Four sets of numbers have been given below. Out of which, three are alike in…

To identify the odd one out, let's analyze the relationship between the three numbers in each set (A, B, C).

Step-by-Step Analysis
We check if the third number (C) follows a consistent pattern based on the first two (A and B).

Option 1: (6, 8, 100)

Pattern: (A * A) + (B * B) = C

(6 * 6) + (8 * 8) = 36 + 64 = 100. This fits the pattern.

Option 2: (5, 9, 99)

Pattern: (A * A) + (B * B) = C

(5 * 5) + (9 * 9) = 25 + 81 = 106.

Since 106 is not equal to 99, this set does not fit the pattern.

Option 3: (3, 9, 90)

Pattern: (A * A) + (B * B) = C

(3 * 3) + (9 * 9) = 9 + 81 = 90. This fits the pattern.

Option 4: (7, 8, 113)

Pattern: (A * A) + (B * B) = C

(7 * 7) + (8 * 8) = 49 + 64 = 113. This fits the pattern.

Identifying the Odd One
Comparing the sets, the rule that the third number is the sum of the squares of the first two numbers applies to Options 1, 3, and 4. Option 2 is the only set that fails this rule.