Quantitative Aptitude - Arithmetic Ability Questions

Q:

A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angles of depression of the two points be 45° and 60°, then the width of the river is

A) (200 + 200/√3) m B) (200 - 200/√3) m
C) 400 √3 m D) (400/√3) m
 
Answer & Explanation Answer: B) (200 - 200/√3) m

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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:

The co-ordinates of the centroid of a triangle ABC are (1 , -4). What are the co-ordinates of vertex C if co-ordinates of A and B are (3 , -4) and (0 , 5) respectively?

A) (0 , 13) B) (0, 5)
C) (0, -5) D) (0 , -13)
 
Answer & Explanation Answer: D) (0 , -13)

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Filed Under: Volume and Surface Area
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Q:

Find the maximum area of a rectangle field which is surrounded by a rope of 400 m.

A) 5000 sq.m B) 6250 sq.m
C) 4000 sq.m D) 10000 sq.m
 
Answer & Explanation Answer: D) 10000 sq.m

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Filed Under: Area
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Q:

A shopkeeper purchased a pen drive of marked price Rs. 1000 at successive discounts of 10% & 15% respectively. He spent Rs. 35 on packaging and sold it on Rs. 1000. Calculate the Gain percent.

 

A) No Gain B) 25%
C) 30% D) 35%
 
Answer & Explanation Answer: B) 25%

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Filed Under: Profit and Loss
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Q:

ΔABC is similar to ΔDEF. Length of AB is 18 cm and length of the corresponding side DE is 10 cm. What is the ratio of Perimeter of ΔABC : Perimeter of ΔDEF?

A) 5:9 B) 9:5
C) 81:25 D) 25:81
 
Answer & Explanation Answer: B) 9:5

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Filed Under: Volume and Surface Area
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Q:

If 70% of 5/7th of a number is 90, find the number.

A) 150 B) 180
C) 160 D) 190
 
Answer & Explanation Answer: B) 180

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Filed Under: Problems on Numbers
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Q:

The two chords AB and CD of a circle intersect at point P, such that BP=4 cm, PD=5 cm, and CP=8 cm. find the length of chord AB.

 

A) 8 B) 10
C) 12 D) 14
 
Answer & Explanation Answer: D) 14

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Filed Under: Area
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