A number is divisible by 11 if the differences between the sum of digits at its odd places and that of digits at the even places is either 0 or divisible by ______. Fill in the blank to make the statement true

Solution:

A number is divisible by 11 if the difference between the sum of digits at its odd places and that of digits at the even places is either 0 or divisible by 11.

1331 is a number divisible by 11 because the sum of odd digits and even digits i.e. 1 + 3 and 3 + 1 is 4 and 4 - 4 = 0

Thus 1331 is divisible by 11.

Similarly 7194 is divisible by 11 because the difference of the sum of odd digits i.e. 7 + 9 =16 and sum of digits in even position i.e. 1 + 4 = 5 is 11(16 - 5) and it is divisible by 11.

✦ Try This: A number is divisible by 8 if the last three digits of a number are divisible by ______.

A number is divisible by 8 if the last three digits of a number of a digit are divisible by 8.

15632248 is a number divisible by 8 because its last three digits i.e. 248 are divisible

by 8.

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 16

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NCERT Exemplar Class 8 Maths Chapter 13 Problem 29

A number is divisible by 11 if the differences between the sum of digits at its odd places and that of digits at the even places is either 0 or divisible by ______. Fill in the blank to make the statement true.

Summary:

A number is divisible by 11 if the differences between the sum of digits at its odd places and that of digits at the even places is either 0 or divisible by 11.

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☛ Related Questions:

• If a 3-digit number abc is divisible by 11, then ______ is either 0 or multiple of 11. Fill in the b . . . .
• If A × 3 = 1A, then A = ______. Fill in the blank to make the statement true
• If B × B = AB, then either A = 2, B = 5 or A = ______, B = ______. Fill in the blank to make the sta . . . .