Answer:
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Explanation:
Consider the provided information.
Can the positive integer p be expressed as the product of two integers, each of which is greater than 1.
Statement 1: 31 < p < 37
The value of p is greater than 31 and less than 37.
Thus the possible values of p are: 32, 33, 34, 35, 36
All these numbers can be expressed as the product of two integers. Each of which is greater than 1,
Hence, statement 1 Alone is Sufficient.
Statement 2: p is odd
The statement is not sufficient because All prime numbers are odd numbers and if p is a prime number then p can't be expressed as the product of two integers, each of which is greater than 1.
Although if p is odd it is not necessarily to be prime for example 9 is an odd number but not a prime number. 9 can be expressed as the product of two integers, each of which is greater than 1.
Therefore, statement 2 Alone is not sufficient.