The problem consists of a problem followed by two statements. Decide whether the data in the statements are sufficient to answer the question. Select your answer according to whether:
• (A) statement 1 alone is sufficient, but statement 2 alone is not sufficient to answer the question
• (B) statement 2 alone is sufficient, but statement 1 alone is not sufficient to answer the question
• (C) both statements taken together are sufficient to answer the question, but neither statement alone is sufficient
• (D) each statement alone is sufficient
• (E) statements 1 and 2 together are not sufficient, and additional data is needed to answer the question

Find the remainder when X is divided by 13?
I. X is an odd number
II. X is a smallest four digit number which has exactly three factors.

• B) only statement 2 is sufficient
• 9 years agoHelpfull: Yes(0) No(0)
• Statement I gives the information that X is an odd number, from this we can't say the answer because the possible values are 1,3,5,7,9,11,....................
  Statement I is not sufficient
  Statement II : X is a smallest four digit number which has exactly three factors
  Only square of a prime number has exactly three factors. Since X is the smallest four digit number which has exactly three factors, the possible value of x is 1369 i.e. 37*37. Therefore, the remainder is 4.
  Hence, only statement 2 is sufficient. Hence, the answer is option b.
  
  
• 9 years agoHelpfull: Yes(0) No(0)