6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A student was asked to find the arithmetic mean of the numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. What should be the number in place of x ?

A) 6	B) 7
C) 8	D) 9

Answer & Explanation Answer: B) 7

Explanation:

Clearly, we have (3 + 11 + 7 + 9 + 15 + 13 + 8 + 19 + 17 + 21 + 14 + x) / 12 = 12.

or 137 + x = 144 or x = 144 - 137 = 7.

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37 29826

Q:

In a scheme, a pack of three soaps with MRP Rs.45 is available for Rs.42. If it still gives a profit of 5% to the shopkeeper, then the cost price of the pack is ?

A) 38	B) 39
C) 40	D) 41

Answer & Explanation Answer: C) 40

Explanation:

Given M.P=45,S.P=42, Profit = 0.05

Let C.P=x , Then

Profit = (42-x)/x = 0.05
=> x = 40.

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Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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57 29800

Q:

If $\sqrt{15 \sqrt{15 \sqrt{15 \sqrt{15 \sqrt{15 . . . . . . . \infty}}}}}$ and x > 0, then find the value of $x^{2} + 4$ .

A) 125	B) 179
C) 200	D) 229

Answer & Explanation Answer: D) 229

Explanation:

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0 29788

Q:

By selling an article at Rs.800, a shopkeeper makes a profit of 25%.At what price should he sell the article so as to make a loss of 25%?

A) Rs.720	B) Rs.640
C) Rs.540	D) Rs.480

Answer & Explanation Answer: D) Rs.480

Explanation:

SP = Rs.800 ; Profit = 25%

$C P = S P x \frac{100}{100 + P %} = 800 x \frac{100}{100 + 25} = 640$

Now, CP = Rs.640

Loss = 25% = 25% of Rs.640 = Rs.160

Thus, SP = CP - Loss = Rs.640 - Rs.160 = Rs.480

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Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk

42 29786

Q:

A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of the family ?

A) 31( 5/7)	B) 32 (6/7)
C) 34(4/7)	D) 35(4/9)

Answer & Explanation Answer: A) 31( 5/7)

Explanation:

Required average = (67 * 2 + 35 * 2 + 6 * 3) / (2 + 2 + 3)

= (134 + 70 + 18) / 7 = 222 / 7 = 31(5/7) years.

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13 29776

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

Explanation:

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1 29635

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:

Which of the following statement(s) is/are TRUE?

$I . \sqrt{12} > \sqrt[3]{16} > \sqrt[4]{24} II . \sqrt[3]{25} > \sqrt[4]{32} > \sqrt[6]{48} III . \sqrt[4]{9} > \sqrt[3]{15} > \sqrt[6]{24}$

A) Only I and II	B) Only I and III
C) Only I	D) All are true.

Quantitative Aptitude - Arithmetic Ability Questions

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