Correct Answer:
Option B —
52
To find the missing number, look at how much the series increases with each step.
From 22 to 23, the number increases by 1 (1 multiplied by 1)
From 23 to 27, the number increases by 4 (2 multiplied by 2)
From 27 to 36, the number increases by 9 (3 multiplied by 3)
The amount being added follows the sequence of square numbers.
Following this pattern, the next step needs to add 16 (4 multiplied by 4). Adding 16 to 36 gives 52.
To verify, the final step from 52 to 77 adds 25 (5 multiplied by 5), which matches the series.
Therefore, the correct choice is B) 52.
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
