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Question 30

Is n odd?
I. n is divisible by 3, 5, 7 and 9.
II. 0 < n < 400

Solution

Let's consider the statements one by one.

Statement 1: n is a multiple of HCF(3,5,7,9) = 315. Hence, n can be 315, 630, 945 .... Hence we cannot say if n is odd or even.

Statement 2: 0<n<400, we cannot say if n is odd or even.

Taking both statements together, n=315. Hence, it is odd.

Thus the question can be answered using both statements together.

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