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Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
A difference between the numbers of odd ...
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Updated on: 28 Jul 2021, 01:30
Updated on: 28 Jul 2021, 01:30
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Question Stats:
75% (02:34) correct
25% (00:59) wrong based on 4 sessions
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A difference between the numbers of positive odd and even factors of 344 when multipled by 12 is equal to which value
A) -3
B) -2
C) 1
D) 2
E) 3
A) -3
B) -2
C) 1
D) 2
E) 3
Originally posted by motion2020 on 27 Jul 2021, 17:34.
Last edited by motion2020 on 28 Jul 2021, 01:30, edited 1 time in total.
Last edited by motion2020 on 28 Jul 2021, 01:30, edited 1 time in total.
Re: A difference between the numbers of odd ...
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28 Jul 2021, 00:19
28 Jul 2021, 00:19
1
Factors of 344(2∗2∗2∗43)=1,2,4,8,43,86,172,344
No of odd factors : 2 & no of even factors : 6
A difference between the numbers of odd and even factors =2−6=−4
Multiply by 12 =−42=−2
Answer B
No of odd factors : 2 & no of even factors : 6
A difference between the numbers of odd and even factors =2−6=−4
Multiply by 12 =−42=−2
Answer B
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
A difference between the numbers of odd ...
[#permalink]
28 Jul 2021, 01:29
28 Jul 2021, 01:29
rx10 wrote:
Factors of 344(2∗2∗2∗43)=1,2,4,8,43,86,172,344
No of odd factors : 2 & no of even factors : 6
A difference between the numbers of odd and even factors =2−6=−4
Multiply by 12 =−42=−2
Answer B
No of odd factors : 2 & no of even factors : 6
A difference between the numbers of odd and even factors =2−6=−4
Multiply by 12 =−42=−2
Answer B
Great, thanks for solution. My only worry is that with bigger number, say not 344 but 687 or something different, listing the odd and the even may be time consuming. Therefore, I offer to separate these two categories such as 23∗43 and the number of positive factors will be (3+1)∗(1+1). While the number of odd factors is simply (1+1), the remaining will be even factors 8−2=6.
I have also updated the question's prompt as factors sought here are positive only. This is my made question. I have GRE in less than 10 days (6th August). Fingers crossed, as I hope to attain at least Q160
