Question

In a class test, (+2) marks were given for every correct answer and (–1) mark was

deducted for every incorrect answer. Rashmi answered all the questions and scored 30
marks. She gave 20 correct answers. Jashpal also answered a few questions and scored
–10 marks. He gave 5 correct answers. How many questions did Rashmi and Jashpal
attempt incorrectly?

Answer 1

Rashmi attempted 10 questions incorrectly while Jashpal attempted 20 questions incorrectly

Explanation:

Marks awarded for each correct answers = +2

Marks deducted each incorrect answer = -1

The number of questions Rashmi answered = All the question

Rashmi's score = 30

The correct answers Rashmi gave = 20

The number of questions Jashpal answered = A few questions

Jaspal's score = -10 marks

The number of correct questions Jashpal answered = 5

Let x represent the number of incorrect questions, for Rashmi, we have;

20×2 + x × (-1) = 30

x = 20×2 - 30 = 10

The number of questions Rasmi attempted incorrectly, x = 10

The number of questions Jashpal attempted incorrectly is given as follows;

5×2 + x × (-1) = -10

∴ 10 - x = -10

x = 10 + 10 = 20

The number of questions Jashpal attempted incorrectly, x = 20.