Question
Download Solution PDFIf the number x3331 is divisible by 11, what is the face value of x?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
x3331
Concept used:
If the difference of the sum of alternative digits of a number is divisible by 11, then that number is divisible by 11 completely.
Calculation:
Difference between the sum of the digits at alternate places of x3331
⇒ (x + 3 + 1) - (3 + 3)
⇒ x + 4 - 6
⇒ x - 2
Now, x can only be 2 which makes (x - 2) = 0 which is divisible by 11. (∵ x can be any integer starting from 1 to 9)
So, x = 2
∴ The face value of x is 2.
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