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numbers prob shd i used substitution

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numbers prob shd i used substitution

by quantskillsgmat » Tue Feb 28, 2012 10:53 pm
x,y,a and b are positive integers.when x is divided by y remainder is 6.when a is divided by b remainder is 9.which of the following is not possible value of y+b.
a)24 b)21 c)20 d)17 e)15
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by Anurag@Gurome » Tue Feb 28, 2012 11:22 pm
quantskillsgmat wrote:x,y,a and b are positive integers.when x is divided by y remainder is 6.when a is divided by b remainder is 9.which of the following is not possible value of y+b.
a)24 b)21 c)20 d)17 e)15
x/y gives a remainder of 6 and a/b gives a remainder of 9.
Now remainder is always less than the divisor, because if the remainder is greater than the divisor, it means we have the wrong quotient.
So, y > 6 and b > 9
So, y + b > 15

The correct answer is E.
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