In an objective type test of 90 questions, 5 marks are allotted for every correct answer and 2 marks are deduc

Question

In an objective type test of 90 questions, 5 marks are allotted for every correct answer and 2 marks are deducted for every wrong answer. After attempting all the 90 questions, a student got a total of 387 marks. What is the number of incorrect responses?

Accepted Answer

To find the number of incorrect responses, we can use a simple logical approach.

First, calculate the maximum marks possible. If the student had answered all 90 questions correctly, the score would be 90 multiplied by 5, which equals 450 marks.

Next, find the difference between this maximum score and the actual marks obtained. The actual score is 387, so the difference is 450 minus 387, which equals 63 marks.

Now, determine the loss incurred for every wrong answer. When a student marks an answer incorrectly, they lose the 5 marks they would have gained, plus an additional penalty of 2 marks. Therefore, each wrong answer results in a total loss of 7 marks.

Finally, divide the total marks lost by the marks lost per wrong answer. Dividing 63 by 7 gives 9.

Thus, the number of incorrect responses is 9. Option A is correct.

Answer

9

Answer

13

Answer

27

Answer

43

In an objective type test of 90 questions, 5 marks are allotted for every correct answer and 2 marks are deducted for every wrong answer. After attempting all the 90 questions, a student got a total of 387 marks. What is the number of incorrect responses?

Explanation

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