Explanation: The concept of divisibility by 2 is a fundamental principle in basic arithmetic and is often tested in various competitive examinations in India, such as the UPSC, SSC, Bank PO, CLAT, and MAT. Understanding this concept is crucial for quickly determining whether a number can be evenly divided by 2 without performing the actual division.
A number is divisible by 2 if it is an even number. An even number is defined as any integer that is exactly divisible by 2, meaning it can be expressed as 2n, where n is an integer. The key characteristic of even numbers is that they end in one of the digits 0, 2, 4, 6, or 8. Conversely, odd numbers end in 1, 3, 5, 7, or 9 and are not divisible by 2.
To determine if a number is divisible by 2, you only need to look at the last digit of the number. This is because the divisibility of a number by 2 depends solely on its last digit. For example, the number 7890 ends in 0, which is an even digit, so it is divisible by 2. On the other hand, the number 6483 ends in 3, which is an odd digit, so it is not divisible by 2.
In the given options, 6483, 2967, and 1235 are all incorrect because they end in odd digits (3, 7, and 5, respectively). The only number that ends in an even digit is 7890, which ends in 0. Therefore, 7890 is the correct answer as it is divisible by 2.
Understanding this rule helps in quickly identifying even and odd numbers, which is a basic but essential skill in arithmetic and is often tested in various competitive examinations. It is important to remember that the divisibility by 2 is determined solely by the last digit of the number, and this rule applies to all integers, regardless of their size.