Out of 64 students 38 play both chess and crickets How many students play only chess I Out of 64 stu...........

Logical Reasoning(Master ) Data Sufficiency

Out of 64 students, 38 play both chess and crickets. How many students play only chess?

I. Out of 64 students, 22 students don't play any game. 4 student play only cricket.

II. Out of 64 students, 20 are girls and 10 of them don't play any game.

if the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

if the data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

if the data either in statements I alone or in statement II alone are sufficient to answer the question; and

if the data given in both the statement I and II together are not sufficient to answer the question; and

if the data in both the statements I and II together are necessary to answer the question.

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Explanation:

From I: 22 students don't play any game.
Which means 64 - 22 =42 play either chess or cricket.
Now, either chess or cricket = only chess + only cricket + Chess and Cricket or 42 = only chess = 0
From II; We don't get information about boys.Hence II is also sufficient.