Question : If the number 6788934a4 is divisible by 11, then find the smallest whole number in the place of a.
Option 1: 3
Option 2: 4
Option 3: 5
Option 4: 2
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Correct Answer: 2
Solution :
Divisibility rule for 11: The difference in the sum of digits at even places and odd places is divisible by 11.
Given number = 6788934a4
Sum of digits at odd places = 6 + 8 + 9 + 4 + 4 = 31
Sum of digits at even places = 7 + 8 + 3 + a = 18 + a
Now, 31 – (18 + a) should be divisible by 11.
i.e., 13 – a should be divisible by 11, which is possible when the value of a is 2.
Hence, the correct answer is 2.
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