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Pranjal3107
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Updated on: 26 Aug 2021, 21:55
Originally posted by Pranjal3107 on 26 Aug 2021, 14:15.
Last edited by Bunuel on 26 Aug 2021, 21:55, edited 1 time in total.
Last edited by Bunuel on 26 Aug 2021, 21:55, edited 1 time in total.
Renamed the topic.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
59% (01:23) correct
41%
(01:26)
wrong
based on 105
sessions
History
Date
Time
Result
Not Attempted Yet
27 Aug 2021, 03:54
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Is 7 the hcf of p and q ?
1) p=7q+7=7(q+1)
If q is 1, 2 or 200, then q is not a multiple of 7 but p is.
If q is a multiple of 7, then both p and q are multiple of 7.
But q could be a fraction too, then both p and q will not be multiple of 7
Insufficient
2) q is a multiple of 7
Nothing about p
Insufficient
Combined
So q=7x and p=7*7x+7=7(7x+1)
The HCF of two integers 7x and 7(7x+1) is 7.
Sufficient
C
1) p=7q+7=7(q+1)
If q is 1, 2 or 200, then q is not a multiple of 7 but p is.
If q is a multiple of 7, then both p and q are multiple of 7.
But q could be a fraction too, then both p and q will not be multiple of 7
Insufficient
2) q is a multiple of 7
Nothing about p
Insufficient
Combined
So q=7x and p=7*7x+7=7(7x+1)
The HCF of two integers 7x and 7(7x+1) is 7.
Sufficient
C
Pranjal3107
Current Student
Joined: 13 Apr 2020
Last visit: 06 Jul 2022
Posts: 146
Own Kudos:
Given Kudos: 1,709
Location: India
Schools: NTU (A) ISB '23 (D)
GMAT 1: 710 Q45 V41
GPA: 3
27 Aug 2021, 04:41
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chetan2u
Is 7 the hcf of p and q ?
1) p=7q+7=7(q+1)
If q is 1, 2 or 200, then yes.
But q could be a fraction too.
Insufficient
2) q is a multiple of 7
Nothing about p
Insufficient
Combined
So q=7x and p=7*7x+7=7(7x+1)
The HCF of two integers 7x and 7(7x+1) is 7.
Sufficient
C
1) p=7q+7=7(q+1)
If q is 1, 2 or 200, then yes.
But q could be a fraction too.
Insufficient
2) q is a multiple of 7
Nothing about p
Insufficient
Combined
So q=7x and p=7*7x+7=7(7x+1)
The HCF of two integers 7x and 7(7x+1) is 7.
Sufficient
C
But what if q=0 since 0 is a multiple of all numbers. In that case p=7 and q=0 ? Please help me where im going wrong.
