6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A box contains 5 green, 4 yellow and 5 white pearls. Four pearls are drawn at random. What is the probability that they are not of the same colour ?

A) 11/91

B) 4/11

C) 1/11

D) 90/91

A) Option A	B) Option B
C) Option C	D) Option D

Answer & Explanation Answer: D) Option D

Explanation:

Let S be the sample space. Then,
n(s) = number of ways of drawing 4 pearls out of 14

= $C_{4}^{14}$ ways = $\frac{14 \times 13 \times 12 \times 11}{4 \times 3 \times 2 \times 1}$ = 1001

Let E be the event of drawing 4 pearls of the same colour.
Then, E = event of drawing (4 pearls out of 5) or (4 pearls out of 4) or (4 pearls out of 5)

$\Rightarrow C_{1}^{5} + C_{4}^{4} + C_{1}^{5}$ = 5+1+5 =11

P(E) = $\frac{n (E)}{n (S)} = \frac{11}{1001} = \frac{1}{91}$

Required probability = $1 - \frac{1}{91} = \frac{90}{91}$

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Filed Under: Permutations and Combinations
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8 4674

Q:

The ratio between present ages of Renuka and Sony is 5 : 4 . 4 years ago, Sony's age was 24 years. What will be Renuka's age after 5 years ?

A) 25	B) 30
C) 35	D) 40

Answer & Explanation Answer: D) 40

Explanation:

Present age of Sony = 24 + 4 = 28 years

After 5 years Renuka's age = 7×5 + 5 = 40 years

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Filed Under: Problems on Ages
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8 4672

Q:

Find the LCM of the following fractions:

2/3, 8/9, 16/27, 32/81

A) 32/81	B) 81/32
C) 32/3	D) 11/41

Answer & Explanation Answer: C) 32/3

Explanation:

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Filed Under: HCF and LCM
Exam Prep: Bank Exams

4 4672

Q:

Find the Odd one out of the following Numbers?

A) 3	B) 19
C) 67	D) 133

Answer & Explanation Answer: D) 133

Explanation:

Here among the given numbers, 3, 19, 67 are prime numbers. And 133 is not a prime number.

Hence, the odd number of the given numbers is 133.

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Filed Under: Odd Man Out
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3 4669

Q:

$\frac{3 + \sqrt{6}}{5 \sqrt{3} - 2 \sqrt{12} - \sqrt{30} + \sqrt{50}} = ?$

A) 3	B) 3sqrt{2}
C) 6	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

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Filed Under: Square Roots and Cube Roots
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22 4668

Q:

There are two numbers such that the sum of twice the first number and thrice the second number is 300 and the sum of thrice the first number and twice the second number is 265. Which is the largest number ?

A) 24	B) 39
C) 85	D) 74

Answer & Explanation Answer: D) 74

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
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14 4667

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 4653

Q:

It is given that log10 2= 0.301 and log10 3 = 0.477. How many digits are there in ${(108)}^{10}$ ?

A) 19	B) 20
C) 21	D) 22

Quantitative Aptitude - Arithmetic Ability Questions

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