6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If the value of $θ = 30 °$ , then the value of $\tan^{2} θ + \cot^{2} θ$ .

A) 1/3	B) 4/3
C) 9/3	D) 10/3

Answer & Explanation Answer: D) 10/3

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1 47499

Q:

Assume 57 + 59 + 109 = 0, then find the value of $57^{3} + 59^{3} + 109^{3}$

A) 1099701	B) 1099601
C) 1099801	D) 1098701

Answer & Explanation Answer: A) 1099701

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0 47460

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 47427

Q:

If 60% of a number is added to 60, then the result is equal to the number itself. What is the number?

A) 150	B) 120
C) 100	D) 180

Answer & Explanation Answer: A) 150

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Filed Under: Percentage
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4 47401

Q:

Solve the following :

$72 \div \frac{1}{2} {15 + 12 - (9 + 6 - \bar{5 + 7})} = ?$

A) 6	B) 9
C) 12	D) 8

Answer & Explanation Answer: A) 6

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1 47225

Q:

A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes 7 : 9. How many litres of liquid A was contained by the can initially?

A) 10	B) 20
C) 21	D) 25

Answer & Explanation Answer: C) 21

Explanation:

Suppose the can initially contains 7x and 5x litres of mixtures A and B respectively

Quantity of A in mixture left = $(7 x - \frac{7}{12} \times 9) = (7 x - \frac{21}{4})$ litres.

Quantity of B in mixture left = $(5 x - \frac{5}{12} \times 9) = (5 x - \frac{15}{4})$ litres.

$\frac{(7 x - \frac{21}{4})}{(5 x - \frac{15}{4}) + 9} = \frac{7}{9}$

$\Rightarrow \frac{28 x - 21}{20 x + 21} = \frac{7}{9}$

$\Rightarrow x = 3$

So, the can contained 21 litres of A.

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Filed Under: Alligation or Mixture

272 47128

Q:

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

A) 2	B) 1
C) 1/2	D) √3/2

Answer & Explanation Answer: B) 1

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Q:

What is the value of $\sqrt{1054 + \sqrt{196} + \sqrt{169} + \sqrt{64}}$ ?

A) 33	B) 37
C) 29	D) 31

Quantitative Aptitude - Arithmetic Ability Questions

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