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Question

1 unit of x% alcohol is mixed with 3 units of y% alcohol to give 60% alcohol. If x>y , how many integer values can x take?


  1. 15

  2. 19

  3. 20

  4. 13

  5. 21


Solution

The correct option is D

13


We know that

(x+3y)4=60 or x+3y =240 and x>y

As 0<x<100, let's start with x=99. When x= 99, y=47.

When x=96, y=48 and so on. x has to be greater than y. Now in the limiting case, when x=60, y=60.

So when x=63, y=59. So x can take the values of 63,66,69...... till 99, a total of 13 values. 

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