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If the LCM of 16, X and 40 is 160, then find which of the statement is /are sufficient to find the exact value of X. I. X is an even number II.
Question

The following question are accompanied by two statements i.e. statement (I) and statement (II). You have to determine which statement (s) is/are sufficient/necessary to answer the question.

If the LCM of 16, X and 40 is 160, then find which of the statement is /are sufficient to find the exact value of X.
I. X is an even number
II. X is multiple of 5.

A.

Neither statement (I) nor statement (II) by itself is sufficient to answer the question.

B.

Statement (II) alone is sufficient to answer the question but statement (I) alone is not sufficient to answer the question.

C.

Either statement (I) or statement (II) by itself is sufficient to answer the question.

D.

Both the statements taken together are necessary to answer the questions, but neither of the statements alone is sufficient to answer the question.

E.

Statement (I) alone is sufficient to answer the question but statement (II) alone is not sufficient to answer the questions.

Correct option is B


LCM = 160
16=2×8
40=5×8
So, for 160 LCM, X can be 32 or 160
32 = 2×2×8
160 = 2×2×5×8
From I. 32 & 160 both are multiple of 2, so we can’t determine exact value of X
From II. 160 is divisible by 5, so only II possible to find exact value of X

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