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Two statements S1 and S2 are given below followed by a Question:
S1: The sum of the digits of n is divisible by 3.
S2: The difference between the last two digits of n is divisible by 3.
Q: Is the integer n divisible by 3?
Which one of the following is correct in respect of the above Statements and the Question? 
  • a)
    S1 alone is sufficient to answer the Question.
  • b)
    S2 alone is sufficient to answer the Question.
  • c)
    Both S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
  • d)
    S1 and S2 together are not sufficient to answer the Question.
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two statements S1 and S2 are given below followed by a Question:S1: Th...
Statement 1: If the sum of the digits of n is divisible by 3, it means that n is divisible by 3. For example, the number 123 is divisible by 3. The sum of its digits = 1 + 2 + 3 = 6, which is also divisible by 3. Therefore, statement 1 alone is sufficient to answer the question.
Statement 2: If the difference between the last two digits of n is divisible by 3, it does not necessarily mean that n is divisible by 3. For example, the number 25 is not divisible by 3, even though the difference between its last two digits (5 - 2 = 3) is divisible by 3. While the number 30 is divisible by 3, and the difference between its last two digits (3 - 0 = 3) is also divisible by 3. Therefore, statement 2 alone is not sufficient to answer the question.
Hence, option (a) is the correct answer.
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Community Answer
Two statements S1 and S2 are given below followed by a Question:S1: Th...
Explanation:

Statement Analysis:
- S1: The sum of the digits of n is divisible by 3.
- S2: The difference between the last two digits of n is divisible by 3.

Reasoning:
- Statement S1 alone is sufficient to determine if n is divisible by 3. If the sum of the digits of n is divisible by 3, then n itself is divisible by 3.
- For example, if n = 27, the sum of the digits is 2 + 7 = 9, which is divisible by 3, and therefore, n is divisible by 3.

Conclusion:
- Therefore, statement S1 alone is sufficient to answer the question of whether the integer n is divisible by 3.
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Two statements S1 and S2 are given below followed by a Question:S1: The sum of the digits of n is divisible by 3.S2: The difference between the last two digits of n is divisible by 3.Q: Is the integer n divisible by 3?Which one of the following is correct in respect of the above Statements and the Question?a)S1 alone is sufficient to answer the Question.b)S2 alone is sufficient to answer the Question.c)Both S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.d)S1 and S2 together are not sufficient to answer the Question.Correct answer is option 'A'. Can you explain this answer?
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Two statements S1 and S2 are given below followed by a Question:S1: The sum of the digits of n is divisible by 3.S2: The difference between the last two digits of n is divisible by 3.Q: Is the integer n divisible by 3?Which one of the following is correct in respect of the above Statements and the Question?a)S1 alone is sufficient to answer the Question.b)S2 alone is sufficient to answer the Question.c)Both S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.d)S1 and S2 together are not sufficient to answer the Question.Correct answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two statements S1 and S2 are given below followed by a Question:S1: The sum of the digits of n is divisible by 3.S2: The difference between the last two digits of n is divisible by 3.Q: Is the integer n divisible by 3?Which one of the following is correct in respect of the above Statements and the Question?a)S1 alone is sufficient to answer the Question.b)S2 alone is sufficient to answer the Question.c)Both S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.d)S1 and S2 together are not sufficient to answer the Question.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two statements S1 and S2 are given below followed by a Question:S1: The sum of the digits of n is divisible by 3.S2: The difference between the last two digits of n is divisible by 3.Q: Is the integer n divisible by 3?Which one of the following is correct in respect of the above Statements and the Question?a)S1 alone is sufficient to answer the Question.b)S2 alone is sufficient to answer the Question.c)Both S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.d)S1 and S2 together are not sufficient to answer the Question.Correct answer is option 'A'. Can you explain this answer?.
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