Advertisements
Advertisements
Question
If 123123A4 is divisible by 11, find the value of A.
Advertisements
Solution
Given, 12312344 is divisible by 11, then we have (1 + 3 + 2 + 4) – (2 + 1 + 3 + 4) is a multiple of 11.
i.e. (6 + 4) – 10 = 0, 11, 22,...
⇒ A – 4 = 0, 11, 22,...
⇒ A – 4 = 0 ...[A is a digit of the given number]
⇒ A = 4
APPEARS IN
RELATED QUESTIONS
Find the quotient when the difference of 985 and 958 is divided by 9.
Which of the following statement is true?
If a number divides three numbers exactly, it must divide their sum exactly.
Do you remember magic triangles? Come now, let s make some magic squares.
- Fill this square using all the numbers from 46 to 54.
Rule: The total of each line is 150.
Do you remember magic triangles? Come now, let s make some magic squares.
- Fill this square using all the numbers from 21 to 29.
Rule: The total of each side is 75.
Look at the patterns of numbers in hexagons.
Each side has 2 circles and 1 box.
- Look at the number 65 in the box. Which are the circles next to it?
- Can you see how the rule works?
Fill in the blank space in the same way.
The difference of a two-digit number and the number obtained by reversing its digits is always divisible by ______.
If 
then B = ______.
If AB × 4 = 192, then A + B = 7.
If AB + 7C = 102, where B ≠ 0, C ≠ 0, then A + B + C = 14.
