GMAT Club Around The World!!! If the product of integer m and integer

The product of 2 even numbers or the product of an even and an odd number is always even.

The product of 2 numbers can be odd only if both are odd.

Therefore m and n are odd numbers.

For 2 Odd numbers (Considering that the final answer is an integer)

(i) Odd + Odd = Even

(ii) (Odd - Odd) = Even

(iii) Odd / Odd = Odd

Therefore m - n will result in an odd number.


Option B

Arun Kumar
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If the product of integer m and integer n is odd, then which must be even?

A. n/m
B. m - n
C. m + 2n
D. m/n - 1
E. 2*(m/n)


clearly the answer is b) m- n as both m and n are odd integers answer of exp has to be even

Odd by odd gives an odd result
So the difference between 2 odds is even

Push B

Posted from my mobile device

m & n are both odd

A. n/m........can be odd/fraction. Eliminate
B. m - n.......odd-odd = even (may be positive/negative, but always even). Correct
C. m + 2n....will always be odd. Eliminate
D. m/n - 1......can be even/fraction. Eliminate
E. 2*(m/n)......can be even/fraction. Eliminate

IMO Option B

IMO B

m*n = odd
=> m and n are odd
odd * odd = odd


A. n/m - Incorrect
this may not be an integer

B. m - n - Correct
odd - odd = even

C. m + 2n - Incorrect
odd + even = odd

D. m/n - 1 - Incorrect
this may not be an integer

E. 2*(m/n) - Incorrect
even * number = even

Askwd:If the product of integer m and integer n is odd, then which must be even?

If m×n is odd, then m is odd and n is odd.
m-n is odd -odd = even

IMO B

Posted from my mobile device

Let, m=9, n=3, mn=27 is an odd number

9/3=3*2=6 is even.

A. n is not divisible by m.

B. Odd-odd = Odd

C. Odd x even=even, and Odd+even=Odd,

D. Will result fraction.

E. Will be even.

The answer is E.

Given, product of integer m and integer n is odd. So, m and n both are odd numbers.

A. n/m ->May be odd or non-integer.
B. m - n ->must be even
C. m + 2n ->Must be odd.
D. m/n - 1 ->May be even or non-integer.
E. 2*(m/n) ->May be even or non-integer.

So, I think B.

Correct Answer B

If the product of integer m and integer n is odd, then which must be even?
m*n = odd, means m and n are odd
A. n/m
- maybe a fraction

B. m - n
odd- odd = Even

C. m + 2n
ood + even = odd

D. m/n - 1
maybe fraction

E. 2*(m/n)
- maybe a fraction

Since the product is odd. Thus, m and n are both odd integers.

Thus, after going through the options:

A) can be odd and even
b)must be even
C) must be odd (odd + even)
D) can be odd and even
E) must be odd (if the integers are divisible)

IMO option B is the answer.

We are given that the product of 2 integers m and n is odd so both the integers will be odd.
A. n/m - The result will be either an odd number or a decimal
B. m - n - The result will be always even as subtraction of two odd integers gives an even integer
C. m+2n - The result will be always odd as 2n will yield an even value and when we add an even value to odd then the result is always odd
D. m/n - 1 - The result will be either an odd number or a decimal
E. 2*(m/n) - The result will be dependent on the value of m/n. If m/n yields an integer value then the result will be an even value. If it yields a decimal value like 1.5 then the result will be an odd value.

So the answer will be B