6500+ Quantitative Aptitude Questions and Answers With Explanation

Q:

A fraction becomes 2/3 when 1 is added to both, its numerator and denominator .And , it becomes 1/2 when 1 is subtracted from both the numerator and denominator. What is the fraction?

Answer

Let required fraction be $\frac{x}{y}$ then

$\frac{x+1}{y+1}=\frac{2}{3}\Rightarrow 3x-2y=-1$ ............. (i)

and $\frac{x-1}{y-1}=\frac{1}{2}\Rightarrow 2x-y=1$ ............ (ii)

Solving (i) and (ii) we get x=3, y=5

$\inline \therefore$ Required fraction = $\frac{3}{5}$

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Subject: Problems on Numbers

16 8648

Q:

A sum of Rs. 731 is divided among A,B and C, such that 'A' receives 255 more than 'B' and 'B' receives 25% less than 'C'. What is 'C' s share in the amount?

A) Rs.172	B) Rs.200
C) Rs.262	D) None of these

Answer & Explanation Answer: D) None of these

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
Job Role: Bank PO

19 8646

Q:

Out of 135 applicants for a post, 60 are graduates and 80 have experience. What is the ratio of minimum to maximum number
of graduates having experience?

A) 12:1	B) 5:1
C) 1:5	D) 1:12

Answer & Explanation Answer: D) 1:12

Explanation:

Given total applicants = 135
Given graduates are G=60
Otherthan graduates=135-60 = 75
Given experienced candidates = 80
1) For maximum number of graduates have experience
Total graduates to have experience = 60

2) For minimum number of graduates have experience
Remaining after taking other than graduates in experience= 80-75 = 5

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

13 8641

Q:

Ajay who is a King, at his eleventh hour, called his three queens and distributed his gold in the following way: He gave 50% of his wealth to his first wife, 50% of the rest to his second wife and again 50% of the rest to his third wife. If their combined share is worth1,30,900 kilograms of gold, find the quantity of gold King Ajay was having initially?

A) 153145 kgs	B) 147890 kgs
C) 152400 kgs	D) 149600 kgs

Answer & Explanation Answer: D) 149600 kgs

Explanation:

Let the total quantity of gold be p kgs.

According to the question,

50% of p + 25% of p + 12.5% of p = 130900

87.5% of p = 130900

p = 130900 x 100/87.5 = 149600 kgs.

Therefore, the initial gold quantity that king has = p = 149600 kgs.

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

7 8640

Q:

The respective ratio between the speed of a bike, a van and lorry is 3 : 5 : 2. The speed of the van is 250 percent of the speed of the lorry which covers 360 km in 12 hours. What is the average speed of the bike and the van together?

A) 60 kmph	B) 62 kmph
C) 64 kmph	D) 63 kmph

Answer & Explanation Answer: A) 60 kmph

Explanation:

Speed of lorry = $\frac{360}{12}$ = 30 kmph

Speed of van = $\frac{250}{100} x 30$ = 75 kmph

Speed of bike = $\frac{3}{5} x 75$ = 45 kmph

Therefore, now required average speed of bike and van = $\frac{75 + 45}{2}$ = 60 kmph.

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

12 8640

Q:

In how many ways can you choose one or more of 12 different candies?

A) 4054	B) 4050
C) 4095	D) 4059

Answer & Explanation Answer: C) 4095

Explanation:

Each candy can be dealt with in two ways.It can be chosen or not chosen.This will give 2 possibilites for the first candy, 2 for the second, and so on.by multiplying the cases together we get $2^{12}$ . Since the case of no candy being selected is not an option, we have to subtract 1 from our answer.

Therefore,there are $2^{12}$ - 1 = 4095 ways of selecting one or more candies

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Filed Under: Permutations and Combinations

0 8640

Q:

The sum of the present ages of a father and his son is 126 years. 8 years ago their respective ages were in the ratio of 7 : 4. After 7 years what will be the ratio of ages of father and son?

A) 23 : 19	B) 17 : 11
C) 27 : 20	D) 34 : 23

Answer & Explanation Answer: B) 17 : 11

Explanation:

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

35 8637

Q:

The calendar for the year 2013 was the same as the year :

A) 1998	B) 2017
C) 2009	D) 2002

Answer & Explanation Answer: D) 2002

Explanation:

Given year, 2013 when divided by 4 leaves a remainder of 1.

NOTE: When the remainder is 1, 11 is substracted from the given year to get the result.

So, 2013 - 11 =2002

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Filed Under: Calendar

13 8632

Quantitative Aptitude - Arithmetic Ability Questions

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