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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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Filed Under: Volume and Surface Area
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Q:

In the given figure, ABCD is a square, BCXYZ is a regular pentagon and ABE is an  equilateral triangle. What is the value in deg of EBZ?

A) 102 B) 98
C) 78 D) 64
 
Answer & Explanation Answer: A) 102

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Q:

ABCD is a rectangle. P is a point on the side AB as shown in the given figure. If Dp = 13, CP = 10

A) √105 B) √133
C) 12 D) 10
 
Answer & Explanation Answer: A) √105

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Q:

An equilateral triangle of area 300 cm2 is cut from its three vertices to form a regular hexagon. Area of hexagon is what percent of the area of triangle?

A) 66.66% B) 33.33%
C) 83.33% D) 56.41%
 
Answer & Explanation Answer: A) 66.66%

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Filed Under: Volume and Surface Area
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Q:

In triangle PQR, C is the centroid. PQ = 30 cm, QR = 36 cm and PR = 50 cm. If D is the midpoint of QR, then what is the length (in cm) of CD?

A) (4√86)/3 B) (2√86)/3
C) (5√86)/3 D) (5√86)/2
 
Answer & Explanation Answer: A) (4√86)/3

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Filed Under: Area
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Q:

A balloon leaves from a point P rises at a uniform speed. After 6 minutes, an observer situated at a distance of 450√3 metres from point P observes that angle of elevation of the balloon is 60 deg. Assume that point of observation and point P are on the same level. What is the speed (in m/s) of the balloon?

A) 4.25 B) 3.75
C) 4.5 D) 3.45
 
Answer & Explanation Answer: B) 3.75

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Filed Under: Height and Distance
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Q:

A kite is flying in the sky. The length of string between a point on the ground and kite is 420 m. The angle of elevation of string with the ground is 30 deg. Assuming that there is no slack in the string, then what is the height (in metres) of the kite?

A) 210 B) 140√3
C) 210√3 D) 150
 
Answer & Explanation Answer: A) 210

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Q:

The angle of elevation of an aeroplane from a point on the ground is 60 deg. After flying for 30 seconds, the angle of elevation changes to 30 deg. If the aeroplane is flying at a height of 4500 m, then what is the speed (in m/s) of aeroplane?

A) 50√3 B) 100√3
C) 200√3 D) 300√3
 
Answer & Explanation Answer: B) 100√3

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Filed Under: Height and Distance
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