Question 49

What digit will come in the place of 'a' in the number 1a5a01, if it is divisible by 11?

Solution

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According to the divisibility rule of 11, we must subtract and then add the digits in an alternating pattern from left to right. If the answer is 0 or 11, then the result is divisible by 11.

 

here in this no.

1a5a01

we apply the rule

$$1-a+5-a+0-1 =5 -2a $$

5 -2a must be divisible by 2 

so we have to check the option

5 =a 

5-2a =-5

6

5-2a =-7

4

5-2a =-3

8

5-2a =-11 which is divisible by 11

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