If m is an integer, is m odd?
1. m/2 is NOT an even integer
2. m-3 is an even integer
When I solved the problem both statements were valid. I chose D as the answer but the official guide has B as the answer.
Can anyone explain why statement 1 is NOT sufficient?
Thanks in Advance.
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OG 11 Edition 65 problem
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prashanthichennupati
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Statement 1: m/2 is NOT an even integerprashanthichennupati wrote:If m is an integer, is m odd?
1. m/2 is NOT an even integer
2. m-3 is an even integer
When I solved the problem both statements were valid. I chose D as the answer but the official guide has B as the answer.
Can anyone explain why statement 1 is NOT sufficient?
Thanks in Advance.
If m=2, then m/2 = 2/2 = 1, which is not an even integer.
In this case, m is even.
If m=3, then m/2 = 3/2 = 1.5, which is not an even integer.
In this case, m is odd.
INSUFFICIENT.
Statement 2: m-3 is an even integer
m-3 = even
m = even + 3 = even + odd = odd.
SUFFICIENT.
The correct answer is B.
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prashanthichennupati
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Thanks Mitch for the explanation.
Can you explain the statement statement "m/2 is NOT an even integer". Please find my explanation below.
I took the values of
m=2,6,10,14,18 then m/2 is NOT an even integer - all the values of m are integers and are even
I didn't select m=3,5,7 as m/2 is NOT an integer(Value is a decimal).
I didn't select m=4,8,12,16 as m/2 is an EVEN integer
When the statement is stating m/2 is NOT an even integer does that mean the value of m/2 can be an odd integer and also a decimal?Please clarify.
Can you explain the statement statement "m/2 is NOT an even integer". Please find my explanation below.
I took the values of
m=2,6,10,14,18 then m/2 is NOT an even integer - all the values of m are integers and are even
I didn't select m=3,5,7 as m/2 is NOT an integer(Value is a decimal).
I didn't select m=4,8,12,16 as m/2 is an EVEN integer
When the statement is stating m/2 is NOT an even integer does that mean the value of m/2 can be an odd integer and also a decimal?Please clarify.
It's written in the question "m/2 is not an even integer" which means it can be any value other then even integers & we can select values of m = "3 ,5,7" as they are integers for checkingprashanthichennupati wrote:Thanks Mitch for the explanation.
Can you explain the statement statement "m/2 is NOT an even integer". Please find my explanation below.
I took the values of
m=2,6,10,14,18 then m/2 is NOT an even integer - all the values of m are integers and are even
I didn't select m=3,5,7 as m/2 is NOT an integer(Value is a decimal).
I didn't select m=4,8,12,16 as m/2 is an EVEN integer
When the statement is stating m/2 is NOT an even integer does that mean the value of m/2 can be an odd integer and also a decimal?Please clarify.
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GMATGuruNY
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Correct.prashanthichennupati wrote: When the statement is stating m/2 is NOT an even integer does that mean the value of m/2 can be an odd integer and also a decimal?Please clarify.
As long as m is an integer, m/2 can be ANY VALUE OTHER THAN AN EVEN INTEGER.
Thus, m/2 can be odd (as when m=6) or a noninteger (as when m=3).
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I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
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