6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A Woman’s downstream swimming rate is thrice of her upstream swimming rate. If she covers 12 km upstream in 2.5 hours, what distance she will cover in 5 hours downstream?

A) 72 km	B) 36 km
C) 56 km	D) 42 km

Answer & Explanation Answer: A) 72 km

Explanation:

Rate of her upstream = 12/2.5 = 4.8 km/hr

Then, ATQ

Rate of downstream = 4.8 x 3 = 14.4 km/hr

Hence, the distance she covers downstream in 5 hrs = 14.4 x 5 = 72 kms.

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Filed Under: Boats and Streams
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17 5194

Q:

Sharan and Mayukh, working together, can complete a task in 18 days. However, Mayukh works alone and leaves after completing 1/3 of the task. Then, Sharan takes over and completees the remaining work by himself. As a result, the duo could complete the task in 40 days. How many days would Sharan alone have taken to do the job if Mayuk' had worked faster than Sharan ?

A) 24	B) 45
C) 72	D) 30

Answer & Explanation Answer: B) 45

Explanation:

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Filed Under: Time and Work
Exam Prep: Bank Exams

16 5192

Q:

Total 100 members are writing exam. In that 48 members are writing first exam, 45 members are writing second exam and 38 members are writing third exam. 5 members are writing all the three exams. How many members are writing 2 exams ?

A) 26	B) 23
C) 27	D) 21

Answer & Explanation Answer: D) 21

Explanation:

Total number of exams written by 100 students = 48 + 45 + 38 = 131
Now let us say x members are writing only 1 exam, y members are writing only 2 exams, z members are writing only 3 exams.
Therefore, x + 2y + 3z = 131 also x + y + z = 100.
Given that z = 5. So x + 2y = 116 and x + y = 95.
Solving we get y = 21.
So 21 members are writing exactly 2 exams.

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Filed Under: Problems on Numbers
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6 5181

Q:

Mr. Rajan invested Rs 1,00,000 in US Stock Markets when the GBPINR rate was 75. After one year his investment appreciated by 20% in GBP terms. He sold of his investments and repatriated the money to India at the then existing rate of 80. what was real returns in INR?

A) loss of 24%	B) gain of 28%
C) loss of 28%	D) gain of 20%

Answer & Explanation Answer: B) gain of 28%

Explanation:

Money invested by Rajan before 1 year was = Rs. 100000

Money in UK pounds @ 75 is = 100000/75 = 1333.33 Pounds

Now, after 1 year invested amount was appreciated by 20%

=> 20% of 1333.33 = 266.66

Total investment becomes = 1333.33 + 266.66 = 1600 Pounds

This 1600 Pounds @ Indian currency at 80 = 1600 x 80 = Rs. 1,28,000

Hence, Rajan's investment of Rs. 1,00,000 becomes Rs. 1,28,000 in 1 year

Therefore, his profit % = [(128000 - 100000)/100000] x 100 = 28%.

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Filed Under: Profit and Loss
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9 5176

Q:

Tanks A and B are each in the shape of a right circular cylinder. The interior of tank A has a height of 10 meters and a circumference of 8 meters, and the interior of tank B has a height of 8 meters and a circumference of 10 meters. The capacity of tank A is what percent of the capacity of tank B ?

A) 76%	B) 72%
C) 80%	D) 82%

Answer & Explanation Answer: C) 80%

Explanation:

circumference of A = $2 πr$ = 8 => so r = $\frac{4}{π}$
volume = $π \times {(\frac{4}{π})}^{2} \times 10$ = $\frac{160}{π}$
circumference of B = $2 πr$ = 10 => so r = $\frac{5}{π}$
volume = $π \times {(\frac{5}{π})}^{2} \times 8$ = $\frac{200}{π}$
so ratio of capacities = 160/200 = 0.8
so capacity of A will be 80% of the capacity of B.

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Filed Under: Percentage
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3 5174

Q:

Which of the following could not be the lengths of the sides of a right angled triangle?

A) 3, 4, 5	B) 5, 12, 13
C) 8, 15, 17	D) 12, 15, 18

Answer & Explanation Answer: D) 12, 15, 18

Explanation:

Using Pythagoras theorem we can see that 12² + 15² is not equal to 18²
Neither is 10² + 24² = 25²

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Filed Under: Ratios and Proportions
Exam Prep: GRE

3 5172

Q:

In an examination, a student scores 4 marks for every correct answer and loses I mark for every wrong answer. If he attempts in all 60 questions and secures 130 marks, the number of questions he attempts correctly, is:

A) 35	B) 38
C) 40	D) 42

Answer & Explanation Answer: B) 38

Explanation:

Let the number of correct answers be X.

Number of incorrect answers = (60 – X).

Therefore, 4x – (60 – x) = 130

=> 5x = 190 => x = 38

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Filed Under: Simplification

2 5168

Q:

There are 26 balls marked with alphabetical order A to Z. What is the probability of selecting vowels listed balls?

A) 1	B) 21/26
C) 5/26	D) 5

Answer & Explanation Answer: C) 5/26

Explanation:

We know that,

Total number of balls n(S) = 26

Number of vowels n(E) = 5

Hence, required probability = n(E)/n(S) = 5/26.

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Filed Under: Probability
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44 5166

Quantitative Aptitude - Arithmetic Ability Questions

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