If m is an integer, is
m102
an integer?
99 is a factor of 165m.
34 is a factor of 7m
If m is an integer, is m102 an integer? 99 is a facto
This topic has expert replies
- hemant_rajput
- Master | Next Rank: 500 Posts
- Posts: 447
- Joined: Sun Apr 22, 2012 7:13 am
- Thanked: 46 times
- Followed by:13 members
- GMAT Score:700
can you please post the complete question. m102 is an integer doesn't make sense. Is it m/102?varun289 wrote:If m is an integer, is
m102
an integer?
99 is a factor of 165m.
34 is a factor of 7m
I'm no expert, just trying to work on my skills. If I've made any mistakes please bear with me.
- Brian@VeritasPrep
- GMAT Instructor
- Posts: 1031
- Joined: Thu Jul 03, 2008 1:23 pm
- Location: Malibu, CA
- Thanked: 716 times
- Followed by:255 members
- GMAT Score:750
I know this one - it should read "Is m/102 an integer" or "Is m divided by 102 an integer).
Brian Galvin
GMAT Instructor
Chief Academic Officer
Veritas Prep
Looking for GMAT practice questions? Try out the Veritas Prep Question Bank. Learn More.
GMAT Instructor
Chief Academic Officer
Veritas Prep
Looking for GMAT practice questions? Try out the Veritas Prep Question Bank. Learn More.
- hemant_rajput
- Master | Next Rank: 500 Posts
- Posts: 447
- Joined: Sun Apr 22, 2012 7:13 am
- Thanked: 46 times
- Followed by:13 members
- GMAT Score:700
solving for m/102
102 = 2* 3 * 17
so if m has at least one 2, one 3 and one 17 in its factor then m is divisible by 102.
statement 1
165 = 5 * 3 * 11 and 99 = 3 * 3 * 11
so when we say 99 is a factor of 165 * M we mean that 165 *M will have at least this 3 * 3 * 11. now we know that 165 has one 3 and one 11 as a factor so other 3 of 99 is coming from M.
we have 3 as one of the factor of M but we don't know that whether 2 and 17 are factors of M.
Not Sufficient.
Statement 2:
34 = 2 * 17
for 34 to be a factor of 7 * M , M must has one 2 and one 17 as its factor.
but we don't know whether 3 is a factor of M
Not sufficient.
now combing both statement
from 1st statement we know that 3 is the factor of M and from 2nd statement we know that 2 and 17 are factor of M. hence m is divisible by 102.
Option C
102 = 2* 3 * 17
so if m has at least one 2, one 3 and one 17 in its factor then m is divisible by 102.
statement 1
165 = 5 * 3 * 11 and 99 = 3 * 3 * 11
so when we say 99 is a factor of 165 * M we mean that 165 *M will have at least this 3 * 3 * 11. now we know that 165 has one 3 and one 11 as a factor so other 3 of 99 is coming from M.
we have 3 as one of the factor of M but we don't know that whether 2 and 17 are factors of M.
Not Sufficient.
Statement 2:
34 = 2 * 17
for 34 to be a factor of 7 * M , M must has one 2 and one 17 as its factor.
but we don't know whether 3 is a factor of M
Not sufficient.
now combing both statement
from 1st statement we know that 3 is the factor of M and from 2nd statement we know that 2 and 17 are factor of M. hence m is divisible by 102.
Option C
I'm no expert, just trying to work on my skills. If I've made any mistakes please bear with me.
-
- Master | Next Rank: 500 Posts
- Posts: 423
- Joined: Fri Jun 11, 2010 7:59 am
- Location: Seattle, WA
- Thanked: 86 times
- Followed by:2 members
m is INTEGER, is m/102 and INTEGER??
102 = 2 * 3 * 17
does m have factors 2, 3 and 17?
1. 99 is factor of 165m => 3 * 3 * 11 is factor of 3 * 5 * 11 * m
Hence m must be a factor of 3 (but we dont know about whether m is a factor of 2 and 17 or not)
hence INSUFFICIENT
2. 34 is factor of 7m => 2 * 17 is factor of 7 * m. this implies m must have as its factors a 2 and a 17. However we dont know whether m has a 3 or not. There could be a 3 or there may not be a 3.
Hence INSUFFICIENT.
Together 1 + 2: from 1 we know m has a 3 and from 2 we know m has a 2 and a 17
hence m is atleast 2 * 3 * 17 ( that are all the factors common to 102)
Hence m / 102 is an integer
SUFFICIENT
Answer C
102 = 2 * 3 * 17
does m have factors 2, 3 and 17?
1. 99 is factor of 165m => 3 * 3 * 11 is factor of 3 * 5 * 11 * m
Hence m must be a factor of 3 (but we dont know about whether m is a factor of 2 and 17 or not)
hence INSUFFICIENT
2. 34 is factor of 7m => 2 * 17 is factor of 7 * m. this implies m must have as its factors a 2 and a 17. However we dont know whether m has a 3 or not. There could be a 3 or there may not be a 3.
Hence INSUFFICIENT.
Together 1 + 2: from 1 we know m has a 3 and from 2 we know m has a 2 and a 17
hence m is atleast 2 * 3 * 17 ( that are all the factors common to 102)
Hence m / 102 is an integer
SUFFICIENT
Answer C