Question

12. In a test 6 marks are given for every correct answer and -2 marks are given for every incorrect
answer. Shyam answered all the questions and scored 56 marks. He got 12 correct answers.
(a)How many answers did he get wrong?
(b) How many total questions were present on the test?

Pls answer with steps ​

Answer 1

Answer: (a) 8 (b) 20

Step-by-step explanation:

(a)

Number of marks = 56

Number of correct answers = 12

Number of marks for 12 correct answers = 12×6=72

Number of marks deducted for wrong answers = 72-56=16

Number of questions answered wrong = 16/2 = 8

(b)

Number of correct answers = 12

Number of wrong answers = 8

Number of questions answered = 12+8=20