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Is integer y divisible by 16?
1) y is divisible by 8
2) 2y is divisible by 16
- a)Exactly one of the statements can answer the question
- b)Both statements are required to answer the question
- c)Each statement can answer the question individually
- d)More information is required as the information provided is insufficient to answer the question
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Is integer y divisible by 16?1) y is divisible by 82) 2y is divisible ...
Solution:
To determine whether y is divisible by 16, we need to check whether it is divisible by 2^4.
Statement 1: y is divisible by 8
If y is divisible by 8, then it is also divisible by 2^3. However, we cannot determine whether y is divisible by 2^4. For example, y could be 8, 16, or 24, which are all divisible by 8 but only 16 is divisible by 2^4. Thus, statement 1 alone is insufficient.
Statement 2: 2y is divisible by 16
If 2y is divisible by 16, then it is also divisible by 2^4. However, we cannot determine whether y is divisible by 2^4. For example, if 2y = 32, then y could be 16, which is divisible by 2^4, or it could be any odd integer, which is not divisible by 2^4. Thus, statement 2 alone is insufficient.
Combined statements:
If we combine the two statements, we know that y is divisible by 8 and 2y is divisible by 16. From statement 1, we know that y is divisible by 2^3, and from statement 2, we know that 2y is divisible by 2^4. Therefore, y must be divisible by 2^4. For example, if 2y = 32, then y = 16, which is divisible by 2^4. However, if 2y = 48, then y = 24, which is not divisible by 2^4. Thus, even when the statements are combined, we cannot determine whether y is divisible by 2^4.
Therefore, the correct answer is option (D) - more information is required as the information provided is insufficient to answer the question.
To determine whether y is divisible by 16, we need to check whether it is divisible by 2^4.
Statement 1: y is divisible by 8
If y is divisible by 8, then it is also divisible by 2^3. However, we cannot determine whether y is divisible by 2^4. For example, y could be 8, 16, or 24, which are all divisible by 8 but only 16 is divisible by 2^4. Thus, statement 1 alone is insufficient.
Statement 2: 2y is divisible by 16
If 2y is divisible by 16, then it is also divisible by 2^4. However, we cannot determine whether y is divisible by 2^4. For example, if 2y = 32, then y could be 16, which is divisible by 2^4, or it could be any odd integer, which is not divisible by 2^4. Thus, statement 2 alone is insufficient.
Combined statements:
If we combine the two statements, we know that y is divisible by 8 and 2y is divisible by 16. From statement 1, we know that y is divisible by 2^3, and from statement 2, we know that 2y is divisible by 2^4. Therefore, y must be divisible by 2^4. For example, if 2y = 32, then y = 16, which is divisible by 2^4. However, if 2y = 48, then y = 24, which is not divisible by 2^4. Thus, even when the statements are combined, we cannot determine whether y is divisible by 2^4.
Therefore, the correct answer is option (D) - more information is required as the information provided is insufficient to answer the question.
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Is integer y divisible by 16?1) y is divisible by 82) 2y is divisible ...
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Is integer y divisible by 16?1) y is divisible by 82) 2y is divisible by 16a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'D'. Can you explain this answer?
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Is integer y divisible by 16?1) y is divisible by 82) 2y is divisible by 16a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Is integer y divisible by 16?1) y is divisible by 82) 2y is divisible by 16a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is integer y divisible by 16?1) y is divisible by 82) 2y is divisible by 16a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'D'. Can you explain this answer?.
Is integer y divisible by 16?1) y is divisible by 82) 2y is divisible by 16a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'D'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Is integer y divisible by 16?1) y is divisible by 82) 2y is divisible by 16a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is integer y divisible by 16?1) y is divisible by 82) 2y is divisible by 16a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'D'. Can you explain this answer?.
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