6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Sandeep got Rs. 6000 as his share out of the total profit of Rs. 9000 which he and Saketh earned at the end of one year. If Sandeep invested Rs. 20000 for 6 months, whereas Saketh invested his amount for the whole year, the amount invested by Saketh?

A) Rs. 5000	B) Rs. 6200
C) Rs. 8100	D) R. 7600

Answer & Explanation Answer: A) Rs. 5000

Explanation:

Let the amount invested by saketh = RS. p

Now, that of sandeep = 20,000 x 6

saketh = 12 x p

Ratio of their earnings = 120000 : 12p = 6000 : (9000 - 6000)

=> $\frac{120000}{12 p} = \frac{6000}{3000} = > p = Rs . 5000$

Hence, the amount investe by saketh = Rs. p = Rs. 5000.

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Filed Under: Partnership
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13 6019

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 5993

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 5993

Q:

In what time a debt of Rs.7920 due may be cleared by immediate cash down payment of Rs.3600 at 1/2% per month

A) 10years	B) 20years
C) 30years	D) 40years

Answer & Explanation Answer: B) 20years

Explanation:

PW = $\frac{100 \times A m o u n t}{100 + (R \times T)}$

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Filed Under: True Discount
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6 5982

Q:

Find the compound interest on Rs.16,000 at 20% per annum for 9 months, compounded quartely.

A) Rs.2522	B) Rs.2422
C) Rs.3522	D) Rs.2322

Answer & Explanation Answer: A) Rs.2522

Explanation:

Principal = Rs.16,000;

Time=9 months = 3 quarters;

Amount

=Rs.[16000x(1+5/100)³] =[16000x21/20x21/20x21/20]

= Rs.18522.

C.I

= Rs.(18522 - 16000)

= Rs.2522.

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Filed Under: Compound Interest
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0 5978

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 5978

Q:

A boat can move 5 km/hr in still water. If the river is running at 1 km/hr, it takes it 75 min to move to a place and back. How far is the place?

A) 3 kms	B) 5 kms
C) 6 kms	D) 4 kms

Answer & Explanation Answer: A) 3 kms

Explanation:

Let the place be at a distance of 'd' kms

From the given data,

$\frac{d}{5 - 1} + \frac{d}{5 + 1} = \frac{75}{60} kms \frac{d}{4} + \frac{d}{6} = \frac{5}{4}$

5d/12 = 5/4 => d = 3 kms.

Hence, the place is 3 kms far.

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Filed Under: Boats and Streams
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21 5972

Q:

Akhil after travelling 50 km meets Raju who suggests him to go slower. He then proceeds at ¾ of his former speed and arrives at his destination 35 minutes late. Had the meeting occurred 24 km further Akhil would have reached its destination 25 minutes late. What is the initial speed of Akhil?

A) 48 kmph	B) 36 kmph
C) 24 kmph	D) 20 kmph

Answer & Explanation Answer: A) 48 kmph

Explanation:

Let the initial speed of Akhil be '4p' kmph

Then speed after decrease in speed = '3p' kmph

We know that,

Change in speed == Change in time

According to the given data,

$\frac{24}{3 p} - \frac{24}{4 p} = \frac{35 - 25}{60} = > p = 12$

Hence, the initial speed of Akhil = 4p = 4 x 12 = 48 kmph.

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Filed Under: Time and Distance
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14 5969

Quantitative Aptitude - Arithmetic Ability Questions

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