If 7129p465 is divisible by 9, then the value of p is:1. 22. 33. 44. 0

1.	If 7129p465 is divisible by 9, then the value of p is:1. 22. 33. 44. 0
Answer» Correct Answer - Option 1 : 2 Given: 7129p465 is divisible by 9. We have to find the value of p Concept Used: If a number is divisible by 9, then the sum of its all digit will also be divisible by 9 Calculation: Given number is 7129p465 The sum of all digits of the number is 7 + 1 + 2 + 9 + p + 4 + 6 + 5 ⇒ (34 + p) Now, 9 × 1 = 9 9 × 2 = 18 9 × 3 = 27 9 × 4 = 36 9 × 5 = 45 and so on... Nearest number to (34 + p) which is a multiple of 9 is 36 Then, (34 + p) = 36 ⇒ p = 2 ∴ The value of p is 2

Answer» Correct Answer - Option 1 : 2

Given:

7129p465 is divisible by 9. We have to find the value of p

Concept Used:

If a number is divisible by 9, then the sum of its all digit will also be divisible by 9

Calculation:

Given number is 7129p465

The sum of all digits of the number is 7 + 1 + 2 + 9 + p + 4 + 6 + 5

⇒ (34 + p)

Now,

9 × 1 = 9

9 × 2 = 18

9 × 3 = 27

9 × 4 = 36

9 × 5 = 45 and so on...

Nearest number to (34 + p) which is a multiple of 9 is 36

Then, (34 + p) = 36

⇒ p = 2

∴ The value of p is 2

Discussion

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