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W, X, Y and Z are four different positive integers. When X is divided
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18 Aug 2021, 09:29
18 Aug 2021, 09:29
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W, X, Y and Z are four different positive integers. When X is divided by Y, the quotient is Z and the remainder is W.
Also, W = X – 7.
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Question adapted from GMATPrepNow (Brent Hanneson – Creator of @GreenlightTestPrep)
Also, W = X – 7.
Quantity A |
Quantity B |
Sum of all possible values of W |
20 |
A. Quantity A is greater
B. Quantity B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Question adapted from GMATPrepNow (Brent Hanneson – Creator of @GreenlightTestPrep)
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: W, X, Y and Z are four different positive integers. When X is divided
[#permalink]
19 Aug 2021, 09:40
19 Aug 2021, 09:40
2
Explanation:
Number = (Quotient)(Divisor) + Remainder
X = YZ + W
X = YZ + X - 7
YZ = 7
i.e. YZ = (1)(7) or (7)(1)
We cannot take Y = 1, as any number divided by leaves no remainder (0) and W > 0.
So, Y = 7
Remember: The possible values of the remainder is always 1 less than the divisor itself
Which means we can 1, 2, 3, 4, 5, and 6 as the remainder
Now, since we have taken Z = 1, the remainder (Z) cannot be 1
Therefore,
Col. A: 2 + 3 + 4 + 5 + 6 = 20
Col. B: 20
Hence ,option C
Number = (Quotient)(Divisor) + Remainder
X = YZ + W
X = YZ + X - 7
YZ = 7
i.e. YZ = (1)(7) or (7)(1)
We cannot take Y = 1, as any number divided by leaves no remainder (0) and W > 0.
So, Y = 7
Remember: The possible values of the remainder is always 1 less than the divisor itself
Which means we can 1, 2, 3, 4, 5, and 6 as the remainder
Now, since we have taken Z = 1, the remainder (Z) cannot be 1
Therefore,
Col. A: 2 + 3 + 4 + 5 + 6 = 20
Col. B: 20
Hence ,option C
Re: W, X, Y and Z are four different positive integers. When X is divided
[#permalink]
04 Jul 2026, 23:59
04 Jul 2026, 23:59
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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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