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Q.

Is it true that by replacing ‘x’ in 467x91 with the smallest number to make it divisible by 11, we get 467291?


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a

True

b

False  

answer is A.

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Detailed Solution

We have been given,
By replacing ‘x’ in 467x91 with the smallest number to make it divisible by 11, we get 467291.
The divisibility rule of 11 states that if the difference between the two sums of digits in even places and odd places is 0, then the number is divisible by 11.
Sum of numbers in odd places,
4+7+9=20
Sum of numbers in even places,
6+x+1=?
So, 20-(7+x)=0
If, x=2.
We get 20-9=11 which is divisible by 11.
Therefore, our statement is true.
Hence, option 1 is correct.
 
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Is it true that by replacing ‘x’ in 467x91 with the smallest number to make it divisible by 11, we get 467291?