Question

Arrange the following ratios in descending order: 2:3, 3:4, 5:6, 1:5 5:6 > 3:4 > 2:3 > 1:5 1:5 > 2:3 > 3:4 > 5:6 2:3 > 1:5> 5:6 > 3:4 5:6 >1:5 > 3:4 > 2:3

Answer 1

Option A.

Explanation:

The given ratios are 2:3, 3:4, 5:6, 1:5.

We need to arrange these ratios in descending order.

Fraction form of given ratios are

`(2)/(3),(3)/(4),(5)/(6),(1)/(5)`

First find LCM of denominators.

`LCM(3,4,6,5)=60`

Now, make denominator common, i.e., 60.

`(2* 20)/(3* 20),(3* 15)/(4* 15),(5* 10)/(6* 10),(1* 12)/(5* 12)`

`(40)/(60),(45)/(60),(50)/(60),(12)/(50)`

Now, arrange numerator in descending order.

`50>45>40>12`

`\Rightarrow (50)/(60)>(45)/(60)>(40)/(60)>(12)/(50)`

`\Rightarrow (5)/(6)>(3)/(4)>(2)/(3)>(1)/(5)`

`\Rightarrow 5:6>3:4>2:3>1:5`

Therefore, the correct option is A.