Fraction - Quantitative Aptitude (MCQ) questions

1)   The product of two fractions is 3/4 and their quotient is 6/18. If the denominator of one is 1/3 of the other's numerator, then find the pair of fractions?
- Published on 19 Apr 16

a. 1/3, 9/5
b. 1/2, 3/2
c. 1/2, 6/5
d. Data inadequate
e. None of these
Answer  Explanation 

ANSWER: 1/2, 3/2

Explanation:
Let A = x/y, and B be two fractions
It is given that A*B = 3/4
Therefore x/y * B = 3/4
B = 3y/4x
Therefore, A = x/y and B = 3y/4x
It is given that A/B = (x/y) / (3y/4x) = 6/18
Therefore x/y * 4x/3y = 6 /18
Therefore 4x2/3y2 = 6/18
x2/y2 = 18/(4*18)
Therefore, x2/y2 = ¼
x/y = 1/2
B = 3y/4x = 3/4 (1/(x/y)) = 3/4 [1/(1/2)] = 6/4
Therefore A = 1/2 and B = 3/2


2)   Which of the following fraction is the smallest?
- Published on 13 Apr 16

a. 12/14
b. 13/19
c. 17/21
d. 7/8
Answer  Explanation 

ANSWER: 13/19

Explanation:
12/14 = 0.857, 13/19 = 0.684, 17/21 = 0.8095 and 7/8 = 0.875
Since 0.684 is the smallest, so 13/19 is the smallest fraction.


3)   Which of the following fraction is greater than 2/3 and less than 4/5 ?
- Published on 07 Apr 16

a. 1/2
b. 9/10
c. 3/4
d. 5/6
Answer  Explanation 

ANSWER: 3/4

Explanation:
1/2 = 0.5, 2/3 = 0.66, 4/5 = 0.8, 9/10 = 0.9, 3/4 = 0.75, 5/6 = 0.833,
Clearly, 0.8 lies between 0.75 and 0.833
3/4 lies between 2/3 and 4/5


4)   If x + 5y = 16 and x= -3y, then y =
- Published on 15 Jun 15

a. -24
b. -8
c. 8
d. 2
Answer  Explanation 

ANSWER: 8

Explanation:
No explanation is available for this question!


5)   If one is added to the numerator of the fraction it becomes one. If one is added to the denominator of the fraction it becomes 1/2. The fraction is?
- Published on 12 Jun 15

a. 1/2
b. 3/5
c. 2/3
d. 2/5
Answer  Explanation 

ANSWER: 2/3

Explanation:
Let the fraction be x/y.

=> (x+1)/y = 1

=> x+1 = y—(1)
x/(y-1) = 1/2

=> 2x = (y+1)—(2)

=>Equating (1) and (2)

=> x+1 = 2x-1

=>x=2

Subsituting the value of x in (1)

=>y=3

=>2/3


1