6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

Calculate the value of x if $\sqrt{1 - (\frac{x}{289})} = \frac{15}{17}$

A) 64	B) 44
C) 36	D) 54

Answer & Explanation Answer: A) 64

Explanation:

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Filed Under: Simplification
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0 39680

Q:

For how many positive integers 'n', $n^{3} - 8 n^{2} + 20 n - 13$ is a prime?

A) 3	B) 2
C) 5	D) 7

Answer & Explanation Answer: A) 3

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2 39621

Q:

If $a = \sqrt{5 + 2 \sqrt{2}} & b = \sqrt{5 - 2 \sqrt{2}}$ , then find the value of $a^{2} - b^{2}$ .

A) 2	B) 4
C) 2√2	D) 4√2

Answer & Explanation Answer: D) 4√2

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0 39597

Q:

A mixture of 150 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture?

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

Answer & Explanation Answer: A) 10 liters

Explanation:

Number of liters of water in 125 liters of the mixture = 20% of 150 = 1/5 of 150 = 30 liters

Let us Assume that another 'P' liters of water are added to the mixture to make water 25% of the new mixture. So, the total amount of water becomes (30 + P) and the total volume of the mixture becomes (150 + P)

Thus, (30 + P) = 25% of (150 + P)

Solving, we get P = 10 liters

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Filed Under: Alligation or Mixture

149 39563

Q:

What is the value of 'x' in $2 \sqrt{3 x} - 5 \sqrt{27 x} + \sqrt{108 x} = - 21 ?$

A) 0.33	B) 1
C) 3	D) 9

Answer & Explanation Answer: C) 3

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0 39533

Q:

Find the missing number in the given number series?

5 11 21 44 ? 175

A) 86	B) 78
C) 94	D) 102

Answer & Explanation Answer: A) 86

Explanation:

Here the given number series is 5 11 21 44 ? 175

Now the given series follows a pattern, that

x2 + 1, x2 - 1, x2 + 2, x2 - 2, x2 + 3, x2 - 3,...

Then the missing number is x2 - 2

= 44 x 2 - 2 = 88 - 2 = 86

Hence, the missing number in the number series is 86.

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Filed Under: Odd Man Out
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2 39527

Q:

If $a^{2} + \frac{1}{a^{2}} = 3, then a^{3} + \frac{1}{a^{3}} = ?$

A) 3√5	B) 2√5
C) 2√3	D) 3√3

Answer & Explanation Answer: B) 2√5

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0 39514

Q:

${Cos}^{2} 90^{°} + {Cosec}^{2} 90 ° - {Cot}^{2} 45^{°} = ?$

A) 2	B) 1
C) 1/2	D) √3/2

Quantitative Aptitude - Arithmetic Ability Questions

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