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31 August, 20:25

Can the positive integer p be expressed as the product of two integers, each of which is greater than 1?1) 31 < p < 372) p is odd

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  1. 31 August, 20:36
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    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

    Step-by-step 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.
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