6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The cost price of 40 Magazines is the same as the selling price of 'P' articles. If the profit is 25%, then the value of 'P' is:

A) 32	B) 40
C) 16	D) 30

Answer & Explanation Answer: A) 32

Explanation:

Let C.P. of each Magazine be Rs. 1

C.P. of P articles = Rs. P.

S.P. of P articles = Rs. 40.

Profit = Rs. (40 - P)

Now, Gain% = $\frac{P r o f i t}{C . P} \times 100$ = $\frac{40 - P}{P} \times 100$

Here $\frac{40 - P}{P} \times 100$ = 25

-->P = 32.

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Filed Under: Profit and Loss
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6 5900

Q:

28 Men and 52 women working together completes a work in 22.5 days. 35 men and 65 women working together on same work will complete it in how many days?

A) 16	B) 18
C) 19	D) 21

Answer & Explanation Answer: B) 18

Explanation:

Clearly total persons are increased in 28/35 :: 52/65 = 4:5.

As time is inversely proportional to men, so total time will decrease in the ratio 5:4.

Hence, 22.5 x 4/5 = 18 days.

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Filed Under: Time and Work
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10 5899

Q:

In how many ways can the letters of the word 'MISSISIPPI' be arranged ?

A) 12400	B) 11160
C) 16200	D) 12600

Answer & Explanation Answer: D) 12600

Explanation:

Total number of alphabets = 10

so ways to arrange them = 10!

Then there will be duplicates because 1st S is no different than 2nd S.

we have 4 Is 3 S and 2 Ps

Hence number of arrangements = 10!/4! x 3! x 2! = 12600

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Filed Under: Permutations and Combinations

0 5897

Q:

Maneela, Raghu and Aravind have some jems with each of them. Five times the number of jems with Raghu equals seven times the number of jems with Maneela while five times the number of jems with Maneela equals seven times the number of jems with Aravind. What is the minimum number of jems that can be there with all three of them put together ?

A) 108	B) 107
C) 109	D) 110

Answer & Explanation Answer: C) 109

Explanation:

From given data,

R : M = 5 : 7

M : A = 5 : 7

R : M : A = 25 : 35 : 49

25 + 35 + 49 = 109

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Filed Under: Ratios and Proportions
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15 5892

Q:

In what ratio must a merchant mix two varieties of oils worth Rs. 60/kg and Rs. 65/kg, so that by selling the mixture at Rs. 68.20/kg, he may gain 10% ?

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

Answer & Explanation Answer: D) 3:2

Explanation:

Let he mixes the oils in the ratio = x : y

Then, the cost price of the oils = 60x + 65y

Given selling price = Rs. 68.20

=> Selling price = 68.20(x+y)

Given profit = 10% = SP - CP

=> 10/100 (60x + 65y) = 68.20(x+y)-(60x + 65y)

=> 6x + 6.5y = 8.20x + 3.20y

=>2.2x = 3.3y

=> x : y = 3 : 2

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Filed Under: Alligation or Mixture
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17 5890

Q:

63.5% of 8924.2 +? % of 5324.4 = 6827.5862

A) 28	B) 22
C) 18	D) 12

Answer & Explanation Answer: B) 22

Explanation:

63.5% of 8924.2 +? % of 5324.4 = 6827.5862

=> 63.5% of 8925 + ? % of 5325 = 6830

=> 6830 ~= 5320 + ?(5325)/100

=> ? ~= 22

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Filed Under: Percentage
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6 5889

Q:

A began a business with Rs. 85000. He was joined afterwards by B with Rs. 42,500. For how much perod does B join, if the profits at the end of the year are divided in the ratio of 3:1 ?

A) 8 months	B) 6 months
C) 7 months	D) 9 months

Answer & Explanation Answer: A) 8 months

Explanation:

Suppose B joined for x months.

Given profit is divided in the ratio 3:1. Then,

$\frac{85000 \times 12}{42500 \times x} = \frac{3}{1}$

--> x = 8 months.

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Filed Under: Partnership
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6 5884

Q:

The greatest possible value of n could be $9^{n} < 10^{8}$ if, given that log 3 = 0.4771 and $n \in N$ :

A) 7	B) 8
C) 9	D) 10

Answer & Explanation Answer: B) 8

Explanation:

Taking Log to both sides

we get

n = 8

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Filed Under: Logarithms
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8 5880

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