Question : If a 7-digit number 54p3987 is divisible by 11, then p is equal to:
Option 1: 5
Option 2: 9
Option 3: 4
Option 4: 1
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Correct Answer: 5
Solution :
Given: a 7-digit number 54p3987 is divisible by 11
⇒ 5 + p + 9 + 7 – 4 – 3 – 8 = 0 or multiple of 11
⇒ 21 + p – 15 = 0 or multiple of 11
⇒ 6 + p = 0 or multiple of 11
For p = 5, we get 11
⇒ p = 5
Hence, the correct answer is 5.
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