6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A shopkeeper offers the following 3 schemes. Which scheme has the maximum discount percentage?

I. Two successive discount of 20% and 25%

II. Buy 5 get 3 free

III. Buy 5 get 6

A) Only II	B) Only I
C) Only I and II	D) Only I and III

Answer & Explanation Answer: B) Only I

Explanation:

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Q:

Three unbiased coins are tossed.What is the probability of getting at least 2 heads?

A) 1/4	B) 1/2
C) 3/4	D) 1/3

Answer & Explanation Answer: B) 1/2

Explanation:

Here S= {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}.

Let E = event of getting at least two heads = {THH, HTH, HHT, HHH}.

P(E) = n(E) / n(S)

= 4/8= 1/2

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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

Explanation:

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Q:

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

I. (√11 + √2) > (√8 + √5)

II. (√10 + √3) > (√7 + √6

A) Only I	B) Only II
C) Neither I nor II	D) Both I and II

Answer & Explanation Answer: C) Neither I nor II

Explanation:

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Q:

A card is drawn from a pack of 52 cards. The probability of getting a queen of club or a

king of heart is:

A) 2/13	B) 1/13
C) 1/26	D) 1/52

Answer & Explanation Answer: C) 1/26

Explanation:

Here, n(S) = 52.

Let E = event of getting a queen of club or a king of heart.

Then, n(E) = 2.

P(E) =n(E)/n(S)=2/52=1/26.

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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

Explanation:

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Q:

An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

A) 1.04	B) 2.04
C) 3.04	D) 4.04

Answer & Explanation Answer: D) 4.04

Explanation:

100 cm is read as 102 cm.

A1 = (100*100)Sq.cm

A2 = (102*102)Sq.cm

(A2 - A1) = $102^{2} - 100^{2}$ = (102 + 100) x (102 - 100) = 404 sq.cm.

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Q:

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

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

Quantitative Aptitude - Arithmetic Ability Questions

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