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x, y, a, and b are positive integers. When x is divided by y [#permalink]
19 Jan 2012, 16:07

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Difficulty:

35% (medium)

Question Stats:

65% (01:38) correct
34% (01:38) wrong based on 43 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?

My answer is A as I can get other values. But the OA is not given. What I am keen on asking is "I have solved this question by picking the values for x,y,a and b. Is there any shortcut and do you guys agree with my answer?

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

My answer is A as I can get other values. But the OA is not given. What I am keen on asking is "I have solved this question by picking the values for x,y,a and b. Is there any shortcut and do you guys agree with my answer?

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

Re: x, y, a, and b are positive integers. When x is divided by y [#permalink]
25 Jan 2012, 03:59

1

This post received KUDOS

Expert's post

enigma123 wrote:

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

My answer is A as I can get other values. But the OA is not given. What I am keen on asking is "I have solved this question by picking the values for x,y,a and b. Is there any shortcut and do you guys agree with my answer?

I would suggest you to analyze each statement as you read it. Often, you will find that you are very close to the answer by the time you read the last sentence of the question.

"When x is divided by y, the remainder is 6." Here, I say to myself, "Ok, so y must be greater than 6 and x is either 6 or at least 6 greater than y."

When a is divided by b, the remainder is 9. Now I say, "b must be greater than 9 and a is either 9 or at least 9 greater than y."

Which of the following is NOT a possible value for y + b I already know that y must be greater than 6 and b must be greater than 9. So (y+b) must be greater than 15. Now I will just look for an option <= 15
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