

 

A) 48[(√3) + 1] B) 24[4 + (√3)]
C) 28[6 + (√3)] D) 32[3 + (√3)]
 
Answer & Explanation Answer: D) 32[3 + (√3)]

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

Q:

A cuboid of size 50 cm × 40 cm × 30 cm is cut into 8 identical parts by 3 cuts. What is the total surface area (in cm2) of all the 8 parts?

A) 11750 B) 14100
C) 18800 D) 23500
 
Answer & Explanation Answer: C) 18800

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