If the eight-digit number 59044p22 is divisible by 6, then the maximum value of p is:
If the eight-digit number 59044p22 is divisible by 6, then the maximum value of p is:
यदि आठ अंकों की संख्या 59044p22, 6 से विभाज्य है, तो p का अधिकतम मान क्या होगा?
Detailed Solution & Logic
Correct Answer:
7
Number: 59044p22
Divisible by 6 ⇒ divisible by 2 and 3
- Last digit is 2 ⇒ divisible by 2
Now sum of digits:
5 + 9 + 0 + 4 + 4 + p + 2 + 2 = 26 + p
For divisibility by 3:
26 + p must be divisible by 3
Check p values:
- p = 1 → 27
- p = 4 → 30
- p = 7 → 33
Maximum value of p = 7
Answer: 7
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