2. 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 th
questions and scored (-12) marks
though he got 4 correct answers.
How many incorrect answers had
they attempted
Answers
Step-by-step explanation:
1st
neha answered 10 correct answers
marks she got by correct answers = 5×10 = 50
total marrks she got = 30
50 - 30 = 20
20 marks deducted if for 1 wrong answer 2 marks deducted
so total incorrect answers = 20/2 = 10
2nd
marks he got by correct answers = 5×4= 20
total marks he got -12
20-(-12) = marks deducted
32 marks deducted
no of incorrect answers = 32/2 = 16
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