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06 Apr 2022, 08:00
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B
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Difficulty:
95%
(hard)
Question Stats:
42% (02:36) correct
58%
(02:22)
wrong
based on 164
sessions
History
Date
Time
Result
Not Attempted Yet
Erin writes a list of every sixth integer in increasing order, starting with the positive integer x. Harry writes a list of every ninth integer in increasing order, starting with the positive integer y. Will any integer appear on both Erin’s list and Harry’s list?
(1) x is a multiple of y.
(2) x – y is a multiple of 3.
Are You Up For the Challenge: 700 Level Questions
(1) x is a multiple of y.
(2) x – y is a multiple of 3.
Are You Up For the Challenge: 700 Level Questions
08 Apr 2022, 08:59
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Bunuel
Breaking Down the Info:
Erin's list will be x, x + 6, x + 12 .... and Harry's list will be y, y + 9, y + 18 ....
If x and y have a difference or 3, 6, or 9 etc, there will be an element that they share. E.g. If x = 3 and y = 6, then x + 12 = y + 9. If x = 3 and y = 9, then x + 6 = y. If x = 3 and y = 12, then x + 18 = y + 9.
Statement 1 Alone:
If x = 14 and y = 7, then the difference is 7 and we don't have a difference of a multiple of 3. Insufficient.
Statement 2 Alone:
As shown above, this is sufficient.
Answer: B
03 Jun 2025, 06:16
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