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
Math Sets
This topic has expert replies
-
- Junior | Next Rank: 30 Posts
- Posts: 11
- Joined: Sun Mar 11, 2007 6:53 pm
hi,
I would like to differ on this
My answer would be both D and E
a=8 b=4
a)a/2=8/2=4
b)b/2=4/2=2
c)(a+b)/2=(8+4)/2=12/2=6
d)(a+2)/2=(8+2)/2=10/2=5(odd)
e)(b+2)/2=(4+2)/2=6/2=3(odd)
Hope u agree with me
I would like to differ on this
My answer would be both D and E
a=8 b=4
a)a/2=8/2=4
b)b/2=4/2=2
c)(a+b)/2=(8+4)/2=12/2=6
d)(a+2)/2=(8+2)/2=10/2=5(odd)
e)(b+2)/2=(4+2)/2=6/2=3(odd)
Hope u agree with me
-
- Master | Next Rank: 500 Posts
- Posts: 468
- Joined: Sat Mar 03, 2007 10:17 pm
- Thanked: 5 times
Since the question asks "must be true" its advisable to take two sets of values and work on it..
For example, take a=4 b=2 and a=8 and b=4 which are simple numbers which satisfy the condition stated in the question..
Substitute both of these values in each answer choice and you would find that only option (D) agrees to it..So the answer is (D)..Whats the OA?
For example, take a=4 b=2 and a=8 and b=4 which are simple numbers which satisfy the condition stated in the question..
Substitute both of these values in each answer choice and you would find that only option (D) agrees to it..So the answer is (D)..Whats the OA?
Maxx