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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:

What is the value of [tan2 (90  θ)  sin2 (90  θ)] cosec2 (90  θ) cot2 (90  θ)?

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:

What is the value of (4/3) cot2 (p/6) + 3 cos2 (150)  4 cosec2 45 + 8 sin (p/2)?

A) 25/4 B) 1
C) – 7/2 D) 13/2
 
Answer & Explanation Answer: A) 25/4

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Filed Under: Simplification
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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:

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

Q:

The radius of base of a solid cylinder is 7 cm and its height is 21 cm. It is melted and converted into small bullets. Each bullet is of same size. Each bullet consisted of two parts viz. a cylinder and a hemisphere on one of its base. The total height of bullet is 3.5 cm and radius of base is 2.1 cm. Approximately how many complete bullets can be obtained?

A) 83 B) 89
C) 74 D) 79
 
Answer & Explanation Answer: A) 83

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Filed Under: Volume and Surface Area
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Q:

A solid cylinder has radius of base 14 cm and height 15 cm. 4 identical cylinders are cut from each base as shown in the given figure. Heoght of small cylinder is 5 cm. What is the total surface area of the remaining part?

A) 3740 B) 3432
C) 3124 D) 2816
 
Answer & Explanation Answer: B) 3432

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Filed Under: Volume and Surface Area
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Q:

Radius of base of a hollow cone is 8 cm and its height is 15 cm. A sphere of largest radius is put inside the cone. What is the ratio of radius of base of cone to the radius of sphere?

A) 5 : 3 B) 4 : 1
C) 2 : 1 D) 7 : 3
 
Answer & Explanation Answer: A) 5 : 3

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