Question
Download Solution PDFIf 6428A83 is divisible by 9, then the value of A is equal to :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
If 6428A83 is divisible by 9, then the value of A is equal to :
Concept:
A number is divisible by 9 if the sum of its digits is divisible by 9.
Calculation:
We have,
⇒ Number = 6428A83
⇒ Sum of digits = 6 + 4 + 2 + 8 + A + 8 + 3
⇒ Sum of digits = 31 + A
For 6428A83 to be divisible by 9, 31 + A must be divisible by 9.
Let's check the options:
Option 1: A = 6
⇒ Sum = 31 + 6 = 37 (not divisible by 9)
Option 2: A = 5
⇒ Sum = 31 + 5 = 36 (divisible by 9)
Option 3: A = 7
⇒ Sum = 31 + 7 = 38 (not divisible by 9)
Option 4: A = 3
⇒ Sum = 31 + 3 = 34 (not divisible by 9)
Hence, the correct value of A is 5.
∴ The correct answer is option 2.
Last updated on Jun 26, 2025
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