6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two numbers are 35% and 42% are less than a third number .How much percent is the second number less than the first ?

A) 10.769 %	B) 11.23 %
C) 10.4 %	D) 9.87 %

Answer & Explanation Answer: A) 10.769 %

Explanation:

I II III

65 58 100

65 -------- 7
100 ------ ? => 10.769%

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Filed Under: Percentage
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12 17561

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 17559

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 17556

Q:

A hollow iron pipe is 21 cm long and its external diameter is 8 cm. If the thickness of the pipe is 1 cm and iron weighs 8g/cu.cm, then the weight of the pipe is

A) 3.6 kg	B) 3.696 kg
C) 36 kg	D) 36.9 kg

Answer & Explanation Answer: B) 3.696 kg

Explanation:

External radius = 4 cm

Internal radius = 3 cm

Volume of iron = $[\frac{22}{7} \times (4^{2} - 3^{2}) \times 21] c m^{3}$ = $462 c m^{3}$

Weight of iron = (462 x 8)gm = 3696 gm = 3.696 kg

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Filed Under: Volume and Surface Area

28 17554

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 17526

Q:

With an average speed of 40 km/hr, a train reaches its destination in time. If it goes with an average speed of 35 km/hr, it is late by 15 minutes. Find the length of the total journey?

A) 70 kms	B) 60 kms
C) 45 kms	D) 30 kms

Answer & Explanation Answer: A) 70 kms

Explanation:

Let the time taken by train be 't' hrs.

Then,

$40 t = 35 (t + \frac{15}{60})$

40t = 35t + 35/4

t = 7/4 hrs

Therefore, Required length of the total journey d = s x t

= 40 x 7/4

= 70 kms.

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Filed Under: Time and Distance
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22 17521

Q:

Vishal invested 10% more than Trishul. Trishul invested 10% less than Raghu. If the total sum of their investments is Rs. 5780, how much amount did Raghu invest ?

A) Rs.2010	B) Rs.2200
C) Rs.2000	D) Rs.2100

Answer & Explanation Answer: C) Rs.2000

Explanation:

Let money invested by Raghu = Rs. x
Money invested by Trishul = 9/10 x = 0.9x
Money invested by Vishal = 9/10x * 110/100 = 0.99x
Also, x+0.9x+0.99x = 5780
= x= 5780/2.89 = 2000

Therefore, amount invested by Raghu is Rs. 2000.

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Filed Under: Partnership
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12 17518

Q:

The true discount on Rs. 2562 due 4 months hence is Rs. 122. The rate percent is?

A) 12%	B) 13%
C) 15%	D) 14%

Quantitative Aptitude - Arithmetic Ability Questions

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