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GRE Math Challenge #24-{a, b} represents the remainder
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07 Sep 2014, 07:04
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63% (01:03) wrong based on 44 sessions
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{a, b} represents the remainder when a is divided by b
C and d are positive integers with c<d
Quantity A: {c, d} Quantity B: {d, c}
A)The quantity in Column A is greater B)The quantity in Column B is greater C)Both are Equal. D)The relationship cannot be determined from the information given
Re: GRE Math Challenge #24-{a, b} represents the remainder
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12 Oct 2016, 07:44
if d is divisible by c, like c=1and d=2,3,4....., c=2 and c=4,6,8..., the remainder for d/c is always =0, less than c, in any other case c will be the greater reminder
Re: GRE Math Challenge #24-{a, b} represents the remainder
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12 Oct 2016, 10:16
Expert Reply
lucky wrote:
if d is divisible by c, like c=1and d=2,3,4....., c=2 and c=4,6,8..., the remainder for d/c is always =0, less than c, in any other case c will be the greater reminder
so the correct answer is D
Hey
Remainder of d/c =0 makes Quanity B = 0 Quantity A is still non zero. Quantity A is still greater.
Re: GRE Math Challenge #24-{a, b} represents the remainder
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12 Nov 2016, 12:34
1
sandy wrote:
{a, b} represents the remainder when a is divided by b
C and d are positive integers with c<d
Quantity A: {c, d} Quantity B: {d, c}
IMPORTANT RULE #1: When positive integer N is divided by positive integer D, the remainder R is such that 0 < R < D For example, if we divide some positive integer by 7, the remainder will be 6, 5, 4, 3, 2, 1, or 0
IMPORTANT RULE #2: If x and y are positive integers and x < y, then x divided by y equals 0 with remainder x For example, 3 divided by 5 equals 0 with remainder 3.
Quantity A: {c, d} Since c < d, then by RULE #2, we know that c divided by d equals 0 with remainder c We get... Quantity A: c
Quantity B: {d, c} By RULE #1, we know that the remainder will be greater than or equal to 0 and LESS THAN c In other words... Quantity B: Some integer that's greater than or equal to 0 and LESS THAN c
Since Quantity B must be LESS THAN c, we can conclude that Quantity A is greater
Re: GRE Math Challenge #24-{a, b} represents the remainder
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12 Jan 2023, 15:40
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Re: GRE Math Challenge #24-{a, b} represents the remainder [#permalink]