6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

If the numerator of a fraction is increased by 150% and the denominator of the fraction is increased by 350%, the resultant fraction is 25/51. What is the original fraction ?

A) 31/25	B) 15/17
C) 14/25	D) 11/16

Answer & Explanation Answer: B) 15/17

Explanation:

The original fraction is $\frac{25}{51} \times (\frac{350 + 100}{150 + 100})$ = 15/17.

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Filed Under: Percentage
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61 33825

Q:

The ratio of petrol and kerosene in the container is 3:2 when 10 liters of the mixture is taken out and is replaced by the kerosene, the ratio become 2:3. Then total quantity of the mixture in the container is:

A) 25	B) 30
C) 45	D) cannot be determined

Answer & Explanation Answer: B) 30

Explanation:

pool : kerosene

3 : 2(initially)

2 : 3(after replacement)

$\frac{R e m a i n i n g Q u a n t i t y}{I n i t i a l Q u a n t i t y} = (1 - \frac{R e p l a c e d Q u a n t i t y}{T o t a l Q u a n t i t y})$

(for petrol) $\frac{2}{3} = (1 - \frac{10}{k})$

=> K = 30

Therefore the total quantity of the mixture in the container is 30 liters.

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Filed Under: Alligation or Mixture

83 33820

Q:

A and B can do a piece of work in 30 days , while B and C can do the same work in 24 days and C and A in 20 days . They all work together for 10 days when B and C leave. How many days more will A take to finish the work?

A) 18 days	B) 24 days
C) 30 days	D) 36 days

Answer & Explanation Answer: A) 18 days

Explanation:

2(A+B+C)'s 1 day work = 1/30 + 1/24 + 1/20 = 1/8

=>(A+B+C)'s 1 day's work= 1/16

work done by A,B and C in 10 days=10/16 = 5/8

Remaining work= 3/8

A's 1 day's work= $(\frac{1}{16} - \frac{1}{24}) = \frac{1}{48}$

Now, 1/48 work is done by A in 1 day.

So, 3/8 work wil be done by A in =48 x (3/8) = 18 days

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Filed Under: Time and Work

138 33798

Q:

Two partners investede Rs. 1250 and Rs. 850 respectively in a business. They distributed 60% of the profit equally and decide to distribute the remaining 40% as the ratio of their capitals. If one partner received Rs. 30 more than the other, find the total profit?

Answer

Let the total profit be Rs.x

60% of the profit = $\inline \frac{60}{100}\times x=Rs.\frac{3x}{5}$

from this part of the profit each gets = Rs. $\inline \frac{3x}{10}$

40% of the profit = $\inline \frac{40}{100}\times x=Rs.\frac{2x}{5}$

Now, this amount of Rs. $\inline \frac{2x}{5}$ has been divided in the ratio of capitals 1250 : 850 = 25 :17

$\inline \therefore$ Share on first capital = $\inline (\frac{2x}{5}\times \frac{25}{42})=Rs.\frac{5x}{21}$

Share on second capital = $\inline (\frac{2x}{5}\times \frac{17}{42})=Rs.\frac{17x}{105}$

Total money received by 1st investor = $\inline [\frac{3x}{10}+\frac{5x}{21}]= Rs.\frac{113x}{210}$

Total money received by 2nd investor = $\inline [\frac{113x}{210}+\frac{97x}{210}]=Rs.\frac{97x}{210}$

$\inline \therefore$ x = 393.75

Hence total profit = Rs. 393.75

Workspace

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Subject: Partnership

102 33621

Q:

The angle between the minute hand and the hour hand of a clock when the time is 8:30

A) 80 Degrees	B) 75 Degrees
C) 60 Degrees	D) 105 Degrees

Answer & Explanation Answer: B) 75 Degrees

Explanation:

Angle traced by hour hand in 17/2 hrs = ${(\frac{360}{12} \times \frac{17}{2})}^{o}$ = 255

Angle traced by min hand in 30 min = ${(\frac{360}{60} \times 30)}^{o}$ = 180

Therefore, Required angle = (255 - 180) = $75^{o}$

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Filed Under: Clocks

76 33573

Q:

A batsman in his 17th innings makes a score of 85 and their by increasing his average by 3. What is his average after the 17th innings ?

A) 34	B) 36
C) 35	D) 37

Answer & Explanation Answer: D) 37

Explanation:

16x + 85 = 17(x + 3)

x = 34 + 3 = 37

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Filed Under: Average
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41 33568

Q:

How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall 8m x 6m x 22.5m

A) 5600	B) 600
C) 6400	D) 7200

Answer & Explanation Answer: C) 6400

Explanation:

No. of bricks= volume of the wall/volume of 1 brick

= (800 x 600 x 22.5) / (25 x 11.25 x 6) = 6400

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

62 33418

Q:

On a sum of money, the simple interest for 2 years is Rs. 660,while the compound interest is Rs.696.30,the rate of interest being the same in both the cases. The rate of interest is

A) 10%	B) 11%
C) 12%	D) 13%

Answer & Explanation Answer: B) 11%

Explanation:

Difference in C.I and S.I for 2 years

= Rs(696.30-660)

=Rs. 36.30.

S.I for one years = Rs330.

S.I on Rs.330 for 1 year =Rs. 36.30

Rate

= (100x36.30/330x1)%

= 11%

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

42 33395

Quantitative Aptitude - Arithmetic Ability Questions

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