6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A man covers half of his journey by train at 60 km/hr, half of the remaining by bus at 30 km/hr and the rest by cycle at 10 km/hr. Find his average speed during the entire journey?

A) 32 kmph	B) 20 kmph
C) 18 kmph	D) 24 kmph

Answer & Explanation Answer: D) 24 kmph

Explanation:

Let the total distance of the journey of a man = d kms

Now, the average speed of the entire journey = $\frac{d}{\frac{d}{120} + \frac{d}{120} + \frac{d}{40}}$ = 24 kmph.

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Filed Under: Time and Distance
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30 18052

Q:

Abhinav scores 80% in physics and 66% in chemistry and the maximum marks of both the papers are 100. what percent does he score in maths which is of 200 marks, if he scores 80% marks in all the three subjects:

A) 74%	B) 84%
C) 87%	D) 83%

Answer & Explanation Answer: C) 87%

Explanation:

$\frac{80}{100} + \frac{66}{100} + \frac{x}{200} = \frac{320}{400}$

=>x = 174 => 87%

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Filed Under: Percentage

31 18035

Q:

12 buckets of water fill a tank when the capacity of each tank is 13.5 liters. How many buckets will be needed to fill the same tank,if the capacity of each bucket is 9 liters?

A) 8	B) 15
C) 16	D) 18

Answer & Explanation Answer: D) 18

Explanation:

Capacity of the tank =(12 x 13.5) liters =162 liters.

Capacity of each bucket =9 liters

Number of buckets needed = 162/9 =18.

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Filed Under: Pipes and Cistern

26 18032

Q:

Raju got married 8years ago. His present age is 6/5 times his age at the time of his marriage Raju's sister was 10years younger to him at the time of his marriage. The present age of Raju's sister is ?

A) 30	B) 32
C) 38	D) None

Answer & Explanation Answer: C) 38

Explanation:

Let Raju's age at the time of his marriage = X years

Then from given data

=> X + 8 = 6/5 X

X = 40.

Since got married 8 years ago, his present age = 48

His sister is 10 years younger => 48 - 10 = 38 years.

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Filed Under: Problems on Ages
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24 18031

Q:

What is the smallest number by which 2880 must be divided in order to make it into a perfect square ?

A) 2	B) 3
C) 4	D) 5

Answer & Explanation Answer: D) 5

Explanation:

By trial and error method, we get
2880/3 = 960 is not a perfect square
2880/4 = 720 is not a perfect square
2880/5 = 576 which is perfect square of 24
Hence, 5 is the least number by which 2880 must be divided in order to make it into a perfect square.

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Filed Under: Numbers
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14 18016

Q:

The simple interest on Rs.10 for 4 months at the rate of 3 paise per month is

A) 0.3 Paise	B) 1.2 Paise
C) 30 Paise	D) 3 Paise

Answer & Explanation Answer: B) 1.2 Paise

Explanation:

Given Principal amount P = Rs. 10

Time T = 4 months

Rate of interest R = 3 ps

Interest I = PTR/100 = (10 x 4 x 3)/100 = 12/10 = 1.2 paise.

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Filed Under: Simple Interest
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7 18008

Q:

A sum of money triples itself in 8 years simple interest. Find the rate of percent per annum?

A) 30%	B) 25%
C) 22%	D) 18%

Answer & Explanation Answer: B) 25%

Explanation:

The rate of percent R is given by,

exp.

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Filed Under: Simple Interest
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47 17989

Q:

In a village the average age of n people is 42 years. But after the verification it was found that the age of a person had been considered 20 years less than the actual age, so the new average, after the correction,increased by 1. The value of n is :

A) 21	B) 20
C) 22	D) None of these

Answer & Explanation Answer: B) 20

Explanation:

It is the same as a person with 20 years more age replaces an existing person of the group ( or village)

Since the total age of the village having n persons, is being increased by 20 years and the average age of village is being increased by 1 year, hence there are total 20 people in the village.

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