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Question

When Raju divided 569 by 42, he got quotient of 13 and a remainder of 2. Can you verify if he got the correct answer? If not, find the actual answer for the problem.

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Solution

Let's use the verification formula to find out if Raju got the right answer.
Here, 569 is the dividend, 42 is the divisor, 13 is the quotient and 2 is the remainder.
Dividend = Divisor × Quotient + Remainder.
= 42 × 13 + 2 = 546 + 2 = 548

But since the dividend is 569, Raju did not get the right answer.
Since we already know that 42 × 13 is 546, let's subtract it from 569 to check if further division is needed.
569 - 546 = 23, which is less than the divisor 42. Thus the correct remainder is 23.
So, 13 is the correct quotient. Raju only got the remainder wrong. The correct remainder is 23.

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