# In a class test (+ 3) marks are given for every correct answer and (–2) marks are given for every incorrect answer and no marks for not attempting any question.

(i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly?

(ii) Mohini scores –5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?

**Solution:**

(i) Marks given for every correct answer = 3 marks

Marks are given for every incorrect answer = -2

Marks for not attempting any question = 0

The total score of Radhika = 20 marks

No. of correct answers given by Radhika = 12 answers

Marks obtained for correct answers = 3 x 12 = 36 marks

Marks obtained for incorrect answers = Total score - Marks obtained for 12 correct answers

= 20 - 36 = 16 marks

Marks obtained for every incorrect answer = -2 marks

Thus, number of incorrect answers = -16 ÷ -2 = 8

Therefore, she attempted 8 incorrect questions.

(ii) Total score of Mohini = -5

No. of correct answers given by Mohini = 7

Marks obtained for correct answers = 7 x 3 = 21 marks

Marks obtained for incorrect answers = Total score - marks obtained for correct answers

= -5 - 21

= -26

Marks obtained for every incorrect answer = -2 marks

Thus, number of incorrect answers = (-26) ÷ (-2) = 13

Therefore, she attempted 13 incorrect questions.

**Video Solution:**

## In a class test (+ 3) marks are given for every correct answer and (–2) marks are given for every incorrect answer and no marks for not attempting any question. (i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly? (ii) Mohini scores –5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?

### NCERT Solutions Class 7 Maths - Chapter 1 Exercise 1.4 Question 6

i) Radhika attempted 8 incorrect questions, ii) Mohini attempted 13 incorrect questions