#### Question

In a class test containing 10 questions, 5 marks are awarded for every correct answer and (− 2) marks are awarded for every incorrect answer and 0 for questions not attempted.

1) Mohan gets four correct and six incorrect answers. What is his score?

2) Reshma gets five correct answers and five incorrect answers, what is her score?

3) Heena gets two correct and five incorrect answers out of seven questions she attempts. What is her score?

#### Solution

1) Marks given for 1 correct answer = 5

Marks given for 4 correct answers = 5 × 4 = 20

Marks given for 1 wrong answer = −2

Marks given for 6 wrong answers = −2 × 6 = −12

Score obtained by Mohan = 20 − 12 = 8

2) Marks given for 1 correct answer = 5

Marks given for 5 correct answers = 5 × 5 = 25

Marks given for 1 wrong answer = −2

Marks given for 5 wrong answers = −2 × 5 = −10

Score obtained by Reshma = 25 − 10 = 15

3) Similarly,

Marks given for 2 correct answers = 5 × 2 = 10

Marks given for 5 wrong answers = −2 × 5 = −10

Score obtained by Heena = 10 − 10 = 0