Question:The least whole number which when subtracted from the terms of the ratio `6 : 7` to give a ratio less than `16 : 21`, is : 

A `2` 
B `3` 
C `4` 
D `6` 

+ Answer
B 

+ Explanation
Let `x` be subtracted. Then,

`(6 - x)/(7 - x) < (16)/(21)`

`iff 21(6 - x) < 16(7 - x)`

`iff 5x >14`

`iff x > 2.8`

`:.` Least such number is `3`.

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Md. Habib Ullah

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