6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

ΔXYZ is right angled at Y. If m∠X = 45°, then find the value of (cosecZ + √3/2).

A) (2√2+√3)/2	B) 5/6
C) (1+2√3)/2	D) (√2+1)/√2

Answer & Explanation Answer: A) (2√2+√3)/2

Explanation:

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1 47095

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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Filed Under: Percentage
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3 47033

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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272 47004

Q:

What is the simplified value of

$\frac{1}{\sqrt{17} - \sqrt{16}} - \frac{1}{\sqrt{16} - \sqrt{15}} + \frac{1}{\sqrt{15} - \sqrt{14}} - \frac{1}{\sqrt{14} - \sqrt{13}} + \frac{1}{\sqrt{13} - \sqrt{12}}$ ?

A) 4 – 2√3	B) √17 – 3√2
C) √17 + √12	D) 4 + 2√3

Answer & Explanation Answer: C) √17 + √12

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Q:

A parallelogram has sides 30m and 14m and one of its diagonals is 40m long. Then its area is

A) 136	B) 236
C) 336	D) 436

Answer & Explanation Answer: C) 336

Explanation:

let ABCD be the given parallelogram

area of parallelogram ABCD = 2 x (area of triangle ABC)

now a = 30m, b = 14m and c = 40m

s=1/2 x (30+14+40) = 42

Area of triangle ABC = $\sqrt{[s (s - a) (s - b) (s - c)]}$

= $\sqrt{[42 (12) (28) (2)]}$ = 168sq m

area of parallelogram ABCD = 2 x 168 = 336 sq m

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Filed Under: Area
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103 46862

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:

The length of a rectangle is halved, while its breadth is tripled. What is the percentage change in area?

A) 20%	B) 30%
C) 40%	D) 50%

Answer & Explanation Answer: D) 50%

Explanation:

Let original length = x and original breadth = y.

Original area = xy.

New length = x/2 and New breadth=3y

New area = $\frac{3}{2} x y$

Therefore, Increase in area = New area-original area = $\frac{3}{2} x y - x y = \frac{1}{2} x y$

Therefore, Increase % = $\frac{i n c r e a s e i n a r e a}{o r i g i n a l a r e a} * 100 = (\frac{\frac{1}{2} x y}{x y}) * 100 = 50$ %

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Q:

ΔPQR is right angled at Q. If m∠P = 60 deg, then find the value of (cotR + √3/2).

A) 3√3/2	B) 1+√3
C) (2√2+1)/2	D) (3√3+1)/6

Quantitative Aptitude - Arithmetic Ability Questions

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