Advertisements
Advertisements
प्रश्न
Given that the number \[\overline{{67y19}}\] is divisible by 9, where y is a digit, what are the possible values of y?
उत्तर
\[\text{ It is given that }\overline{{67y19}}\text{ is a multiple of 9 }. \]
\[ \therefore (6 + 7 + y + 1 + 9)\text{ is a multiple of 9 .} \]
\[ \therefore (23 + y)\text{ is a multiple of 9 . }\]
\[23 + y = 0, 9, 18, 27, 36 . . . \]
\[\text{ But }x\text{ is a digit . So, }x\text{ can take values }0, 1, 2, 3, 4 . . . 9 . \]
\[23 + y = 27\]
\[ \Rightarrow y = 4\]
APPEARS IN
संबंधित प्रश्न
If 24x is a multiple of 3, where x is a digit, what is the value of x?
(Since 24x is a multiple of 3, its sum of digits 6 + x is a multiple of 3; so 6 + x is one of these numbers: 0, 3, 6, 9, 12, 15, 18…. But since x is a digit, it can only be that 6 + x = 6 or 9 or 12 or 15. Therefore, x = 0 or 3 or 6 or 9. Thus, x can have any of four different values)
Find the remainder when 51439786 is divided by 3. Do this without performing actual division.
Which of the following statement is true?
If a number is divisible by 3, it must be divisible by 9.
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
Let abc be a three-digit number. Then abc – cba is not divisible by ______.
If the sum of digits of a number is divisible by three, then the number is always divisible by ______.
Number of the form 3N + 2 will leave remainder 2 when divided by 3.
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
