Question

Choose the one which is different from the rest three:

• A. \( 431 \)
• B. \( 162 \)
• C. \( 831 \)
• D. \( 232 \)

Hint:

\textbf{Odd One Out Problems.} When solving 'odd one out' problems with numbers, consider basic mathematical properties like parity (even/odd), divisibility, sum of digits, primality, and relationships between the digits. Often, the difference lies in a fundamental characteristic shared by the majority of the items. In this case, the parity clearly separates the numbers into two groups.

Answer 1

The Correct Option is C

We are asked to identify the number(s) that are different from the remaining three. Let's analyze the given options based on fundamental properties: (A) Parity (Even or Odd): (B) 431 is an odd number. (C) 162 is an even number. (D) 831 is an odd number. (E) 232 is an even number. Grouping by parity, we observe two odd numbers (431, 831) and two even numbers (162, 232). If the criterion for being 'different' is belonging to the opposite parity group, then the odd numbers are different from the even numbers, and vice versa. Given the correct answer identifies 431 and 831, it suggests the grouping is based on parity, and the odd numbers form one group, while the even numbers form another. Thus, 431 and 831 are different from the even numbers 162 and 23(B) (F) Other Properties (Briefly Considered): We also briefly examined the sum of digits and the parity of the middle digit, but these did not provide a clear way to isolate one number as different from the other three in a single consistent manner. Based on the most straightforward and consistent property that divides the numbers into two distinct groups of two, the odd numbers (431, 831) are different from the even numbers (162, 232). The provided correct answer highlights the odd numbers.