Quantitative Aptitude - Arithmetic Ability Questions

Q:

The angle of elevation of an aeroplane from a point on the ground is 45°. After flying for 15 seconds, the elevation changes to 30°. If the aeroplane is flying at a height of 2500 metres, then the speed of the aeroplane in km/hr. is

A) 600 B) 600 (√3 + 1)
C) 600 √3 D) 600 (√3 - 1)
 
Answer & Explanation Answer: D) 600 (√3 - 1)

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Filed Under: Height and Distance
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Q:

Two circles touch each other externally. The distance between their centres is 7 cm. If the radius of one circle is 4 cm, then the radius of the other circle will be

A) 3 cm B) 4 cm
C) 5.5 cm D) 3.5 cm
 
Answer & Explanation Answer: A) 3 cm

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Filed Under: Volume and Surface Area
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Q:

If the lengths of the two parallel sides of a trapezium are 8 cm and 10 cm and its area is 54 cm². Find the distance between its parallel sides (in cm).

A) 6 B) 3
C) 12 D) 9
 
Answer & Explanation Answer: A) 6

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Filed Under: Volume and Surface Area
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Q:

In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

 

A) (14, 29, 43)   B) (11, 23, 34)  
C) (15, 31, 46)   D) (21, 42, 64)
 
Answer & Explanation Answer: D) (21, 42, 64)

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Filed Under: Odd Man Out
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Q:

Two circles of equal radii intersect each other such that one circle will pass through the centre of the other circle. The distance between the centre of two circles is equal to 6 cm. Find the length (in cm) of common chord.

 

A) √3   B) 2√3
C) 3√3 D) 6√3
 
Answer & Explanation Answer: D) 6√3

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Filed Under: Simplification
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Q:

The square root of 4096 is

A) 56 B) 68
C) 74 D) 64
 
Answer & Explanation Answer: D) 64

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Filed Under: Simplification
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Q:

From the top of a building, the angles of elevation and depression of top and bottom of a tower are 60 deg and 30 deg respectively. If the height of the building is 5m, then the height of the tower is

A) 20 m B) 15 m
C) 10√3 m D) 5√3 m
 
Answer & Explanation Answer: A) 20 m

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Filed Under: Height and Distance
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Q:

What is the square root of 6561?

A) 79 B) 89
C) 77 D) 81
 
Answer & Explanation Answer: D) 81

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Filed Under: Square Roots and Cube Roots
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