Quantitative Aptitude - Arithmetic Ability Questions

Q:

A man can cover a certain distance in 3 hours 36 minutes if he walks at the rate of 5 Km/hr. If he covers the same distance on cycle at the rate of 24 Km/hr, then the time taken by him in minutes is

A) 40 B) 45
C) 50 D) 55
 
Answer & Explanation Answer: B) 45

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Q:

What is the effective discount (in %) on two successive discounts of 20% and 10%?

A) 30 B) 32
C) 35 D) 28
 
Answer & Explanation Answer: D) 28

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Q:

The mean of the data 3, 10, 10, 4, 7, 10, 5 is

A) 18/7 B) 7
C) 39/7 D) 6
 
Answer & Explanation Answer: B) 7

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Q:

The heights of a cone and a cylinder are equal. The radii of their bases are in the ratio 2:1. The ratio of their volumes is:

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

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Q:

The orthocentre of a triangle is the point where

A) the medians meet B) the altitudes meet
C) the right bisectors of the sides of D) the bisectors of the angles
 
Answer & Explanation Answer: B) the altitudes meet

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Q:

The length of two parallel sides of a trapezium are 18 m and 24 m. If its height is 12 m, then what is the area (in sq.m) of the trapezium?

A) 126 B) 252
C) 504 D) 1024
 
Answer & Explanation Answer: B) 252

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Q:

The corners of a square of side ‘a’ are cut away so as to form a regular octagon. What is the side of the octagon?

A) a(√2 –1) B) a(√3 –1)
C) a/√2+2 D) a/3
 
Answer & Explanation Answer: A) a(√2 –1)

Explanation:

Since we are forming a regular octagon

so AE = AL = FB = BG and so on

So AE = SB = x/√2

AE + EF + FB = side of square = a (Given)

So x/√2 + x + x/√2 = a

X = a/(√2+1) = a(√2 -1)

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Q:

The radius and the height of a cone are each increased by 20%. Then the volume of the cone increases by

A) 20% B) 20.5%
C) 62% D) 72.8%
 
Answer & Explanation Answer: D) 72.8%

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