In a division sum, the remainder is zero. A student mistook the divisor as 12 instead of 21 and obtained 35 as quotient. What is the correct quotient ?  

A    Zero

B    12

C    13

D    20

E  None 

Solution

Correct Answer: Option D

 

we all know the formula.

Divisor = Dividend-Remainder/Quotient. 

Now we have given Remainder=0, Quotient=35 and having two divisor one is true and other is by mistake taken by him.

So true divisor = 21 and by mistake divisor is 12 and we have to find the correct quotient. So, as he has taken false divisor so it is obvious that quotient is also false.

Now our formula become like this:

False divisor = True dividend - Remainder/False quotient.

Now put the value in this:

12 = True dividend - 0/35. 12*35 = True dividend - 0. 420 + 0 = True dividend.

So our true dividend = 420.

True Divisor is already given in question that is = 21.

Now, Dividend / Divisor => 420/21.

That is 20 Answer.

 

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