Home
Class 6
MATHS
A number is divisible by 4, if ....

A number is divisible by 4, if ___________ .

A

the sum of the digits is divisible by 4

B

the sum of the last two digits is divisible by 4

C

the number formed by its last two digits is divisible by 4

D

the last digit is divisible by 4

Text Solution

AI Generated Solution

The correct Answer is:
To determine when a number is divisible by 4, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Number**: Let's consider any number, for example, 124. 2. **Look at the Last Two Digits**: For the number 124, the last two digits are 24. 3. **Check Divisibility of Last Two Digits by 4**: We need to check if 24 is divisible by 4. 4. **Perform the Division**: Divide 24 by 4. - Calculation: \( 24 \div 4 = 6 \) - Since 6 is a whole number, 24 is divisible by 4. 5. **Conclude for the Original Number**: Because the last two digits (24) are divisible by 4, we can conclude that the original number (124) is also divisible by 4. 6. **Formulate the General Rule**: Therefore, we can state that a number is divisible by 4 if the number formed by its last two digits is divisible by 4. ### Final Statement: A number is divisible by 4 if the number formed by its last two digits is divisible by 4. ---
Promotional Banner

Topper's Solved these Questions

  • IMO QUESTION PAPER 2020-21 SET A

    SCIENCE OLYMPIAD FOUNDATION |Exercise Everyday mathematics |10 Videos
  • IMO QUESTION PAPER 2020-21 SET A

    SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers section |5 Videos
  • IMO QUESTION PAPER 2020

    SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers section (HOTS)|5 Videos
  • INTEGERS

    SCIENCE OLYMPIAD FOUNDATION |Exercise ACHIEVERS SECTION (HOTS)|5 Videos

Similar Questions

Explore conceptually related problems

Statement 1: Total number of five-digit numbers having all different digit sand divisible by 4 can be formed using the digits {1,3,2,6,8,9} is 192. Statement 2:A number is divisible by 4, if the last two digits of the number are divisible by 4.

Which of the following numbers is divisible by 4 ?

Which of the following numbers is divisible by 3, 4, 5 and 6?

Which of the following statements are true? If a number is 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 is divisible by 8, it must be divisible by 4. If a number is divisible by 18, if it is divisible by both 3 and 6. If a number is divisible by both 9 and 10, it must be divisible by 90. If a number exactly divides the sum of two numbers, it must exactly divide the numbers separately. If a number divides three numbers exactly, it must divide their sum exactly. If two numbers are co-prime, at least one of them must be a prime number. The sum of two consecutive odd numbers is always divisible by 4.

Write (T) for true and (F) for false against each of the following statements : (i) If a number is divisible by 4. it must be divisible by 8 . (ii) If a number is divisible by 8 . it must be divisible by 4 . (iii) If a number divides the sum of two number exactly. it must exactly divide the num .bers separately. (iv) If a number is divisible by both 9 and 10 . it must be divisible by 90. (v) A number is divisible by 18 if it is divisible by both 3 and 6 . (vi) If a number is divisible by 3 and 7 . it must be divisible by 21. (vii) The sum of two consecutive odd number is always divisible by 4 . (viii) If a number divides two number exactly. it must divide their sum exactly.

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.

State whether the statement given is true (T) or false (F): A four-digit number abcd is divisible by 4 if ab is divisible by 4

A number P is divisible by 5,4,8 and 9. If p is a 3-digit number, then find all the possible values for P.

The sum of two consecutive odd numbers is divisible by 4. Verify this statement with the help of some examples.