Anurag@Gurome wrote:

nehatandon wrote:If t is an integer, is t odd?
(1)t/3 is not an integer.
(2)t-1/3 is not an integer.

Statement 1: (t/3) is not an integer.
Implies t is not divisible by 3. This doesn't help us to conclude whether t is even or odd. Consider,

• 1. t = 5 => Odd
  2. t = 8 => Even

Not sufficient.

Statement 2: (t - 1)/3 is not an integer.
Implies (t - 1) is not divisible by 3. This also doesn't help us to conclude whether t is even or odd. Consider the same examples as above.


Not sufficient.

1 & 2 Together: t and (t - 1) both are not divisible by 3. Hence (t + 1) must be divisible by 3. But this also does not help us to conclude whether t is even or odd. Consider the same examples as above.

Not sufficient.

The correct answer is E.

Thanks Anurag. I think for this type of problem plugging in number is the best choice. Your examples made it clear.
Thanks for the solution.

hey Anurag,
Just tried this problem.

I think I went wrong somewhere, you will be the best person to tell me.

1> insuff-agreed
2>insufficient-agreed


1+2

if i start picking numbers from 24,25,26,27,28

cant take 24,27 as both are divisible by 3 hence contradicts statement 1.
cant take 25 or 28 as this value of t contradicts statement 2.
So the only value which remains in this range is 26


additinally if we take (t-1)(t)(t+1) as a set of 3 consequetive integers, for t-1 and t to be non mumtiples of 3 they must be the pair of numbers (7,8)(13,14)(25,26). so t is always even here (8,14,26)

which satisfies both statements.

Hence T is not Odd.

answer C.

please let me know where I erred.

Got it, thank you Anurag