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x, y, a, and b are positive integers. When x is divided by [#permalink]
08 Aug 2008, 03:56

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This post was BOOKMARKED

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Difficulty:

15% (low)

Question Stats:

85% (01:54) correct
15% (01:01) wrong based on 33 sessions

x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?

x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b? 24 21 20 17 15

y>6 b>9

15 is not possible. _________________

Your attitude determines your altitude Smiling wins more friends than frowning

x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b? 24 21 20 17 15

we talk abou remainders : say here

y(q)+6=x --> y>6 b(q1)+9=a ----> b >9

=> y+b>15 hence y+b=15 is not possible _________________

x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b? 24 21 20 17 15

E) ... cant be 15 because sum of their remainders cannot be equal to sum of both numbers

Re: x, y, a, and b are positive integers. When x is divided by [#permalink]
07 Dec 2013, 23:14

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Re: x, y, a, and b are positive integers. When x is divided by [#permalink]
08 Dec 2013, 06:30

Expert's post

x, y, a, and b are positive integers. When x is divided by y, the remainder is 6. When a is divided by b, the remainder is 9. Which of the following is NOT a possible value for y + b?

A. 24 B. 21 C. 20 D. 17 E. 15

Important note: remainder is ALWAYS less than divisor, thus y>6 and b>9 --> y+b>15.

Originally posted on MIT Sloan School of Management : We are busy putting the final touches on our application. We plan to have it go live by July 15...