Question

For some integer q, every odd integer is of the form
(A)q
(B)q+ 1
(C) 2q
(D) 2q+ 1

Answer 1

@dan815

Answer 2

D

Answer 3

same reasons 2q+1 if 2q/2 = remained = 0 then 2q+1 gives u remainder 1 therefore odd

Answer 4

2q makes sure the result will be even. By adding one to it, you make sure it will be odd

Answer 5

Can I get the basic conception here ?

Answer 6

Try with each option by putting up some random values . Answer would be D

Answer 7

Any number (even or odd) that is multiplied with 2 gives an even number as a result. Ok with that?

Answer 8

q+1, and q for all integers can be either odd or ever

Answer 9

If you multiply 4 with 2 you get 8 (even). If you multiply 11 with 2, you get 22 (even). Every number that is multiplied with 2 gives an even number (multiple of 2).

Answer 10

2q must be even as it is divisible by 2
2q+1 must be odd as its a number that is divisible by 2 + 1 therefore will have remainder of 1

Answer 11

will have a remainder of 1 when divided by 2*