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![For a positive integer m, [m] is defined to be the remainder when 7m](/forum/styles/gmatclub_light/imageset/icon_post_target_unread.svg "For a positive integer m, [m] is defined to be the remainder when 7m"){kind=icon}
22 May 2023, 07:30
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
74% (02:02) correct
26%
(02:31)
wrong
based on 272
sessions
History
Date
Time
Result
Not Attempted Yet
For a positive integer m, [m] is defined to be the remainder when 7m is divided by 3. If n is a positive integer, which of the following are equal to 1?
I. [3n + 1]
II. [3n]
III. [3n] + 2
A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III
I. [3n + 1]
II. [3n]
III. [3n] + 2
A. I only
B. II only
C. I and II only
D. I and III only
E. I, II, and III
22 May 2023, 13:54
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Bunuel
I. [3n + 1]
Remainder(\(\frac{7(3n + 1) }{ 3}\))
Remainder(\(\frac{7(3n) + (7) }{ 3}\))
Remainder = 1
II. [3n]
Remainder(\(\frac{7(3n) }{ 3}\))
Remainder(\(\frac{7(3n) }{ 3}\))
Remainder = 1
III. [3n] + 2
Remainder(\(\frac{7(3n+2) }{ 3}\))
Remainder(\(\frac{7(3n+2) }{ 3}\))
Remainder = 2
Hence, Only I (Option A)
19 Jun 2023, 07:30
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It should be n instead of m in the first line
Posted from my mobile device
Posted from my mobile device
