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A student was supposed to multiply a positive real number p with another positive real number q. Instead, the student divided p by q. If the percentage error in the student’s answer is 80%, the value of q is

1. 5
2. √2
3. 2
4. √5

Correct answer: √5

Solution

The percentage error is calculated based on the difference between the correct answer (p*q) and the incorrect answer (p/q). Given that the percentage error is 80%, we can set up the equation to find q, leading to the conclusion that q must equal √5 to satisfy the condition.

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