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The ratio of correct to incorrect answers in a quiz programme is 5:2. What is the number of correct answers if 16 wrong responses are provided.

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answer is B.

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Detailed Solution

Concept: We may utilize the ratio of correct to incorrect responses—which is provided along with the total number of incorrect answers—to determine how many accurate answers there are by converting the ratio to a fraction.

Let x be the number of right responses and y be the number of false positives.
Then, in response to the query:

Converting ratio to fraction:

Since there were 16 incorrect responses provided,

.
When we change the value of y in (1) , we obtain:

https://lh3.googleusercontent.com/mvurT3281sPVIaUBGj-77RrfrhiDZjktbuij-G3VjAPmuxt7CetKk1_m3CKBQfAVZktcij-FMrJ8e73LtFJjCKZr1k48MXjwKPNFGy3YqteOLsAmqXl361kdX4cbNNs9Pw6Gyf1B930t-YO0K5IFGw

As a result, there are 40 correct answers whereas there are only 16 erroneous ones (with ratio 5 : 2) .
Hence, the correct answer is option 2) 40

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