Question : A number when divided by 78 gives the quotient 280 and the remainder 0. If the same number is divided by 65, what will be the value of the remainder?
Option 1: 1
Option 2: 3
Option 3: 0
Option 4: 2
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Correct Answer: 0
Solution :
Dividend = Divisor × Quotient + Remainder
So, given number = 78 × 280 + 0
Since 78 is divisible by 13 and 280 is divisible by 5, 78 × 280 is divisible by 65.
So, the remainder when the given number is divided by 65 = 0
Hence, the correct answer is 0.