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Q:

$What is the value of (4 / 3) \cot^{2} (p / 6) + 3 \cos^{2} (150) - 4 {cosec}^{2} 45 + 8 \sin (p / 2) ?$

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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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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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
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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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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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Q:

10 identical solid spherical balls of radius 3 cm are melted to form a single sphere. In this process 20% of solid is wasted. What is the radius (in cm) of the bigger sphere?

A) 24	B) 12
C) 8	D) 6

Answer & Explanation Answer: D) 6

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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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