sum of two integers

[gmattrap]

If the sum of two integers is 6, then it must be true that

(A) both integers are even

(B) both integers are odd

© both integers are positive

(D) if one integer is negative, the other is positive

(E) if one integer is positive, the other is negative

 

What's the diff b/w D & E?

[mr_sriramesh]

8 + (-2) (both even)

3 + 3 (both odd)

3 + 3 (both positive)

8 + (-2) (positive and negative)

(-2) + 8 (negative and positive)

 

Is the answer choice is like

 

(1) A,B

(2) A,b,c,d,e

etc

[GREMAT]

The difference between the D and E choices is in this:

D) if one integer is negative, than the other MUST be positive to sum 6 (-2+8)

E) if one integer is positive, the other may and may not be negative.

For instance, 3+3= 6 (both positive) BUT 8-2=6 (pos. and neg.)

Hence, the answer is D.

HTH.

[gmattrap]

D: if one integer is +ve, the other is -ve

E: if one integer is -ve, the other is +ve

The grammar sense employed in D & E doesn't seem to suggest any difference b/w the two. Just swapping the positions of -ve & +ve: see e.g given by sriramesh

Consider: X + Y = N (even)

X & Y MUST both be odd OR even [O+O = E+E = E]........O=odd; E=even

Both X & Y can be +ve; If X or Y is -ve, the other MUST be +Ve: That's the point of D & E.

I think there is an error in the q. OA = D.

[asdada1]

D for me

[gmattrap]

I seeeee. D it is. Thanks Gremat.

[Naku]

D it is.

[nikiforos]

Another vote for D

[LegoLife]

My answer is D.

 

Agree to the above explanations.

[pandeyrav]

Another D

[Phlip]

With E, the other one can also be positive. So D

[pasu]

Ans is D ... If one integer is -ve the other MUST be +ve.

[bads123]

Looks like question is wrong.

D and E are same

[avinish]

Thanks GREMAT... its took me a while to figure that out...

you re right...its D

[alactraz]

D and E are different

(A) both integers are even--> both integers could be odd

(B) both integers are odd---> both integer could be even

© both integers are positive ---> one of integer could be negative

(D) if one integer is negative, the other is positive

x+y=6

if one is negative, ex: -2, and to make sum of two integers is 6, the other MUST BE positive, ex: 8

 

(E) if one integer is positive, the other is negative (MAY BE)

for ex: if one is positive, ex 8, than the other is negative, ex (-2) so sum of the integers will be 6.

But what about:

if one is positive, ex 2, is the other integer negative? since 4 is a positive number, the answer is No.

 

IMO D

[Artemov]

Clear D.

[MTG123]

Another vote for D

[MTG123]

D is the ans

[1bbinfo]

Another vote for D.