Question

After a very interesting math aptitude test of one hour, Henry answered $15$ out of the $20$ questions. On this test, $3$ points were awarded for each correct answer, $-1$ point for each wrong answer, and $0$ points for every question not answered. With $15$ correct answers, Henry knew he would score $45$ out $60$ points. Once Henry got home and double-checked, he found that he had $4$ wrong answers. So, he changed his grade expectation to $45-(4\times 1)=41$ out of $60$ points. Is Henry correct?

• A. No
• B. Yes
• C. Insufficient Data

Answer 1

The correct option is A No

Total number of questions $=20$
Total number of questions answered $=15$
Number of questions wrongly answered $=4$
So, number of questions correctly answered $=15-4=11$
Points for each correct answer $=3$
Points got for correct answers$=11\times 3=33$
Since he answered $4$ questions incorrectly, total negative points he got $=4\times -1=-4$

Henry's final grade $=33-4=29$ out of $60$ points. So, his grade expectation $45-(4\times 1)=41$ is NOT correct.