Quantitative Aptitude - Arithmetic Ability Questions

Q:

The base of a triangle is half the base of a parallelogram having the same area as that of the triangle. The ratio of the corresponding heights of the triangle to the parallelogram will be

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

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Filed Under: Area
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Q:

The upper part of a tree broke at a certain height makes an angle of 60 ° with the ground at a distance of 10 m. from its feet. The original height of the tree was

A) 20√3 m. B) 10√3 m.
C) 10(2+√3) m. D) 10(2-­√3) m.
 
Answer & Explanation Answer: C) 10(2+√3) m.

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Filed Under: Height and Distance
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Q:

The slope of the line passing through the points (2,-1) and (x,5) is -1. Find x?

A) 4 B) -4
C) 8 D) -8
 
Answer & Explanation Answer: B) -4

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Filed Under: Simplification
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Q:

If the side AB of an equilateral triangle ABC is equal to 12 cm. Calculate the length( in cm) of the AO, if O is the centroid of the triangle.

A) 2√3 B) 3√3
C) 4√3 D) 9√3
 
Answer & Explanation Answer: C) 4√3

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Filed Under: Volume and Surface Area
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Q:

The total surface area of a hemisphere is 41.58 sq cm, find its radius.

A) 4.2 cm B) 0.7 cm
C) 1.05 cm D) 2.1 cm
 
Answer & Explanation Answer: D) 2.1 cm

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Filed Under: Volume and Surface Area
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Q:

The marked price of a shirt is Rs 1800 and retailer gets a discount of 40%. If he sells that shirt for Rs 1800, then what is the profit percentage of retailer?

 

A) 40 B) 66.66
C) 37.5 D) 62.5
 
Answer & Explanation Answer: B) 66.66

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Filed Under: Profit and Loss
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Q:

A chord of a circle is equal to its radius. A tangent is drawn to the circle at an extremity of the chord. The angle between the tangent and the chord is

A) 30° B) 45°
C) 60° D) 75°
 
Answer & Explanation Answer: A) 30°

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Filed Under: Volume and Surface Area
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Q:

The ratio of total surface area and volume of a sphere is 1 : 7. This sphere is melted to form small spheres of equal size. The radius of each small sphere is 1/6th the radius of the large sphere. What is the sum (in cm2) of curved surface areas of all small spheres?

A) 31276 B) 36194
C) 25182 D) 33264
 
Answer & Explanation Answer: D) 33264

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Filed Under: Volume and Surface Area
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