6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Chennai express left Hyderabad for Chennai at 14 : 30 hours, travelling at a speed of 60 kmph and Charminar Express left Hyderabad for Chennai on the same day at 16 : 30 hours, travelling at a speed of 80 kmph. How far away from Hyderabad will the two trains meet?

A) 360 kms	B) 480 kms
C) 520 kms	D) 240 kms

Answer & Explanation Answer: B) 480 kms

Explanation:

Now, the distance covered by Chennai express in 2 hrs = 60 x 2 = 120 kms

Let the Charminar Express takes 't' hrs to catch Chennai express

=> 80 x t = 60 x (2 + t)

=> 80 t = 120 + 60t

=> t = 6 hrs

Therefore, the distance away from Hyderabad the two trains meet = 80 x 6 = 480 kms.

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Filed Under: Time and Distance
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Q:

If rupee two produces rupees eleven over a period of 30 years, find the rate of simple interest ?

A) 17.25 %	B) 18.14 %
C) 18.33 %	D) 17.35 %

Answer & Explanation Answer: C) 18.33 %

Explanation:

We know that I = PTR/100

11 = (2x30xR)/100

R = 18.333 %

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Filed Under: Simple Interest
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Q:

$If \sqrt{3} = 1.732, then what is the value of (\sqrt{3} - \frac{10}{\sqrt{3}} + \sqrt{27}) ?$

A) 1.154	B) 1.577
C) 1.464	D) 2.358

Answer & Explanation Answer: A) 1.154

Explanation:

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Filed Under: Simplification
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Q:

K and L start a business jointly. L invests Rs.16000 for 8 months and L remains in the business for 4 months. Out of the total profit B claims 2/7th share. How much money is contributed by B ?

A) Rs. 9040	B) Rs. 10,400
C) Rs. 12,800	D) Rs. 6350

Answer & Explanation Answer: C) Rs. 12,800

Explanation:

16x8 : Px4 = 5:2

P = 12.8 => Rs.12,800

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Filed Under: Partnership
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Q:

There are 5 consecutive odd numbers. If the difference between square of the average of first two odd number and the of the average last two odd numbers is 396, what is the smallest odd number?

A) 29	B) 27
C) 31	D) 33

Answer & Explanation Answer: A) 29

Explanation:

Let the five consecutive odd numbers be x-4, x-2, x, x+2, x+4

According to the question,

Difference between square of the average of first two odd number and the of the average last

two odd numbers is 396

i.e, x+3 and x-3

$\Rightarrow {(x + 3)}^{2} - {(x - 3)}^{2} = 396 \Rightarrow x^{2} + 9 + 6 x - x^{2} + 6 x - 9 = 396 \Rightarrow 12 x = 396 \Rightarrow x = 33$

Hence, the smallest odd number is 33 - 4 = 29.

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Filed Under: Problems on Numbers
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Q:

Mary is 12 years younger to Pinky. After 3 years, the ratio of their ages will be 5:8. If the present age of Sam is the sum of ages of Mary and Pinky, then what was the age of Sam 15 years back ?

A) 31 years	B) 37 years
C) 46 years	D) 29 years

Answer & Explanation Answer: A) 31 years

Explanation:

Let the present age of Pinky be x years

Then the age of Mary is x - 12 years

After 3 years,

Ratio of $\frac{M a r y}{P i n k y} = \frac{x - 9}{x + 3} = \frac{5}{8}$

8x - 72 = 5x +15

=> 3x = 87

=> x = 29

=> Age of Pinky = 29 years

=> Age of Mary = 29 - 12 = 17 years

Present age of Sam = 29 + 17 = 46

Before 15 years Sam age = 46 - 15 = 31 years.

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Filed Under: Problems on Ages
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9 3767

Q:

Find the number of ways to take 4 people and place them in groups of 3 at a time where order does not matter?

A) 4	B) 12
C) 36	D) 16

Answer & Explanation Answer: A) 4

Explanation:

Since order does not matter, use the combination formula

${}^{4}C_{3}$ = 24/6 = 4

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Filed Under: Permutations and Combinations

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Q:

$[\sqrt[3]{250047} + (56)^{2}] \div 7 = ?$

A) 547	B) 475
C) 455	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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Quantitative Aptitude - Arithmetic Ability Questions

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