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Q:

Three toys are in a shape of cylinder, hemisphere and cone. The three toys have same base. Height of each toy is 2√2 cm. What is the ratio of the total surface areas of cylinder, hemisphere and cone respectively?

A) 4 : 3 : [(√2) + 1] B) 4 : 3 : [2 + (√2)]
C) 4 : 3 : 2√2 D) 2 : 1 : (1 + √2)
 
Answer & Explanation Answer: A) 4 : 3 : [(√2) + 1]

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Filed Under: Volume and Surface Area
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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
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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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Q:

A cylinder of radius 4.5 cm and height 12 cm just fits in another cylinder completely with their axis perpendicular. What is the radius (in cm) of second cylinder?

A) 5 B) 6
C) 15 D) 7.5
 
Answer & Explanation Answer: D) 7.5

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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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Q:

A regular hexagonal base prism has height 8 cm and side of base is 4 cm. What is the total surface area (in cm2) of the prism?

A) 54(3 + √3) B) 36(3 + √3)
C) 48(4 + √3) D) 24(4 + √3)
 
Answer & Explanation Answer: C) 48(4 + √3)

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Q:

In the given figure, four identical semicircles are drawn in a quadrant. XA = 7 cm. What is the area (in sq.cm) of shaded region ?

 

A) 70 B) 140
C) 77 D) 84
 
Answer & Explanation Answer: D) 84

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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