6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

What is 85 of 352?

A) 21.5%	B) 24.14%
C) 23.68%	D) 25.47%

Answer & Explanation Answer: B) 24.14%

Explanation:

Here 85 of 352 => 85 is what percent in 352

Let p% of 352 is 85

Percentage(%) is generally calculated in the total of 100.

=> p x 352/100 = 85

=> p = 8500/352 = 24.14%

Hence, 85 is 24.14% of 352.

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Filed Under: Percentage
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4 5627

Q:

One card is drawn from a pack of 52 cards,each of the 52 cards being equally likely to be drawn.Find the probability that the ball drawn is an ace :

A) 1/13	B) 1/12
C) 1/14	D) 1/15

Answer & Explanation Answer: A) 1/13

Explanation:

Total number of events=52

Number of aces =4

So,required probability = 4/52 =1/13

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Filed Under: Probability

4 5622

Q:

When John arrives in New York,he has eight stops to see, but he has time only to visit six of them.In how many different ways can he arrange his schedule in New York?

A) 20610	B) 24000
C) 20160	D) 21000

Answer & Explanation Answer: C) 20160

Explanation:

He can arrange his schedule in $8 P_{6}$ = 20160 ways

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Filed Under: Permutations and Combinations

1 5620

Q:

$\frac{\frac{7}{2} \div \frac{5}{2} \times \frac{3}{2}}{\frac{7}{2} \div \frac{5}{2} o f \frac{3}{2}} \div 5.25$

A) 3/5	B) 3/6
C) 3/7	D) 3/8

Answer & Explanation Answer: C) 3/7

Explanation:

$\frac{\frac{7}{5} x \frac{3}{2}}{\frac{14}{15}} \div \frac{525}{100} \frac{9}{4} \div \frac{525}{100} \frac{900}{2100} = \frac{3}{7}$

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Filed Under: Simplification
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1 5616

Q:

Present ages of Deepa and Hyma are in the ratio of 5:6 respectively. After four years, this ratio becomes 6: 7. What is the difference between their present ages?

A) 6 yrs	B) 4 yrs
C) 8 yrs	D) 2 yrs

Answer & Explanation Answer: B) 4 yrs

Explanation:

Let the present age of Deepa = 5p

Let the present age of Hyma = 6p

After four years their ratio = 6 : 7

=> $\frac{5 p + 4}{6 p + 4} = \frac{6}{7}$

=> 35p + 28 = 36p + 24

=> p = 4

Therefore, the difference between their ages = 24 - 20 = 4 years.

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Filed Under: Problems on Ages
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12 5612

Q:

At what rate percent on simple interest will Rs.415 amount to Rs.514 in 4 years ?

A) 4.58 %	B) 5.96 %
C) 6.52 %	D) 4.98 %

Answer & Explanation Answer: B) 5.96 %

Explanation:

Difference in amount = 514 - 415 = 99

99 = (415 x 4 x R)/100

R = 5.96%

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Filed Under: Simple Interest
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5 5611

Q:

Vishal and Raghu jointly started a business. Vishal invested three times as Raghu did and invested his money for double time as compared to Raghu. Raghu earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was ?

A) Rs. 28,000	B) Rs. 18,000
C) Rs. 14,000	D) Rs. 8,000

Answer & Explanation Answer: A) Rs. 28,000

Explanation:

Investments ratio is = 3:1
Time period ratio is = 2:1

As they are proportional to gain

------
Gain ratio of Vishal and raghu = 6:1

But given Raghu got Rs. 4000,

=? 1 ----- 4000
7 ----- ?

=> Rs.28,000

The total gain = Rs.28,000

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Filed Under: Partnership
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4 5610

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 5609

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