the ans will be C.
We are give positive integer.
14 = 1*2*7
so, either the number is 127 or 721 or 172
From 1 , the number is odd.
It can be 127 or 721, insuff.
from 2, the number < 700
it can still be 127 or 172
combining both,
odd and less than 700 is only 127.
Hence ans is C

Should we not consider all the possible values?

As in, I thought we would get 6 different combinations of 14
127, 172, 217,271,712 and 721

Now, from one,
we can say that K will be one among -> 127, 217,271 and 721

From two,
we can say that K will be one among -> 127, 172,217 and 271.

Combining both, we still cant find one single value for K..

So answer should be E..

Correct me If I am wrong.

i go with E
we need to consider all options:
127, 172, 217, 271, 721, 712
now (1) odd number leaves - 127, 217, 271, 721 - insufficient
(2) less than 700 gives 4 options - insufficient
(1) & (2) together also give more than one option - insufficient
answer is E

yeah OA=E