Question
If the eight-digit number 32043p88 is divisible by 4, then the maximum value of p is:
The correct answer is
9
Solution
Step 1: Rule of Divisibility by 4
A number is divisible by 4 if the number formed by its last two digits is divisible by 4.
Step 2: Identify last two digits
The last two digits of the number 32043p88 are 88.
Step 3: Check divisibility
88 ÷ 4 = 22, so 88 is divisible by 4.
Step 4: Effect of p
Since divisibility depends only on the last two digits, the digit p does not affect divisibility. Therefore, p can be any digit from 0 to 9.
Step 5: Maximum value of p
The maximum possible value of p = 9.
Final Answer 9
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Important Questions from Divisibility Rules
Which of the following numbers is divisible by 7 ?
- Which of the following numbers is divisible by 71?
- Which of the following numbers is divisible by both 37 and 8?
- Which of the following numbers is divisible by both 27 and 19?
- Which of the following numbers is divisible by both 6 and 31?
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