S1: Their product is 21

Two Statements S1 and S2 are given below with regard to two numbers followed by a Question

  • S1: Their product is 21.
  • S2: Their sum is 10.

Question: What are the two numbers?

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: C

Explanation

According to S1, the product of numbers is 21.

So, numbers can be: (3, 7) or (1, 21)

According to S2, sum of numbers is 10.

So, numbers can be: (1, 9), (2, 8), (3, 7), (4, 6) or (5, 5)

Either of the two statements alone is not sufficient to answer the question. If we read both the statements together, we can see that the required two numbers with product of 21 and sum of 10 are: (3, 7)

Hence, we can say that both S1 and S2 together are sufficient to answer the question.

  • Exam Year: 2020