6500+ Quantitative Aptitude Questions and Answers With Explanation

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

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Subject: Partnership

102 33111

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 33078

Q:

The number of diagonals in a decagon is:

A) 20	B) 10
C) 25	D) 35

Answer & Explanation Answer: D) 35

Explanation:

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Filed Under: Area
Exam Prep: Bank Exams

0 32998

Q:

At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?

A) 30 points	B) 20 points
C) 10 points	D) 12 points

Answer & Explanation Answer: C) 10 points

Explanation:

A : B = 60 : 45.

A : C = 60 : 40.

B/C = (B/A*A/C) = (45/60*60/45) = 45/40 = 90/80 = 90:80

B can give C 10 points in a game of 90.

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Filed Under: Races and Games

28 32988

Q:

What time between 4 and 5 o'clock will the hands of a clock be at rightangle?

A) 3 5/11	B) 4 5/11
C) 5 5/11	D) 6 5/11

Answer & Explanation Answer: C) 5 5/11

Explanation:

this type of problems the formulae is
(5*x + or -15)*(12/11)
Here x is replaced by the first interval of given time
here i.e 4
Case 1 : (5*x + 15)*(12/11)
(5*4 +15)*(12/11)
(20+15)*(12/11)
35*12/11=420/11=38 2/11 min.
Therefore they are right angles at 38 2/11 min .past4
Case 2 : (5*x-15)*(12/11)
(5*4-15)*(12/11)
(20-15)*(12/11)
5*12/11=60/11 min=5 5/11min
Therefore they are right angles at 5 5/11 min.past4.

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

49 32967

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
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

61 32955

Q:

From a container, 6 liters milk was drawn out and was replaced by water. Again 6 liters of mixture was drawn out and was replaced by the water. Thus the quantity of milk and water in the container after these two operations is 9:16. The quantity of mixture is:

A) 15	B) 16
C) 25	D) 31

Answer & Explanation Answer: A) 15

Explanation:

Let quantity of mixture be x liters.

Suppose a container contains x units of liquid from which y units are taken out and replaced by Water. After operations , the quantity of pure liquid = $x {(1 - \frac{y}{x})}^{n}$ units, Where n = no of operations .

So, Quantity of Milk = $x {(1 - \frac{6}{x})}^{2}$

Given that, Milk : Water = 9 : 16

=> Milk : (Milk + Water) = 9 : (9+16)

=> Milk : Mixture = 9 : 25

Therefore, $\frac{x {(1 - \frac{6}{x})}^{2}}{x} = \frac{9}{25}$

=> x = 15 liters

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Filed Under: Alligation or Mixture

67 32917

Q:

How many cubes of 3cm edge can be cut out of a cube of 18cm edge

A) 36	B) 232
C) 216	D) 484

Quantitative Aptitude - Arithmetic Ability Questions

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