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प्रश्न
If 31z5 is a multiple of 9, where z is a digit, what is the value of z? You will find that there are two answers for the last problem. Why is this so?
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उत्तर
If a number is a multiple of 9, then the sum of its digits will be divisible by 9.
Sum of digits of 31z5 = 3 + 1 + z + 5 = 9 + z
Hence, 9 + z should be a multiple of 9.
This is possible when 9 + z is any one of these numbers 0, 9, 18, 27, and so on …
However, since z is a single digit number, this sum can be either 9 or 18. Therefore, z should be either 0 or 9.
संबंधित प्रश्न
If 31z5 is a multiple of 3, where z is a digit, what might be the values of z?
If x is a digit such that the number \[\overline{{18x71}}\] is divisible by 3, find possible values of x.
Which of the following statement is true?
If a number is divisible by 9, it must be divisible by 3.
Find the quotient when 73 – 37 is divided by 9.
Find which of the following numbers are divisible by 3:
(i) 261
(ii) 777
(iii) 6657
(iv) 2574
1×5 divisible by 3?
31×5 divisible by 3?
If x + y + z = 6 and z is an odd digit, then the three-digit number xyz is ______.
Write the smallest digit and the greatest digit in the blank space of the following number so that the number formed is divisible by 3:
______ 6724
Why is 872 NOT divisible by 3?
