Question

In a mathematical competition consisting of 12 problems, 8 marks are given for each correct response, 0 marks for each incorrect response and each no response is awarded 3 marks. Eesha scored 35 marks in this competition. The largest number of incorrect responses she could have had is

Answer 1

Answer:

Maximum number of incorrect responses she could have had = 7

Step-by-step explanation:

Eesha scored a total of 35 marks.

The maximum marks are gained when answers are correct.

So, to find the maximum number of incorrect answers possible we need to find the maximum number of correct answers and minimum number of no response answers that can score 35 as a total.

Eesha scored a total of 35 marks

So, finding the number of maximum possible correct answer:

8 * x <= 35

x = 4

8 * 4 = 32 < 35

So, the remaining 3 marks can be gained by 1 no response answer.

So, keeping the correct answers and no response answers in mind:

The number of answers that are correct or no response = 4 + 1 = 5

So, the remaining answers are incorrect.

The maximum number of incorrect answers possible

= Total number of questions — Answers that are not incorrect

= 12 — 5 = 7 answers