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
Similar Practice Questions
If 125 : y : : y : 180, find the positive value of y.
If 125 : y : : y : 180, find the positive value of y....
Find the smallest cube number which is divisible by 72, 108 and 300?
Find the smallest cube number which is divisible by 72, 108 and 300? वह छोटी...
When a number is divided by 84, the remainder is 10. What will be the remainder when that number is divided by 12?
When a number is divided by 84, the remainder is 10. What will be the...
Find the mean proportional of 36 and 100.
Find the mean proportional of 36 and 100. 36 और 100 का माध्य समानुपाती ज्ञात...
The sum of five consecutive numbers is 80. Find the largest number.
The sum of five consecutive numbers is 80. Find the largest number. पाँच क्रमागत संख्याओं...
Find the sum of all prime numbers between 50 and 80.
Find the sum of all prime numbers between 50 and 80. 50 और 80 के...
Find the smallest number which, when divided by 36, 45, and 54,…
Find the smallest number which, when divided by 36, 45, and 54, leaves a remainder...