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Q:

What is the value of sin 75°+ sin 15°?

A) √3 B) 2√3
C) √(3/2) D) 3/√2
 
Answer & Explanation Answer: C) √(3/2)

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Q:

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

A) tan A B) tan 4 A
C) cot 4 A D) cot A
 
Answer & Explanation Answer: D) cot A

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Q:

Identical cubes of largest possible size are cut from a solid cuboid of size 65 cm × 26 cm × 3.9 cm. What is the total surface area (in cm2) of all the small cubes taken together?

A) 30420 B) 15210
C) 20280 D) 16440
 
Answer & Explanation Answer: A) 30420

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Q:

In the given figure, O is the centre of the circle and QOR = 50 deg, then what is the value of RPQ (in deg) ?

A) 15 B) 25
C) 20 D) 30
 
Answer & Explanation Answer: B) 25

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Q:

In the given figure, 3 semicircles are drawn on three sides of triangle ABC. Ab = 21 cm, BC = 28 cm and AC = 35 cm. What is the area (in sq.cm) of the shaded part?

A) 588 B) 324
C) 294 D) 286
 
Answer & Explanation Answer: C) 294

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Q:

The ratio of the curved surface area and total surface area of a right circular cylinder is 2 : 5. If the total surface area is 3080 cm2, then what is the volume (in cm3) of the cylinder?

A) 4312√6 B) 3822√6
C) 4522√6 D) 4642√6
 
Answer & Explanation Answer: A) 4312√6

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Q:

The height of a cone is 45 cm. It is cut at a height of 15 cm from its base by a plane parallel to its base. If the volume of the smaller cone is 18480 cm3, then what is the volume (in cm3) of the original cone?

A) 34650 B) 61600
C) 36960 D) 62370
 
Answer & Explanation Answer: D) 62370

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Q:

A right triangular prism has equilateral triangle as its base. Side of the triangle is 15 cm. Height of the prism is 20√3 cm. What is the volume (in cm3) of the prism?

A) 1125 B) 6750
C) 4500 D) 3375
 
Answer & Explanation Answer: D) 3375

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