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What is the middle number of 7 consecutive whole numbers? I. Product of number is 702800. II. sum of the the number is 105.

if statement I alone is sufficient to answer the question.
if statement II alone is sufficient to answer the question.
if both statement I and II together are necessary to answer the question.
if both statement I and II together are not sufficient to answer the question.

Correct Answer: if statement II alone is sufficient to answer the question.

Explanation:

Let the 7 consecutive whole numbers be (n ± 3), (n ± 2), (n ± 1), n.
Now i we consider Statement I alone
Product of these 7 integers = 702800
Since 702800 = 2⁴ 5² (251)(7), it cannot be the product of 7 consecutive whole numbers. Hence I alone is insufficient.
Now if we consider Statement II alone
Given that their sum = 105 = 7n or n = 15 and then 7 consecutive integers are 12, 13, 14, 15, 16, 17, 18 So, II alone is sufficient.

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What is the middle number of 7 consecutive whole numbers? I. Product of number is 702800. II. sum of the the number is 105.

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