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Two Statements Si and S2 are given below followed by a Question:
Statements:
S1: n is a prime number.
​S2: n leaves a remainder of 1 when divided by 4.
Question:
If n is a unique natural number between 10 and 20, then what is n?
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)
    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 'D'. Can you explain this answer?
Most Upvoted Answer
Two Statements Si and S2 are given below followed by a Question:Statem...
Given:
S1 : n is a prime number.
S2 : it leaves a remainder of 1 when divided by 4.
Calculation:
Between 10 to 20 prime numbers are 11, 13, 17, 19.
And 11/4 ,13/4, 17/4, 19/4
Remainder 11/4 ,13/4, 17/4, 19/4 are 3, 1, 1, 3
We could not find the given two statement.
∴  S1 and S2 together are not sufficient to answer the Question. 
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Community Answer
Two Statements Si and S2 are given below followed by a Question:Statem...
Explanation:

The given statements are:

S1: n is a prime number.
S2: n leaves a remainder of 1 when divided by 4.

The given question is:

If n is a unique natural number between 10 and 20, then what is n?

To answer this question, we need to analyze the given statements.

Analysis:

Statement S1: n is a prime number.

If S1 is true, then we can say that n can be any of the following prime numbers between 10 and 20: 11, 13, 17, and 19.

Statement S2: n leaves a remainder of 1 when divided by 4.

If S2 is true, then we can say that n can be any of the following numbers between 10 and 20: 13 or 17.

Combining S1 and S2, we can say that n can be either 13 or 17, as they are the only prime numbers between 10 and 20 that leave a remainder of 1 when divided by 4.

Therefore, we can see that S1 and S2 together are not sufficient to answer the given question, as there are two possible values of n.

Answer:

Option D is the correct answer, as S1 and S2 together are not sufficient to answer the given question.
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Two Statements Si and S2 are given below followed by a Question:Statements:S1: n is a prime number.S2: n leaves a remainder of 1 when divided by 4.Question:If n is a unique natural number between 10 and 20, then what is n?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)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 'D'. Can you explain this answer?
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Two Statements Si and S2 are given below followed by a Question:Statements:S1: n is a prime number.S2: n leaves a remainder of 1 when divided by 4.Question:If n is a unique natural number between 10 and 20, then what is n?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)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 'D'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two Statements Si and S2 are given below followed by a Question:Statements:S1: n is a prime number.S2: n leaves a remainder of 1 when divided by 4.Question:If n is a unique natural number between 10 and 20, then what is n?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)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 'D'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two Statements Si and S2 are given below followed by a Question:Statements:S1: n is a prime number.S2: n leaves a remainder of 1 when divided by 4.Question:If n is a unique natural number between 10 and 20, then what is n?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)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 'D'. Can you explain this answer?.
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