Advertisements
Advertisements
प्रश्न
Which of the following numbers is divisible by 11?
पर्याय
3333333
1111111
22222222
none of these
Advertisements
उत्तर
22222222
A number is divisible by 11 if the difference of the sum of its digits in odd places and the sum of the digits in even places (starting from ones place) is either 0 or a multiple of 11.
3333333
Consider number 3333333.
Sum of its digits in odd places (3 + 3 + 3 + 3) = 12
Sum of its digits in even places (3 + 3 + 3) = 9
Difference of the two sums = 12 − 9 = 3
Since this number (3) is not divisible by 11, 3333333 is not divisible by 11.
1111111
Consider number 1111111.
Sum of its digits in odd places (1 + 1 + 1 + 1) = 4
Sum of its digits in even places (1 + 1 + 1) = 3
Difference of the two sums = 4 − 3 = 1
Since this number (1) is not divisible by 11, 1111111 is also not divisible by 11.
22222222
Consider number 22222222.
Sum of its digits in odd places (2 + 2 + 2 + 2)= 8
Sum of its digits in even places (2 + 2 + 2 + 2) = 8
Difference of the two sums = 8 − 8 = 0
Since this number (0) is divisible by 11, 22222222 is also divisible by 11.
APPEARS IN
संबंधित प्रश्न
Test the divisibility of the following numbers by 8:
1790184
In the following number, replace * by the smallest number to make it divisible by 3:
27*4
Test the divisibility of 1000001 by 11.
State if the following is a prime number?
179
State if the following is a prime number?
397
Write (T) for true and (F) for false against the following statement:
If a number divides the sum of two numbers exactly, it must exactly divide the numbers separately.
Write (T) for true and (F) for false against the following statement:
A number is divisible by 18 if it is divisible by both 3 and 6.
Write (T) for true and (F) for false against the following statement:
If a number is divisible by 3 and 7, it must be divisible by 21.
The smallest number which when diminished by 3 is divisible by 14, 28, 36 and 45, is
Which of the following divisibility rules is based on the sum of digits?
