Category: Non Verbal Reasoning1, 9, 25, 49, ?, 121. What will come at the place of question mark ?811009164

Step 1: Break Down the Problem

We need to identify the pattern in the series given: 1, 9, 25, 49, ?, 121. The first task is to analyze the numbers and find a logical sequence or relationship among them.

Step 2: Relevant Concepts

The numbers in the sequence appear to be perfect squares:

• $1 = 1^2$
• $9 = 3^2$
• $25 = 5^2$
• $49 = 7^2$
• $121 = 11^2$

It appears that the numbers are perfect squares of odd integers.

Step 3: Analysis and Detail

Observing the pattern:

• The sequence of odd integers corresponding to the squares is:
  • $1$ (first term)
  • $3$ (second term)
  • $5$ (third term)
  • $7$ (fourth term)

Following this pattern, the next odd integer would be $9$.

Calculating the missing term: $9^2 = 81$

Step 4: Verify and Summarize

The next term in the sequence, corresponding to $9$, is confirmed to be $81$. Thus, the series can be expressed as:

• $1^2, 3^2, 5^2, 7^2, 9^2, 11^2$
• Which translates to: $1, 9, 25, 49, 81, 121$

Final Answer

The number that will come in place of the question mark is $81$.