If, then which of the following are equal ?

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I and II are equal

I and III are equal

I and IV are equal

All are equal

answer is C.

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Detailed Solution

Concept- In order to solve the given problems, firstly, when two fractions are divided by one another, remove the division sign by replacing it with a multiply sign, and then, reciprocate the fraction that is written after the division sign.
In order to get a solution, we will first solve each of the division equations in the given question, and then compare the answers.
The first division expression in the given problem can be solved as follows:
Question Image

As a result, we obtain the solution to problem (I) is

.
Now we will solve the second division expression.
Question Image

As a result, we obtain the solution to problem (II) is

.
Further, we will solve the third division expression.
Question Image

As a result, we obtain the solution to problem (III) is

.
Finally, we will solve the fourth division expression.
Question Image

As a result, we obtain the solution to problem (IV) is

.
We have discovered that parts I and IV are equal after comparing parts I, II, III, and IV.
Hence, the correct answer is option 3.

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