6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Two letters are randomly chosen from the word TIME. Find the probability that the letters are T and M?

A) 1/4	B) 1/6
C) 1/8	D) 4

Answer & Explanation Answer: B) 1/6

Explanation:

Required probability is given by P(E) = $\frac{n (E)}{n (S)} = \frac{1}{4 C_{2}} = \frac{1}{6}$

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Filed Under: Probability
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20 8034

Q:

The Age of Ashok , Deepak and Ramu are in the proportion of 3:5:6. If the difference between the ages of Deepak and Ramu is 5 years . what is Ashok's age in years?

Answer

Suppose the ages of Ashok, Deepak and Ramu are 3x, 5x and 6x years respectively.

$6x-5x=5\: \: \Rightarrow x=5$

Hence , Ashok's age = $3x$ = $3\times 5$ = 15 years

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Subject: Problems on Ages

13 8032

Q:

The average age of Sita and Gita is 30 years. If Rita replaces Sita, then the average age will become 28 years and if Rita replaces Gita, then the average age will become 32 years. What are the respective ages (in years) of Sita, Gita and Rita?

A) 40, 44, 36	B) 44, 40, 36
C) 34, 26, 30	D) 30, 26, 34

Answer & Explanation Answer: C) 34, 26, 30

Explanation:

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

26 8023

Q:

In a mixture, the ratio of juice and water is 4 : 3. By adding 6 litre water the ratio of juice and water will be 8 : 7. What is the amount of juice in the original mixture ?

A) 38 lit	B) 96 lit
C) 48 lit	D) 52 lit

Answer & Explanation Answer: C) 48 lit

Explanation:

Let the amount of juice and water in original mixture '4x' litre and '3x' litre respectively.

According to given data,

4x/3x+6 =8/7

28x=24x+48

28x–24x=48

4x = 48

x = 12

Amount of juice = 4x = 4×12 = 48 litre.

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Filed Under: Alligation or Mixture
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7 8019

Q:

A number is selected from the numbers 1,2,3,4.......25.The probability for it to be divisible by 4 or 7 is:

A) 3/25	B) 9/25
C) 1/25	D) None of these

Answer & Explanation Answer: B) 9/25

Explanation:

Total numbers = 25

Numbers divisible by 4 or 7 are 4, 7, 8, 12, 14, 16, 20, 21, 24 = 9

The probability (divisible by 4 or 7) = 9/25

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Filed Under: Probability

3 8019

Q:

The present ages of Kavitha, Rajitha and Haritha are in the ratio of 4 : 7 : 9. Eight years ago, the sum of their ages was 56. Find their present ages (in years).

A) 16,36,28	B) 16,28,36
C) 20,35,45	D) 12,21,27

Answer & Explanation Answer: B) 16,28,36

Explanation:

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

33 8015

Q:

What are the Multiples of 6 and the Common Multiples of 4 and 6?

A) 12, 34, 42	B) 12, 18, 36,
C) 6, 4, 14	D) 4, 8, 16

Answer & Explanation Answer: B) 12, 18, 36,

Explanation:

The Multiples of 6 are 6, 12, 18, 24, 30, 36, 42, 48, 54, 60.

The Multiples of 4 are 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60.

The Common Multiples of 4 & 6 upto 60 numbers are given as 12, 24, 36, 48, 60.

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Filed Under: Problems on Numbers
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10 8011

Q:

Compound interest on a certain sum of money at 20% per annum for 2 years is Rs.5995. What is the SI on the same money at 8% per annum for 6 years ?

A) Rs. 5989	B) Rs. 6540
C) Rs. 7844	D) Rs. 6789

Answer & Explanation Answer: B) Rs. 6540

Explanation:

Given C.I = 5984, R = 20% , T = 2yrs

$C . I = P [(1 + {(\frac{20}{100})}^{2}) - 1]$

5984 = $C.I=P\left [ \left ( 1&amp;plus;\left ( \frac{20}{100}\right )^{2} \right )-1 \right ]$

=> P = (5995x25)/11

P = Rs. 13625

Now S.I = PTR/100

SI = (13625 x 8 x 6)/100 = Rs. 6540

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Filed Under: Compound Interest
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22 8010

Quantitative Aptitude - Arithmetic Ability Questions

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