1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard VIII
Mathematics
Divisibility by 3
A number is d...
Question
A number is divisible by 9 if the sum of the digits of the number is divisible by ............
A
3
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
4
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
6
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
9
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is
D
9
Numbers are divisible by
9
if the sum of all the individual digits is divisible by
9
.
For example, the last sum of the digits of the number
3627
is
3
+
6
+
2
+
7
=
18
, and
18
is divisible by
9
.
Therefore,
3627
is divisible by
9
.
Hence, a number is divisible by
9
if the sum of the digits of the number is divisible by
9
.
Suggest Corrections
0
Similar questions
Q.
A number is divisible by 9 if the sum of the digits in the number is divisible by 3
Q.
Solve the divisibility rule puzzle.
Down
8. A number is divisible by which number if the sum of the digits is divisible by
9
?
Q.
Assertion :Total number of five-digit numbers having all different digits and divisible by 4 can be formed using the digits
{
1
,
3
,
2
,
6
,
8
,
9
}
is 192. Reason: A number of divisible by 4, if the last two digits of the number are divisible by 4.
Q.
Find the sum of all the multiples of
3
digits numbers which are divisible by
(
a
)
6
,
(
b
)
9
Q.
Which of the following statements are true?
(i) If a number is divisible by 3, it must be divisible by 9.
(ii) If a number is divisible by 9, it must be divisible by 3.
(iii) If a number is divisible by 4, it must be divisible by 8.
(iv) If a number is divisible by 8, it must be divisible by 4.
(v) A number is divisible by 18, if it is divisible by both 3 and 6.
(vi) If a number is divisible by both 9 and 10, it must be divisible by 90.
(vii) If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately.
(viii) If a number divides three numbers exactly, it must divide their sum exactly.
(ix) If two numbers are co-prime, at least one of them must be a prime number
(x) The sum of two consecutive odd numbers is always divisible by 4.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Why Divisibility Rules?
MATHEMATICS
Watch in App
Explore more
Divisibility by 3
Standard VIII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app