Fractions for bank exams

Fractions for bank exams

Which of the following fraction is arranged in ascending order of their value?

a) 1/4, 2/7, 3/4, 4/7, 5/7, 6/5
b) 1/4, 2/7, 4/7, 5/7, 3/4, 6/5
c) 2/7, 1/4, 4/7, 3/4, 5/7, 6/5
d) 2/7, 1/4, 4/7, 5/7, 3/4, 6/5

Answer : b) 1/4, 2/7, 4/7, 5/7, 3/4, 6/5

Solution :

Converting the given fractions into decimal numbers, we have
1/4 = 0.25
2/7 = 0.28
3/4 = 0.75
4/7 = 0.57
5/7 = 0.71
6/5 = 1.2

So, 0.25 < 0.28 < 0.57 < 0.71 < 0.75 < 1.2

Corresponding fraction is 1/4 < 2/7 < 4/7 < 5/7 < 3/4 < 6/5

Hence the answer is option b.

Question 2

Which of the following fraction is the largest?

a) 8/9 b) 18/23 c) 16/21 d) 14/17

Answer : a) 8/9

Solution :

Converting the given fractions into decimal form, we have,

8/9 = 0.88
18/23 = 0.78
16/21 = 0.76
14/17 = 0.82

From the above, 0.88 is the largest.
Corresponding fraction is 8/9.

Question 3

Which of the following fraction is greater than 4/5 and less than 6/7?

a) 2/3 b) 3/4 c) 5/6 d) 10/11

Answer : c) 5/6

Solution :

We have to find X such that 4/5 < X < 6/7

Converting each fraction into decimal form, we get:

4/5 = 0.8
6/7 = 0.85

We have to find the fraction which is greater than 0.8and less than 0.85.
Now,
2/3 = 0.66
3/4 = 0.75
5/6 = 0.83
10/11 = 0.91

Clearly, 0.83 lies between 0.8 and 0.85.
Required fraction is 5/6

Question 4

Which of the following fraction does not lie between 5/6 and 8/15?

a) 2/3 b) 3/4 c) 4/5 d) 6/7

Answer : d) 6/7

Solution :

Converting each of the given fractions into decimal form, we get,

5/6 = 0.83
8/15 = 0.53
2/3 = 0.66
3/4 = 0.75
4/5 = 0.8
6/7 = 0.85

Clearly, 0.85 does not lie between 0.83 and 0.53
Hence the required fraction is 6/7.

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