Directions: Below question is followed by two statements labelled I and II. Decide if these statements are sufficient to conclusively answer the question. Choose the appropriate answer from the options given below: Is positive integer K > 5? I. K is a factor of 30 II. K is not a factor of 120

Directions: Below question is followed by two statements labelled I and II. Decide if these statements are sufficient to conclusively answer the question. Choose the appropriate answer from the options given below:

Is positive integer K > 5?

I. K is a factor of 30

II. K is not a factor of 120

A Statement I alone is sufficient to answer the question.

B Statement II alone is sufficient to answer the question.

C Statement I and Statement II together are sufficient, but neither of the two alone is sufficient to answer the question.

D Either Statement I or Statement I alone is sufficient to answer the question.

E Neither Statement I nor Statement II is necessary to answer the question.

Solution

Correct Answer: Option B

From Statement 1

K can be 1, 2, 3, 5, 6, 10, 15, 30.

∴ K can be < or > than 5.

Thus, statement 1 alone is insufficient to answer the question.

From Statement 2

K can NOT be 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60 or 120.

As K cannot take any values between 1 and 6, (and K is positive)

∴ K > 5.

Thus, statement 2 alone is sufficient to answer the question.

Solution

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