Question
Download Solution PDFIf the 9-digit number 83P93678Q is divisible by 72, then what is the value of
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
9-digit number = 83P93678Q
Divisor = 72
Concept Used:
Divisibility of 8 = Last three digits should be divisible by 8.
Divisibility of 9 = Sum of digits is divisible by 9.
Calculation:
As the divisor 72, is divisible by 8 and 9, so the divisibility will be checked.
For divisible by 8,
78Q should be divisible by 8, so, Q should be 4 as 784 is divisible by 8.
For divisible by 9,
⇒ 8 + 3 + P + 9 + 3 + 6 + 7 + 8 + 4 = 48 + P
For being divisible by 9, the nearest number to be added is 6 which gives 54.
Now,
⇒
Therefore, the required value is 8.
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