6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction ?

A) 8	B) 9
C) 10	D) 11

Answer & Explanation Answer: B) 9

Explanation:

Actual price = Rs. (25 + 2.50) = Rs. 27.50.

Saving = 2.50

Percentage Saving = [(2.50/27.50)*100]

= 2500/275

= $9 \frac{1}{11}$ %

$\approx 9$ %

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111 48193

Q:

If a=2b/3, b=2c/3, and c=2d/3, then find the ratio of b and d:

A) 8/9	B) 4/9
C) 4/3	D) 5/27

Answer & Explanation Answer: B) 4/9

Explanation:

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

3 48094

Q:

Find the odd one out.

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

Answer & Explanation Answer: B) 2

Explanation:

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Filed Under: Odd Man Out
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Q:

ΔABC is right angled at B. If m∠C = 45 deg, then find the value of (cosecA - √3).

A) (4-√3)/2	B) √2-√3
C) -√3/2	D) (√6-1)/√3

Answer & Explanation Answer: B) √2-√3

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 47944

Q:

$∆$ DEF is right angled at E. If m∠F = 60 deg, then find the value of (cotD - 2/√3).

A) 1 - √2	B) 1/√3
C) (2 - √3)/2√3	D) (2 - 2√3)/√3

Answer & Explanation Answer: B) 1/√3

Explanation:

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Exam Prep: Bank Exams

0 47914

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 47358

Q:

In the following question, select the odd letter/letters from the given alternatives.

A) EHL	B) JMP
C) SVY	D) QTW

Answer & Explanation Answer: A) EHL

Explanation:

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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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Job Role: Bank PO

103 47186

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