6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

ΔABC is right angled at B. If cotA = 8/15, then what is the value of cosC ?

A) 15/8	B) 8/17
C) 17/15	D) 15/17

Answer & Explanation Answer: D) 15/17

Explanation:

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Q:

What percent of 7.2 kg is 18 gms ?

A) .25%	B) .5%
C) .75%	D) 1%

Answer & Explanation Answer: A) .25%

Explanation:

Required percentage = (18/7200 * 100)% = 1/4% = 0.25%

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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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Q:

If $\frac{x^{32} - 1}{x^{16}} = 5$ , then find the value of $\frac{x^{96} - 1}{x^{48}}$ .

A) 40	B) 70
C) 140	D) 180

Answer & Explanation Answer: C) 140

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Q:

Which of the following statements is/are true?

$I . 11 \frac{1}{2} + 17 \frac{3}{4} - 5 \frac{1}{5} - 2 \frac{1}{10} = \frac{439}{20} II . \frac{9}{1078} > \frac{11}{1127} > \frac{12}{1219} III . \frac{149}{151} > \frac{153}{155} > \frac{157}{159}$

A) Only I	B) Only II
C) Only III	D) None is true.

Answer & Explanation Answer: A) Only I

Explanation:

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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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Q:

Aman started a business investing Rs. 70,000. Rakhi joined him after six months with an amount of Rs. 1,05,000 and Sagar joined them with Rs. 1.4 lakhs after another six months. The amount of profit earned should be distributed in what ratio among Aman, Rakhi and Sagar respectively, 3 years after Aman started the business ?

A) 11 : 13 : 15	B) 11 : 13 : 17
C) 12 : 17 : 18	D) 12 : 15 :16

Answer & Explanation Answer: D) 12 : 15 :16

Explanation:

Aman : Rakhi : Sagar = (70000 x 36) : (105000 x 30) : (140000 x 24) = 12 : 15 : 16.

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Q:

A man sitting in a train which is traveling at 50 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. If the goods train is 280 m long, find its speed.?

A) 60	B) 62
C) 64	D) 65

Answer & Explanation Answer: B) 62

Explanation:

Relative speed =280/9 m / sec = (280/9*18/5) kmph = 112 kmph.

Speed of goods train = (112 - 50) kmph = 62 kmph.

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Quantitative Aptitude - Arithmetic Ability Questions

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