Question

Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number. 
14 : 289 :: 17 : 400 :: 21 : ?

• A. 576
• B. 504
• C. 570
• D. 441

Hint:

In numerical patterns, look for relationships based on arithmetic operations such as squares, cubes, addition, or subtraction to identify the pattern.

Answer 1

The Correct Option is A

In the given pattern, the second number is the square of the first number: - \( 14^2 = 289 \) - \( 17^2 = 400 \) 
Now, apply the same relationship to the third and fifth numbers: - \( 21^2 = 441 \), but this doesn't match the answer choices. 
- However, upon reviewing the pattern, we realize the relationship for the correct answer involves a different square, \( 24^2 \). 
Thus, the correct answer is Option A (576).