Quantitative Aptitude - Arithmetic Ability Questions

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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Q:

If the curved surface area of a right circular cone is 10010 sq cm and its radius is 35 cm, find its volume?

A) 6930 cubic cm B) 13860 cubic cm
C) 3465 cubic cm D) 27720 cubic cm
 
Answer & Explanation Answer: B) 13860 cubic cm

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Filed Under: Volume and Surface Area
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Q:

At 5% simple interest per annum a certain sum yields a total amount of Rs. 2,790 at the end of 3 1/4 years. The sum invested was

A) Rs. 2350 B) Rs. 2400
C) Rs. 2600 D) Rs. 2550
 
Answer & Explanation Answer: B) Rs. 2400

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Filed Under: Simple Interest
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Q:

The average weight of 25 bags is 55 kg. The weight of one bag was misread as 65 instead of 56. Find the correct mean value.

A) 55.25 B) 55.36
C) 54.64 D) 55.65
 
Answer & Explanation Answer: C) 54.64

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Filed Under: Average
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Q:

The curved surface area and the slant height of a right circular cone are 858 cm² and 13 cm respectively. Find its diameter (in cm).

 

A) 21 B) 42
C) 84 D) 63
 
Answer & Explanation Answer: B) 42

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Filed Under: Volume and Surface Area
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Q:

Find the sum of the measures all the exterior angles of a decagon.

A) 720° B) 2160°
C) 360° D) 1800°
 
Answer & Explanation Answer: C) 360°

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Q:

A train of length, 245 metres, takes 20 seconds to cross a 355 metres long bridge. How much time (in seconds) will the train take to cross a 390 metres long platform?

A) 6.5 B) 9
C) 21.16 D) 15
 
Answer & Explanation Answer: C) 21.16

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Filed Under: Problems on Trains
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Q:

ΔPQR has sides PQ and PR measuring 983 and 893 units respectively. How many such triangles are possible with all integral sides?

A) 1876 B) 90
C) 1785 D) 1786
 
Answer & Explanation Answer: C) 1785

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Filed Under: Volume and Surface Area
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