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X,Y

by shashank.ism » Tue Feb 09, 2010 12:21 pm
What is the value of X, if X and Y are two distinct integers and their product is 30?
1. X is an odd integer
2. X > Y

OA is E
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by harsh.champ » Tue Feb 09, 2010 12:23 pm
shashank.ism wrote:What is the value of X, if X and Y are two distinct integers and their product is 30?
1. X is an odd integer
2. X > Y

OA is E
From the question, we know that both X and Y are distinct integers and their product is 30.

30 can be obtained as a product of two distinct integers in the following manner


1 * 30 (-1) * (-30)
2 * 15 (-2) * (-15)
3 * 10 (-3) * (-10)
5 * 6 (-5) * (-6)
Statement 1:
From this statement, we know that the value of X is odd. Therefore, X can be one of the following values: 1, -1, 3, -3, 5, -5. So, using the information in statement 1 we will not be able to conclusively decide the value of X. Hence, statement 1 alone is not sufficient to answer the question. Hence, answer choices (A) and (D) can be eliminated.



Statement 2:
From this statement, we know that the value of X > Y. From the given combinations, X can take more than one value. Hence, using the information in statement 2, we will not be able to find the value of X. Therefore, we can eliminate answer choice (B).



Combining the two statements, we know that X is odd and that the value of X > Y.


Values of X and Y that satisfy both the conditions include X taking the value of -1, -3 and -5.



As the information provided in the two statements independently or together are not sufficient to answer the question, the correct answer is Choice (E).
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