Which of the following numbers is divisible by $4$?
Aptitude
Number System
Difficulty: Easy
Choose an option
-
A67920594
-
B618703572
-
C541326
-
D452183
Answer
Correct Answer: 618703572
Explanation
### Concept & Logic
The divisibility rule for $4$ states that a number is divisible by $4$ if the number formed by its last two digits is divisible by $4$.
### Step-by-Step Solution
**Given:**
The options provided are large numerical values to test for divisibility.
**Calculation:**
Test option A ($67920594$): The last two digits form $94$. Since $94$ is not perfectly divisible by $4$ ($94 / 4 = 23.5$), the entire number is not divisible by $4$.
Test option B ($618703572$): The last two digits form $72$. Since $72$ is perfectly divisible by $4$ ($72 / 4 = 18$), the entire number is divisible by $4$.
### Exam Strategy & Shortcut
Do not waste time looking at the entire string of numbers. Instantly focus your eyes only on the tens and units place. If checking $72$ mentally is slow, halve it twice: half of $72$ is $36$, and half of $36$ is $18$. Since $18$ is a whole number, it is divisible by $4$.
### Common Pitfall
A common mistake is applying the divisibility rule for $3$ (summing the digits) or attempting to divide the entire multi-digit number by $4$. Always use the specific rule for the specific divisor.
### Final Answer
Therefore, the correct answer is **618703572**.