Question

In a class test (+5) marks are given for every correct answer and (-3) marks are given for
every incorrect answer and no marks for not attempting any question
(0) Radhika scored 14 marks. If she has got 4 correct answers, how many questions has she
attempted incorrectly?
(ii) Mohini scores-5 marks in this test, though she has got 2 correct answers. How many
questions has she attempted incorrectly?
(iii) Rakesh scores 23 marks by attempting 19 questions. How many questions has he
attempted correctly and how many has he attempted incorrectly?​

Answer 1

i)2

ii)5

iii)10 correct and 9 incorrect

Step-by-step explanation:

i) It's given that Radhika got 4 correct answers.

This means she got 20 from them.

Then we have how she got 14 from 20.

Difference between both is 6 which is 3×2

This tells us that she'd lost either 3 times 2 marks or 2 times 3 marks.

Here given that incorrect answer's marks in deductible 3.

This tells that she answered 2 wrong which gave her loss of 3 marks 2 times.

ii) It's given that Mohini answered 2 correct which leads her to 10.

Then we have how she got –5 from 10.

Difference between both is 15 which is 5×3

This tells us that she'd lost either 3 times 5 marks or 5 times 3 marks.

Here given that incorrect answer's marks in deductible 3.

This tells that she answered 5 wrong which gave her loss of 3 marks 5 times.

iii) It's given that Rakesh got 23 marks from 19 questions which means that we've to adjust settlement of answers such that total questions answered should be 19 and operations equal to 23.

If we suppose that 10 are correct, we get that total marks till here would be (5×10)=50 marks.

And if leftover are wrong, we get (–3×9)=–21 marks more.

And after resolving 50+(–21),

We get 23 which was required.

Answer 2

Answer:

10

Step-by-step explanation:

14 marks

4 correct answers and the rest are incorrect