Question:medium

A series has 8 numbers. What is the last number of the series?
Statement 1: Sum of first 4 numbers in a series is 60
Statement 2: The numbers of series are prime numbers greater than10 in ascending order.

Updated On: Jan 13, 2026
  • Statement (1) alone is sufficient to answer the question
  • Statement (2) alone is sufficient to answer the question
  • Both the statements together are needed to answer the question
  • Either statement (1) alone or statement (2) alone is sufficient to answer the question
  • Neither statement (1) nor statement (2) suffices to answer the question
Show Solution

The Correct Option is C

Solution and Explanation

The correct answer is option (C):
Both the statements together are needed to answer the question

Here's the breakdown of why the correct answer is "Both the statements together are needed to answer the question":

Statement 1: The sum of the first four numbers is 60. This statement provides information about the beginning of the series, but it doesn't give us the individual values of the numbers or tell us anything about the last number (the 8th). Therefore, statement 1 alone isn't sufficient.

Statement 2: The series consists of prime numbers greater than 10 in ascending order. This gives us the rule for generating the series (prime numbers > 10, in order), but it doesn't tell us how many numbers are in the series. We know we need 8 numbers. Statement 2 alone isn't sufficient.

Combining the statements:

Statement 1 tells us we are dealing with a series of 8 numbers, although not the actual numbers.
Statement 2 tells us that these 8 numbers must be prime numbers greater than 10. We can list the first 8 prime numbers greater than 10. They are 11, 13, 17, 19, 23, 29, 31, and 37. Therefore, the last number is 37.

Because we need both pieces of information to solve the problem, the correct answer is that both statements together are needed.
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