If 60ml of a drink containing a % alcohol is mixed with 240ml of another drink containing b % alcohol to give a resultant drink containing 45% alcohol. If a andgt; b, and it is known that b is an integer, then how many integer values can a assume?a)11b)13c)14d)16Correct answer is option 'B'. Can you explain this answer?

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If 60ml of a drink containing 'a' % alcohol is mixed with 240ml of another drink containing 'b' % alcohol to give a resultant drink containing 45% alcohol. If a > b, and it is known that b is an integer, then how many integer values can 'a' assume?

a)
11
b)
13
c)
14
d)
16

Correct answer is option 'B'. Can you explain this answer?

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If 60ml of a drink containing a % alcohol is mixed with 240ml of anoth...

It is given that a > b, and the resulting mixture contains 45% of alcohol.
Combining the two we get a > 45 > b,
We are here combining 60 ml of drink containing 'a'% alcohol, and 240 ml of drink containing 'b'% of alcohol.
Thus by using principle of Allegations, we get
60.(a - 45) = 240.(45 - b)
or (a - 45) = 4(45 - b)
But since b is an integer, (45 - b) is also an integer
In that case (a - 45) has to be a multiple of 4 such that a > 45
'a' can take the following values {49, 53, .. , 93, 97}
Thus we get a total of 13 different integer values of 'a'

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If 60ml of a drink containing a % alcohol is mixed with 240ml of another drink containing b % alcohol to give a resultant drink containing 45% alcohol. If a > b, and it is known that b is an integer, then how many integer values can a assume?a)11b)13c)14d)16Correct answer is option 'B'. Can you explain this answer?

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