Question

In a test (+5) marks are given for every correct answer and (-2) marks are given for every
incorrect answer.
(i) Neha answered all the questions and scored 30 marks though she got 10 correct
answers.
(ii) Ajay also answered all the questions and scored (-12) marks though he got 4 correct
answers. How many incorrect answers had they attempted?

Answer 1

Given:

Marks given for every correct answer = 5

Marks deducted for every wrong answer = 2

Question:

(i) Neha answered all the questions and scored 30 marks though she got 10 correct

answers.

How many incorrect answers had she attempted?

Solution:

Correct answers = 10

Total marks scored = 30

If, marks scored for correct answers = 10×5 = 50

then 20 marks is lost for wrong answer.

So, 20/2 = 10, Therefore she gave 10 answers wrong.

Total questions answered by Neha = 10 + 10 = 20

Therefore,

Incorrect answers attempted by Neha = 10

Question:

(ii) Ajay also answered all the questions and scored (-12) marks though he got 4 correct

answers.

How many incorrect answers had he attempted?

Solution:

Correct answers = 4

Total marks scored = -12

If, marks scored for correct answers = 4×5 = 20

then 32 marks is lost for wrong answer.

So, 32/2 = 16, Therefore he gave 16 answers wrong.

Total questions answered by Neha = 4 + 16 = 20

Therefore,

Incorrect answers attempted by Ajay = 16