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What is the remainder when +ve integer ‘n’ is divided by 3?
1) Remainder when ‘n’ is divided by 2 is 1
2) Remainder when ‘n + 1’ is divided by 3 is 2
2) Remainder when ‘n + 1’ is divided by 3 is 2
- 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 'A'. Can you explain this answer?
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Most Upvoted Answer
What is the remainder when +ve integer ‘n’ is divided by 3...
Statement Analysis
Statement 1: Remainder when 'n' is divided by 2 is 1
- This statement alone does not provide any information about the remainder when 'n' is divided by 3.
- It only gives information about the remainder when 'n' is divided by 2.
Statement 2: Remainder when 'n + 1' is divided by 3 is 2
- This statement also does not directly give the remainder when 'n' is divided by 3.
- It gives information about the remainder when 'n + 1' is divided by 3, which is not directly related to the original question.
Combining Statements:
- If we consider both statements together, we can deduce the following:
- From statement 1, we know that 'n' leaves a remainder of 1 when divided by 2.
- From statement 2, we know that 'n + 1' leaves a remainder of 2 when divided by 3.
- Combining these two statements, we can say that 'n' is of the form 2x + 1 and 'n+1' is of the form 3y + 2.
- By considering different values of 'x' and 'y', we can find that the remainder when 'n' is divided by 3 will always be 1.
Conclusion:
- Therefore, based on the information provided in the statements, we can conclude that the remainder when the positive integer 'n' is divided by 3 will always be 1.
- Hence, the correct answer is that exactly one of the statements can answer the question.
Statement 1: Remainder when 'n' is divided by 2 is 1
- This statement alone does not provide any information about the remainder when 'n' is divided by 3.
- It only gives information about the remainder when 'n' is divided by 2.
Statement 2: Remainder when 'n + 1' is divided by 3 is 2
- This statement also does not directly give the remainder when 'n' is divided by 3.
- It gives information about the remainder when 'n + 1' is divided by 3, which is not directly related to the original question.
Combining Statements:
- If we consider both statements together, we can deduce the following:
- From statement 1, we know that 'n' leaves a remainder of 1 when divided by 2.
- From statement 2, we know that 'n + 1' leaves a remainder of 2 when divided by 3.
- Combining these two statements, we can say that 'n' is of the form 2x + 1 and 'n+1' is of the form 3y + 2.
- By considering different values of 'x' and 'y', we can find that the remainder when 'n' is divided by 3 will always be 1.
Conclusion:
- Therefore, based on the information provided in the statements, we can conclude that the remainder when the positive integer 'n' is divided by 3 will always be 1.
- Hence, the correct answer is that exactly one of the statements can answer the question.
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What is the remainder when +ve integer ‘n’ is divided by 3?1) Remainder when ‘n’ is divided by 2 is 12) Remainder when ‘n + 1’ is divided by 3 is 2 a)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 'A'. Can you explain this answer?
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Solutions for What is the remainder when +ve integer ‘n’ is divided by 3?1) Remainder when ‘n’ is divided by 2 is 12) Remainder when ‘n + 1’ is divided by 3 is 2 a)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 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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