Arrange the following in Ascending order :

2 : 5, 3 : 4, 5: 6, 2 : 3

2:3 < 2:5 < 3:4 < 5:6

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2:5 < 2:3 < 3:4 < 5:6

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2:5 < 3:4 < 2:3 < 5:6

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2:5 < 2:3 < 5:6 < 3:4

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Solution

The correct option is B
2:5 < 2:3 < 3:4 < 5:6

Given ratios are 2/5, 3/4, 5/6, 2/3

The L.C.M. of 5, 4, 6, 3 is 2 × 2 × 3 × 5 = 60

Now, 2/5 = (2 × 20)/(3 × 20) = 24/60

3/4 = (3 × 15)/(4 × 15) = 45/60

5/6 = (5 × 10)/(6 × 10) = 50/60

2/3 = (1 × 12)/(5 × 12) = 40/60

Clearly, 24/60 < 40/60 < 45/60 < 50/60

Therefore, 2/5 < 2/3 < 3/4 < 5/6

So, 2:5 < 2:3 < 3:4 < 5:6

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