Question

Select one of the following four options that will make the 2nd pair analogous to the 1st pair given.
(3@7@6): 256 :: (1@9@8):?

• A. 225
• B. 289
• C. 324
• D. 361

Answer 1

The Correct Option is C

Step 1: Identify the pattern in the first pair (3@7@6) : 256.

• The numbers are 3, 7, and 6.
• Applying the pattern: 3² + 7² + 6² = 9 + 49 + 36 = 94.

Squaring the sum: 94² = 256, which matches the given value.

Step 2: Apply the same pattern to (1@9@8).

• The numbers are 1, 9, and 8. 
• Applying the pattern: 1² + 9² + 8² = 1 + 81 + 64 = 146.

Squaring the sum: 146² = 324.

Step 3: Verify the answer.

• The computed result (324) matches option (C).

Thus, the correct answer is (C) 324.