Question

Two Statements S1 and S2 are given below followed by a Question :

S1 : n is a prime number.

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

Question :

If it 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?

1. S1 alone is sufficient to answer the Question.
2. S2 alone is sufficient to answer the Question.
3. S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question. 
4.  S1 and S2 together are not sufficient to answer the Question. 

Answer 1

Correct Answer - Option 4 :  S1 and S2 together are not sufficient to answer the Question. 

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.