The positive integer m is not divisible by 3. The remainder when m² is divided by 3 and
the remainder when m is divided by k are both equal to k. what is k? Please answer with steps.
a) 4
b)3
c) 1
d)-1
Answers
Answer:
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Answer:
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GMAT Club Forum Index Data Sufficiency (DS)
If m and n are positive integers, is the remainder of : Data Sufficiency (DS)
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zisis
Sep 24, 2010
00:00ABCDE
DIFFICULTY: 95% (hard) QUESTION STATS: based on 786 sessions
40% (02:05) correct
60% (02:18) wrong
If and are positive integers, is the remainder of larger than the remainder of ?
(1)
(2) The remainder of is
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Spoiler: OA
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Most Helpful Expert Reply
VeritasKarishma
EXPERT'S
POST
Apr 12, 2012
zisis wrote:
If and are positive integers, is the remainder of larger than the remainder of ?
1.
2. The remainder of is
You can also use binomial theorem here. Again, let me reiterate that there are many concepts which are not essential for GMAT but knowing them helps you get to the answer quickly.
The moment I see here, my mind sees
So I say that and give remainder 1 in any case (m and n are positive integers). I just need to worry about n/3 and m/3.
1.
Doesn't tell me about the remainder when m and n are divided by 3.
2. The remainder of is
If n/2 gives a remainder of 2, total remainder of is 1+2 = 3 which is equal to 0. So no matter what the remainder of , the remainder of will never be less than 0. Hence sufficient.
Answer B
Step-by-step explanation:
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