Question

Select the option in which the numbers are related in the same way as are the numbers in the given set. 
(9, 217, 8)

• A. (4, 37, 3)
• B. (2, 76, 5)
• C. (5, 625, 6)
• D. (3, 49, 2)

Hint:

To solve such number relationship problems, identify the pattern between the numbers and check if the same pattern applies to the Option.

Answer 1

The Correct Option is A

Step 1: Let's analyze the relationship between the numbers in the given set (9, 217, 8). 
- The first number is 9. 
- The second number, 217, can be formed as \( 9^3 - 8 = 217 \). 
- The third number is 8. Thus, the relationship is that the second number is the cube of the first number minus the third number. 
Step 2: Applying the same relationship to the Option: 
- In option (A), \( 4^3 - 3 = 64 - 3 = 37 \), which matches the second number. 
Thus, the correct answer is option (A) (4, 37, 3).