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

101 32547

Q:

If ${(\frac{5}{7})}^{4 x} . {(\frac{7}{5})}^{3 x - 1} = {(\frac{7}{5})}^{6}$ , then find the value of x which satisfies the equation.

A) -1	B) -7
C) 1	D) 7

Answer & Explanation Answer: B) -7

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

0 32544

Q:

Two trains started at the same time, one from A to B and the other from B to A . If they arrived at B and A respectively 4 hours and 9 hours after they passed each other the ratio of the speeds of the two trains was

A) 2:1	B) 3:2
C) 4:3	D) 5:4

Answer & Explanation Answer: B) 3:2

Explanation:

Note : If two trains (or bodies) start at the same time from points A and B towards each other and after crossing they take a and b sec in reaching B and A respectively, then: (A's speed) : (B's speed) = (b : a)

Therefore, Ratio of the speeds of two trains = $\sqrt{9} : \sqrt{4}$ = 3 : 2

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Filed Under: Problems on Trains
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

76 32522

Q:

Find the next number in the given number series?

35, 36, 55, 111, ?

A) 278.5	B) 264.5
C) 212.5	D) 202

Answer & Explanation Answer: A) 278.5

Explanation:

The given number series is 35, 36, 55, 111, ?

35

35 x 1 + 1 = 36

36 x 1.5 + 1 = 55

55 x 2 + 1 = 111

111 x 2.5 + 1 = 278.5

Hence, the next number in the given number series is 278.5.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO , Database Administration , IT Trainer

2 32510

Q:

Find the wrong number in the given number series?

10, 21, 54, 109, 189

A) 189	B) 109
C) 54	D) 21

Answer & Explanation Answer: A) 189

Explanation:

The given number series is 10, 21, 54, 109, 189

The series follows a pattern that

10 + 11 = 21

21 + 33 = 54

54 + 55 = 109

109 + 77 = 186

Hence the wrong number in the given number series is 189.

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

5 32463

Q:

Find the unit place digit in the expression ${(159)}^{144} + {(114)}^{123} - {(110)}^{510} + {(213)}^{25}$

A) 3	B) 4
C) 7	D) 8

Answer & Explanation Answer: D) 8

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

1 32463

Q:

In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 35 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class ?

A) 25	B) 50
C) 75	D) 100

Answer & Explanation Answer: C) 75

Explanation:

Let the number of students in the class be 100 and let this required average be x.

Then, (10 * 95) + (20 * 90) + (70 * x) = (100 * 80)

=> 70x = 8000 - (950 + 1800) = 5250

=> x = 75.

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Filed Under: Percentage

113 32455

Q:

A father left a will of Rs.35 lakhs between his two daughters aged 8.5 and 16 such that they may get equal amounts when each of them reach the age of 21 years. The original amount of Rs.35 lakhs has been instructed to be invested at 10% p.a. simple interest. How much did the elder daughter get at the time of the will?

A) 17.5 lakhs	B) 21 lakhs
C) 15 lakhs	D) 20 lakhs

Answer & Explanation Answer: B) 21 lakhs

Explanation:

Let Rs.x be the amount that the elder daughter got at the time of the will. Therefore, the younger daughter got (3,500,000 - x).

The elder daughter’s money earns interest for (21 - 16) = 5 years @ 10% p.a simple interest.

The younger daughter’s money earns interest for (21 - 8.5) = 12.5 years @ 10% p.a simple interest.

As the sum of money that each of the daughters get when they are 21 is the same,

$x + \frac{5 * 10 * x}{100} = (3, 500, 000 - x) + \frac{12.5 * 10 * (3, 500, 000 - x)}{100}$

$x + \frac{50}{x} = 3, 500, 000 - x + \frac{125}{100} * 3, 500, 000 - \frac{125 x}{100}$

$2 x + \frac{50 x}{100} + \frac{125 x}{100} = 3, 500, 000 * (1 + \frac{5}{4})$

$\frac{200 x + 50 x + 125 x}{100} = \frac{9}{4} * (3, 500, 000)$

=> $x = 2, 100, 000 = 21 l a k h s$

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Filed Under: Simple Interest
Exam Prep: GRE

56 32451

Quantitative Aptitude - Arithmetic Ability Questions

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