Advertisements
Advertisements
Question
If 21y5 is a multiple of 9, where y is a digit, what is the value of y?
Advertisements
Solution
If a number is a multiple of 9, then the sum of its digits will be divisible by 9.
Sum of digits of 21y5 = 2 + 1 + y + 5 = 8 + y
Hence, 8 + y should be a multiple of 9.
This is possible when 8 + y is any one of these numbers 0, 9, 18, 27, and so on …
However, since y is a single digit number, this sum can be 9 only. Therefore, y should be 1 only.
RELATED QUESTIONS
If x is a digit of the number \[\overline {{66784x}}\] such that it is divisible by 9, find possible values of x.
Which of the following statement is true?
If a number is divisible by 3, it must be divisible by 9.
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
28×6 a multiple of 3?
There are some flowering trees in a garden. Each tree bears many flowers with the same number printed on it. Three children took a basket each to pick flowers. Each basket has one of the numbers, 3, 4 or 9 on it. Each child picks those flowers which have numbers divisible by the number on his or her basket. He/She takes only 1 flower from each tree. Can you tell which numbers the flowers in each basket will have?
Check the divisibility of 2146587 by 3.
If x + y + z = 6 and z is an odd digit, then the three-digit number xyz is ______.
3134673 is divisible by 3 and ______.
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:
4765 ______ 2
