If a and b are positive integers such that (a - b) and (a/b) are both even integers, which of the following must be an odd integer?
A. a/2
B. b/2
C. (a+b)/2
D. (a+2)/2
E. (b+2)/2
I am getting answer None of these but answer given at end is C.Plz confirm
simple integer ques......But still not getting.need Help????
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It's definite that both a and b are even positive integers such that a > b and a = k b, where k again is an even positive integer.pardeep_10sharma wrote:If a and b are positive integers such that (a - b) and (a/b) are both even integers, which of the following must be an odd integer?
A. a/2
B. b/2
C. (a+b)/2
D. (a+2)/2
E. (b+2)/2
I am getting answer None of these but answer given at end is C.Plz confirm
(A) a/2 must be an even positive integer for 2 being the smallest possibility for b.
(B) b/2 may or may not be an odd integer, take a = 48, b = 8 & a = 48, b = 6 for better understanding the contradiction.
(C) The same examples for a and b as taken in explanation (B) above disapprove this option as well.
(D) Remember, whenever a/2 is an even positive integer, (a + 2)/2 is always an odd integer.
(E) [spoiler]Are we on some picnic or something?
(C) cannot be the OA from my point of view, check it again or take away (D)[/spoiler]
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Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001
www.manyagroup.com