6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

The average of 9 results is 50. The average of first four results is 52 and average of last four results is 49 . what is the fifth result?

Answer

Total of results = 50 x 9 = 450

Total of first four results = 52 x 4 = 208

Total of Last four results = 49 x 4 = 196

Hence the fifth result = 450 - (208 + 196) = 46

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Subject: Average

22 11532

Q:

Twenty times a positive integer is less than its square by 96. What is the integer ?

A) 42	B) 36
C) 48	D) 24

Answer & Explanation Answer: D) 24

Explanation:

Let the integer be x. Then,

x2 - 20x = 96

(x + 4)(x - 24) = 0

x = 24

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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12 11523

Q:

What smallest number of 6 digit is divisible by 111?

Answer

Smallest number of 6 digits is 100000

on dividing 100000 by 111 we get 100 as remainder

$\inline \fn_jvn \therefore$ Number to be added = (111 -100) = 11

$\inline \fn_jvn \therefore$ Required Number = 100011

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Subject: Numbers

44 11515

Q:

There are two mixtures of honey and water in which the ratio of honey and water are as 1:3 and 3:1 respectively. Two litres are drawn from first mixture and 3 litres from second mixture, are mixed to form another mixture. What is the ratio of honey and water in it ?

A) 111:108	B) 11:9
C) 103:72	D) None

Answer & Explanation Answer: B) 11:9

Explanation:

From the given data,

The part of honey in the first mixture = 1/4

The part of honey in the second mixture = 3/4

Let the part of honey in the third mixture = x

Then,

1/4 3/4

x

(3/4)-x x-(1/4)

Given from mixtures 1 & 2 the ratio of mixture taken out is 2 : 3

=> $\frac{\frac{3}{4} - x}{x - \frac{1}{4}} = \frac{2}{3}$

=> Solving we get the part of honey in the third mixture as 11/20

=> the remaining part of the mixture is water = 9/20

Hence, the ratio of the mixture of honey and water in the third mixture is 11 : 9 .

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Filed Under: Alligation or Mixture
Exam Prep: GATE , CAT , Bank Exams , AIEEE
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20 11477

Q:

A trader mixes 36 kg of rice at Rs. 20 per kg with 14 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:

A) 25%	B) 21.14%
C) 22.54%	D) 27.32%

Answer & Explanation Answer: C) 22.54%

Explanation:

C.P. of 50 kg rice = Rs. (36 x 20 + 14 x 36) = Rs. (720 + 504) = Rs.1224.

S.P. of 56 kg rice = Rs. (50 x 30) = Rs.1500.

Profit = 1500 - 1224 = Rs.276

Profit % = $\frac{P r o f i t}{C . P} \times 100$ = $\frac{276}{1224} \times 100$ = 22.54%.

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Filed Under: Profit and Loss
Exam Prep: GRE , GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

8 11472

Q:

A and B started a business investing the money in ratio 4:6, after 6 months B withdraw his investment and C joins him with twice the amount of B. At the end of the year total profit is Rs.3315. Find share of C ?

A) Rs. 450	B) Rs. 1020
C) Rs. 765	D) Rs. 1530

Answer & Explanation Answer: D) Rs. 1530

Explanation:

Ratio of investments of A, B & C =>

bank

Share of C = 1530

Share of B = 765

Share of A = 1020

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Filed Under: Partnership
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22 11456

Q:

The value of $(\frac{1}{\log_{3} 60} + \frac{1}{\log_{4} 60} + \frac{1}{\log_{5} 60}) i s$

A) 0	B) 1
C) 5	D) 60

Answer & Explanation Answer: B) 1

Explanation:

=> $\log_{60} (3 * 4 * 5)$

=> $\log_{60} (60)$

= 1

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

81 11434

Q:

The average of 26,29,n,35 and 43 lies between 25 and 35. If n is always an integer and greater than the average of the given integers then the value of n is :

A) 33	B) 34
C) 33	D) None of these

Answer & Explanation Answer: C) 33
Explanation:

Average of 26,29,35 and 43 is 33.25 . Also the average of 26 , 29, n, 35 and 43 lies between 25 and 35 i.e,

$25 < \frac{26 + 29 + n + 35 + 43}{5} < 35$

=> 125 < 26+29+n+35+43 < 175

=> 125 < 133 + n < 175

=> n < 42

Since the value of n is an integer and greater than 33.25 then 33 < n < 42 for every integer n.

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Filed Under: Average

9 11427

Quantitative Aptitude - Arithmetic Ability Questions

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