Quantitative Aptitude - Arithmetic Ability Questions

Q:

The average age of eight teachers in a school is 40 years. A teacher among them died at the age of 55 years whereas another teacher whose age was 39 years joins them. The average age of the teachers in the school now is (in years)

A) 35 B) 36
C) 38 D) 39
 
Answer & Explanation Answer: C) 38

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Filed Under: Problems on Ages
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Q:

Two trains, one 150 m long and the other 130m long, coming from opposite directions crosssed each other in 7.2 seconds. The sum of speed of the two trains every hour would then be

 

A) 280 km B) 105 km
C) 70 km D) 140 km
 
Answer & Explanation Answer: D) 140 km

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Filed Under: Problems on Trains
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Q:

The centroid of an equilateral triangle ABC is G. If AB is 6 cms, the length of AG is

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

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Q:

Among three numbers, the first is twice the second and thrice the third. If the average of three numbers is 198, then what is the difference between the first and the third number?

A) 216 B) 297
C) 661 D) 431
 
Answer & Explanation Answer: A) 216

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Filed Under: Average
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Q:

ΔPQR is right angled at Q. QS is the altitude. PQ is 4√29 cm and PS is 8 cm. Find length of SR?

A) 10√29 cm B) 8√29 cm
C) 50 cm D) 20 cm
 
Answer & Explanation Answer: C) 50 cm

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Filed Under: Area
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Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

A) 19 – 57 B) 13 – 39
C) 23 – 69 D) 17 – 53
 
Answer & Explanation Answer: D) 17 – 53

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Filed Under: Odd Man Out
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Q:

If tan π/3c + cosec π/6c = x, then x is

A) (1-√2)/√2 B) (√3+4)/2√3
C) √3+2 D) (2√2-1)/2
 
Answer & Explanation Answer: C) √3+2

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Filed Under: Simplification
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Q:

(1 + tan2A)/tanA is equal to

A) secA B) sinA
C) cosecA D) cosA
 
Answer & Explanation Answer: C) cosecA

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Filed Under: Simplification
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