1 unit of x% alcohol is mixed with 3 units of y% alcohol to give 60% alcohol.…
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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?
- A.
19
- B.
20
- C.
21
- D.
13
Attempted by 6 students.
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Correct answer: D
To start with x > y => x > 60 > y. (x – 60) = 3(60 – y). 60 – y is an integer => x – 60 has to be a multiple of 3. x can take values {63, 66, 69 ….. 99}– A total of 13 values. The question is "how many integer values can x take?" Hence, the answer is "13". Choice D is the correct answer.