Question

In a class test (+2) marks are given for every correct answer and (–1) marks are given for every incorrect answer and no marks for not attempting any question. (i) Radhika scored 26 marks. If she has got 14 correct answers, how many questions has she attempted incorrectly? (ii) Mohini scores (–6)marks in this test, though she has got 8correct answers. How many questions has she attempted incorrectly?

Answer 1

Answer:

i) Radhika attempted 2 questions incorrectly

ii) Mohini attempted 22 questions incorrectly

Step-by-step explanation:

Given, +2 marks for every correct answer and -1 mark for every wrong answer.

i) If Radhika got 14 correct answers and got 26 marks, let the questions attempted incorrectly by her be 'x'. Then,

14(+2) + x(-1) = 26

28 - x = 26

x = 28-26 = 2 incorrect questions.

Hence, Radhika attempted 2 questions incorrectly.

ii) If Mohini scores -6 marks in the test and got 8 correct answers, let the questions attempted incorrectly by Mohini be 'y'. Then, the questions she attempted incorrectly will be,

8(+2) + y(-1) = -6

16 - y = -6

y = 16+6 = 22 incorrect questions.

Hence, Mohini attempted 22 questions incorrectly.