Question

In a test (+4) marks are given for every correct answers and (-3) marks are given for every incorrect answers 1) Tahiya answered all questions and scored 40 marks though she got 12 correct answers. 2) Helmin also answered all the questions and scored (-14) marks though he got 5 correct answers. How many incorrect answers had they attempted?

Answer 1

Tahiya attempted 3 incorrect answers.

Helmin attempted 11 incorrect answers.

Explanation:

Correct = +4

Incorrect = -3

1) Tahiya got 12 correct answers and scored a 40, the number of incorrect answers was:

`4*12-3I=40\\I=(8)/(3)\\I=2.67`

2) Helmin got 5 correct answers and scored a -14, the number of incorrect answers was:

`4*5-3I=-14\\I=(34)/(3)\\I=11.33`

In both cases the number of incorrect answers obtained is a fraction, which means that either the data provided is inaccurate, or that the scores obtained by the students are approximate. Let's round the number of incorrect answers to the nearest whole answer.

Tahiya attempted 3 incorrect answers.

Helmin attempted 11 incorrect answers.