Vaidev attempted all the 13 questions in a quiz and scored 14 marks. Given that 8 marks were awarded for each correct answer but 2 marks were deducted for each wrong answer. how many questions did Vaidev answer correctly?
Number of
correct answers |
Marks
awarded |
Number of
wrong answers |
Marks
deducted |
Total
marks |
13
|
13 x 8
= 104 |
0 |
0 |
104 |
12
|
12 x 8
= 96 |
1 |
1 x 2
= 2 |
96 - 2
= 94 |
| 4 |
4 x 8
= 32 |
9 |
9 x 2
= 12 |
32 - 12
= 14 |
Total marks awarded if all the answers are correct
= 13 x 8
= 104
Big difference in marks deducted
= 104 - 14
= 90
Small difference in marks deducted
= 8 + 2
= 10
Number of wrong answers
= 90 ÷ 10
= 9
Number of correct answers
= 13 - 9
= 4
Answer(s): 4
