If P416 is divisible by 11, find the lowest natural value of P.A. 5B.

1.	If P416 is divisible by 11, find the lowest natural value of P.A. 5B. 6C. 7D. 91. A2. C3. B4. D
Answer» Correct Answer - Option 4 : D Given: A number P416 is given which is divisible by 11 Concept used: A number is divisible by 11 if the difference between the sum of its odd digit and sum of its even digit is zero or divisible by 11. Calculations: According to the question, we have P416 is divisible by 11, then the sum of its odd digit is ⇒ Sum of odd digits = P + 1 And, Sum of its even digits is ⇒ Sum of even digits = 6 + 4 ⇒ Sum of even digits = 10 Now, Comparing them ⇒ P + 1 = 10 ⇒ P = 10 - 1 ⇒ P = 9 P = 9 is the smallest number which divides P416 by 11 ∴ The value of P is 9.

If P416 is divisible by 11, find the lowest natural value of P.A. 5B. 6C. 7D. 91. A2. C3. B4. D

Answer» Correct Answer - Option 4 : D

Given:

A number P416 is given which is divisible by 11

Concept used:

A number is divisible by 11 if the difference between the sum of its odd digit and sum of its even digit is zero or divisible by 11.

Calculations:

According to the question, we have

P416 is divisible by 11, then the sum of its odd digit is

⇒ Sum of odd digits = P + 1

And, Sum of its even digits is

⇒ Sum of even digits = 6 + 4

⇒ Sum of even digits = 10

Now, Comparing them

⇒ P + 1 = 10

⇒ P = 10 - 1

⇒ P = 9

P = 9 is the smallest number which divides P416 by 11

∴ The value of P is 9.

Discussion

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