Home
Class 6
MATHS
A number is divisible by 9, if...

A number is divisible by 9, if _______

A

The sum of the digits is divisible by 4

B

The sum of the digits is divisible by 9

C

The last digit is divisible by 9

D

Both B and C

Text Solution

AI Generated Solution

The correct Answer is:
To determine if a number is divisible by 9, we can follow these steps: 1. **Identify the Number**: Let's say we have a number, for example, 72. 2. **Sum the Digits**: Add the digits of the number together. For 72, we have: \[ 7 + 2 = 9 \] 3. **Check Divisibility of the Sum**: Now, check if the sum of the digits (which is 9 in this case) is divisible by 9. Since: \[ 9 \div 9 = 1 \] This means 9 is divisible by 9. 4. **Conclusion**: Since the sum of the digits (9) is divisible by 9, we conclude that the original number (72) is also divisible by 9. Thus, we can say: A number is divisible by 9 if the sum of its digits is divisible by 9.
Promotional Banner

Topper's Solved these Questions

  • IMO MODEL TEST PAPER 1

    SCIENCE OLYMPIAD FOUNDATION |Exercise EVERYDAY MATHEMATICS |10 Videos

  • IMO MODEL TEST PAPER 1

    SCIENCE OLYMPIAD FOUNDATION |Exercise ACHIEVERS SECTION |5 Videos

  • FRACTIONS

    SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers Section (Hots) |5 Videos

  • IMO MODEL TEST PAPER 2

    SCIENCE OLYMPIAD FOUNDATION |Exercise ACHIEVERS SECTION |5 Videos

Similar Questions

Explore conceptually related problems

The largest 3- digit number divisible by 9 is _______

Which of the following numbers is divisible by 9 ?

Which of the following statements are true? (a) If a number is divisible by 3, it must be divisible by 9. (b) If a number is divisible by 9, it must be divisible by 3. (c) A number is divisible by 18, if it is divisible by both 3 and 6. (d) If a number is divisible by 9 and 10 both, then it must be divisible by 90. (e) If two numbers are co-primes, at least one of them must be prime. (f) All numbers which are divisible by 4 must also be divisible by 8. g) All numbers which are divisible by 8 must also be divisible by 4. (h) If a number exactly divides two numbers separately, it must exactly divide their sum. (i) If a number exactly divides the sum of two numbers, it must exactly divide the two numbers separately.

Which of the following numbers is divisible by 9?

Which of the following statements are true? If a number is divisible by 9, it must be divisible by 3.

Which of the following statements are true? If a number divisible by 3, it must be divisible by 9. If a number is divisible by 9, it must be divisible by 3. If a number is divisible by 4, it must be divisible by 8. If a number id divisible by 8,it must be divisible by 4. A number is divisible by 18, if it is divisible by both 3 and 6. If a number divisible by both 9 and 10, it must be divisible by 90.

Write the constrapositive of the following statements: If a number is divisible by 9, then it is divisible by 3. If you are born in India, then you are a citizen of India If a triangle is equilateral it is isosceles.