Can the +ve integer P be expressed as the product of two integers, each of which is greater than 1 ?

1)31 < P < 37

p = 32 or 33 or 34 or 35 or 36.
32 = 16*2,
33 = 11*3,
34 = 17*2,
35 = 7*5,
36 = 6*6. So, Yes P can be expressed as the product of two integers, each of which is greater than 1. Sufficient!

2)P is odd

If P = 3 then P canNOT be expressed as the product of two integers
If P = 21 then P can be expressed as the product of two integers. Two different answers hence Insufficient!

IMO A

The question can be rephrased to

Is Positive Integer P a non-Prime number?

1)31 < P < 37

There is no prime number between 31 and 37. So, P is a non-Prime number. Sufficient!

2)P is odd

P can be 3(Prime) or 21 (non-Prime). Two different answers. Hence Insufficient!
IMO A