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In the given questions, two quantities a...

In the given questions, two quantities are given, one as Quantity I and another as Quantity II. You have to determine relationship between two quantities and choose the appropriate option.
`mn ne 0`
Quantity I. m=n Quantity II. `m/n`

A

If Quantity I`ge` Quantity II

B

If Quantity I`gt`Quantity II

C

If Quantity I`lt`Quantity II

D

If Quantity I`=`Quantity II or the relationship cannot be established from the information that is given

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to analyze the two quantities given: **Quantity I:** \( m = n \) **Quantity II:** \( \frac{m}{n} \) ### Step 1: Analyze Quantity I From Quantity I, we have: \[ m = n \] ### Step 2: Substitute in Quantity II Now we substitute \( m \) in Quantity II: \[ \frac{m}{n} = \frac{n}{n} = 1 \] This implies that: \[ \text{Quantity II} = 1 \] ### Step 3: Compare the Two Quantities Now we compare both quantities: - Quantity I: \( m = n \) (which can be any non-zero value) - Quantity II: \( \frac{m}{n} = 1 \) ### Step 4: Consider the Condition \( mn \neq 0 \) Since \( mn \neq 0 \), both \( m \) and \( n \) cannot be zero. This means both quantities can take on any non-zero values, and since \( m \) is equal to \( n \), it follows that \( \frac{m}{n} \) will always equal 1. ### Conclusion Thus, we can conclude that: - Quantity I is equal to Quantity II. Therefore, the relationship between the two quantities is: \[ \text{Quantity I} = \text{Quantity II} \] ### Final Answer The answer is that both quantities are equal. ---
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