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If x, a, and b are positive integers such that when x is

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siddharthmk
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Re: If x, a, and b are positive integers such that when x is [#permalink] New post   22 Oct 2014, 02:44
Hello Everyone,

How is option B wrong?
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Bunuel
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Re: If x, a, and b are positive integers such that when x is [#permalink] New post   22 Oct 2014, 03:50
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siddharthmk wrote:
Hello Everyone,

How is option B wrong?


If x = 5, a = 3, and b = 2, then option B is not true: x + b = 7 is NOT divisible by a = 3.
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Re: If x, a, and b are positive integers such that when x is [#permalink] New post   03 Dec 2018, 00:16
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abhi758 wrote:
If x, a, and b are positive integers such that when x is divided by a, the remainder is b and when x is divided by b, the remainder is a-2, then which of the following must be true?

A. a is even
B. x+b is divisible by a
C. x-1 is divisible by a
D. b=a-1
E. a+2=b+1


"when x is divided by a, the remainder is b"

means b < a (Remainder is always less than the divisor)

"when x is divided by b, the remainder is a-2"

means (a - 2) < b (Remainder is always less than the divisor)

So (a - 2) < b < a
b is between (a - 2) and a which means it must be (a - 1).

Answer (D)
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Re: If x, a, and b are positive integers such that when x is [#permalink] New post   02 Apr 2019, 10:47
Very nice question. I am in love with this question and the approach provided by Bunuel


abhi758 wrote:
If x, a, and b are positive integers such that when x is divided by a, the remainder is b and when x is divided by b, the remainder is a-2, then which of the following must be true?

A. a is even
B. x+b is divisible by a
C. x-1 is divisible by a
D. b=a-1
E. a+2=b+1
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Re: If x, a, and b are positive integers such that when x is [#permalink] New post   02 Oct 2022, 01:53
I did this by putting values,though time consuming, x=5,a=3,b=2.. So IMO is D
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Re: If x, a, and b are positive integers such that when x is [#permalink] New post   14 Oct 2023, 06:13
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Re: If x, a, and b are positive integers such that when x is [#permalink] New post   26 Oct 2023, 11:03
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Re: If x, a, and b are positive integers such that when x is [#permalink]
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