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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


Team Careers360 17th Jan, 2024
Answer (1)
Team Careers360 18th Jan, 2024

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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