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12 Aug 2009, 22:35
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Q> When a positive integer is divided by 4, the remainder is r; when divided by 9, the remainder is R. What is the greatest possible value of r^2+R?
A> 23,
B> 21,
C> 17,
D> 13,
E> 11
I have doubt on question. Please post answer with explanation.
A> 23,
B> 21,
C> 17,
D> 13,
E> 11
I have doubt on question. Please post answer with explanation.
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13 Aug 2009, 01:08
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Q> When a positive integer is divided by 4, the remainder is r; when divided by 9, the remainder is R. What is the greatest possible value of r^2+R?
A> 23,
B> 21,
C> 17,
D> 13,
E> 11
When a number, say n, is divided by 4 the maximum remainder possible is 3 and when n is divided by 9 the maximum remainder possible is 8 => r=3 & R=8
An eg of n is 35
Thus Max(r^2+R) is attained when both r & R are maximum i.e. when r=3 & R=8
=>Max(r^2+R) = 3^2 + 8
=>Max(r^2+R) = 17
ANS: C
A> 23,
B> 21,
C> 17,
D> 13,
E> 11
When a number, say n, is divided by 4 the maximum remainder possible is 3 and when n is divided by 9 the maximum remainder possible is 8 => r=3 & R=8
An eg of n is 35
Thus Max(r^2+R) is attained when both r & R are maximum i.e. when r=3 & R=8
=>Max(r^2+R) = 3^2 + 8
=>Max(r^2+R) = 17
ANS: C
13 Aug 2009, 05:37
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samrus98
You gave one example of such number (35), is there a formula to generate all the numbers that satify this condition? I am asking because it might so happen in the exam that numbers and remainders are such that we are not able to think of sample number (35 in this case) that satifies the condition.......or is it that the numbers will always satisfy the condition?
