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?
Answer: Option D
:
D
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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:
D
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.
Was this answer helpful ?
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