Two Statements S1 and S2 are given below followed by a Question :
1. S1: n is a prime number.
2. S2: n leaves a remainder of 1 when divided by 4.
3. 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: Option D
Explanation
1. **Identify the Range:** The question asks for a number *between* 10 and 20. This gives us a very small list of candidates: **{11, 12, 13, 14, 15, 16, 17, 18, 19}** [74].
2. **Test Statement