Question Details

Choose the one which is different from the rest three:

Options

A

431

B

162

C

831

D

232

Show Answer

Correct Answer :

Option D

232

Solution :

The correct option is 232.

To find the number that is different from the rest, let us analyze the mathematical relationship between the digits of each number:

For the number 431:
If we multiply the second digit by the third digit, we get:
3×1=3
This does not equal the first digit (4). Let's look for a different pattern.

Let's analyze the sum of the digits for each number:
For 431: 4+3+1=8
For 162: 1+6+2=9
For 831: 8+3+1=12
For 232: 2+3+2=7
This pattern does not show a clear distinction.

Let us check the relationship where the first digit is the product of the last two digits:
For 431: 3×1��4

Let's try another pattern where the middle digit is the product of the first and third digits:
For 431: 4×13

Let's check the division or divisibility:
431 is a prime number.
162 is divisible by 2, 3, 9 (162/2=81).
831 is divisible by 3 (831/3=277).
232 is divisible by 2, 4, 8 (232/8=29).

Let's look at another digit relationship: the product of the first and second digits related to the third digit, or the first digit minus the second digit:
For 431: 4-3=1 (Third digit)
For 831: 8-31
For 232: 2-32

Let's try: First digit - Third digit = Second digit:
For 162: 1-26

Let's try: Product of the first and third digits plus some constant:
For 431: 4×1=4
For 162: 1×2=2
For 831: 8×1=8
For 232: 2×2=4

Notice the pattern of (First Digit) × (Third Digit):
For 431: 4×1=4, which is 3+1 (Middle digit + 1)
For 162: 1×2=2, which is not directly related.
Let's look at a simpler property: parity of digits or structure.
Let's evaluate:
431: Even, Odd, Odd
162: Odd, Even, Even
831: Even, Odd, Odd
232: Even, Odd, Even

Alternatively, let's look at: (First digit + Third digit) compared to the Middle digit:
For 431: 4+1=5 (Middle digit is 3)
For 162: 1+2=3 (Middle digit is 6)
For 831: 8+1=9 (Middle digit is 3)
For 232: 2+2=4 (Middle digit is 3)

Let us consider the sum of the digits:
The sum of the digits of 431 is 8 (Even).
The sum of the digits of 162 is 9 (Odd).
The sum of the digits of 831 is 12 (Even).
The sum of the digits of 232 is 7 (Odd).

Let's examine prime factors or numbers:
431 is a prime number.
162 is a composite number (2×34).
831 is a composite number (3×277).
232 is a composite number (8×29).

Let's look at another digital pattern:
In 431: 4-3=1 (First digit - Second digit = Third digit).
In 162: 1+2=36.
Let's check if the difference between the outer digits equals something else, or if 232 is a palindrome:
232 is a palindromic number (it reads the same forwards and backwards). The others (431, 162, 831) are not palindromes.
Therefore, 232 is different from the rest because it is a palindrome.

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