6500+ Quantitative Aptitude Questions and Answers With Explanation

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:

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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4 3766

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 3764

Q:

If $\sin θ = 40 / 41$ , then $c o t θ$ is

A) 40/9	B) 9/40
C) 9/41	D) 41/9

Answer & Explanation Answer: B) 9/40

Explanation:

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0 3761

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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1 3760

Q:

Find the simple interest charged on borrowing $325 for 5 years at 3% p.a. (per annum or per year) interest.

A) 59	B) 46
C) 48.75	D) 34.75

Answer & Explanation Answer: C) 48.75

Explanation:

I= $\frac{P T R}{100}$

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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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Q:

The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:

A) 3years	B) 2years
C) 4years	D) 6years

Answer & Explanation Answer: B) 2years

Explanation:

Amount = Rs. (30000 + 4347) = Rs. 34347.

Let the time be n years.

Then, 30000*(1+7/100)^n=34347

n= 2 years

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Filed Under: Compound Interest
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