Question

Arrange the following fractions in ascending order:-

A. 11/17 < 41/63 < 3/7 < 21/29

B. 41/63 < 3/7 < 21/29 < 11/17

C. 3/7 < 11/17 < 41/63 < 21/29

D. 3/7 < 11/17 < 21/29 < 41/63

1. C
2. A
3. D
4. B

Answer 1

Correct Answer - Option 1 : C

Given:

11/17, 41/63, 3/7, 21/29

Concept used:

If we make the denominator of all fractions equals then the greater numerator will greater fraction and vice versa.

Calculation:

For the equal denominator, 

LCM of denominators = 31059

11/17 = (11 × 1827)/(17 × 1827) = 20097/31059

41/63 = (41 × 493)/63 × 493) = 20213/31059

3/7 = (3 × 4437)/(7 × 4437) = 13311/31059

21/29 = (21 × 1071)/(29 × 1071) = 22491/31059

clearly we can see that,

3/7 < 11/17 < 41/63 < 21/29

∴ 3/7 < 11/17 < 41/63 < 21/29.