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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
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;
  • d)
    EACH statement ALONE is sufficient to answer the question asked;
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed. 
Correct answer is option 'E'. Can you explain this answer?

Answers

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 ways.
Values that satisfy X × Y = 30
Evaluate Statement (1) ALONE: X is an odd integer
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 information in statement 1 we will not be able to deduce a UNIQUE value for X.
Statement 1 ALONE is NOT sufficient.
Eliminate choices A and D. Choices narrow down to B, C, or E.
Evaluate Statement (2) ALONE: X > Y
From this statement, we know that the value of X > Y.
From the combinations listed in the table above, X can take more than one value. Here are two possibilities: X could be 10 and Y could be 3. Or X could be 30 and Y could be 1.
Hence, using information in statement 2, we will not be able to find a UNIQUE value for X.
Statement 2 ALONE is NOT sufficient.
Eliminate choice B. Choices narrow down to C or E.
Evaluate Statements (1) & (2) Together: X is an odd integer and X > Y
Values of X and Y that satisfy both the conditions are
More than one value exists for X. Because we are not able to deduce a UNIQUE value for X using information provided in the two statements together, the given data is NOT sufficient.
Statements TOGETHER are NOT SUFFICIENT. Choice E is the answer.

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Question Description
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 > Ya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? for GMAT 2023 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about 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 > Ya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2023 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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 > Ya)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked;b)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked;c)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked,but NEITHER statement ALONE is sufficient;d)EACH statement ALONE is sufficient to answer the question asked;e)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed.Correct answer is option 'E'. Can you explain this answer?.
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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 ways.Values that satisfy X × Y = 30Evaluate Statement (1) ALONE: X is an odd integerFrom 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 information in statement 1 we will not be able to deduce a UNIQUE value for X.Statement 1 ALONE is NOT sufficient.Eliminate choices A and D. Choices narrow down to B, C, or E.Evaluate Statement (2) ALONE: X > YFrom this statement, we know that the value of X > Y.From the combinations listed in the table above, X can take more than one value. Here are two possibilities: X could be 10 and Y could be 3. Or X could be 30 and Y could be 1.Hence, using information in statement 2, we will not be able to find a UNIQUE value for X.Statement 2 ALONE is NOT sufficient.Eliminate choice B. Choices narrow down to C or E.Evaluate Statements (1) & (2) Together: X is an odd integer and X > YValues of X and Y that satisfy both the conditions areMore than one value exists for X. Because we are not able to deduce a UNIQUE value for X using information provided in the two statements together, the given data is NOT sufficient.Statements TOGETHER are NOT SUFFICIENT. Choice E is the answer.