Question

7. There are 90 multiple choice questions in a
test. Suppose you get two marks for every
correct answer and for every question you
leave unattempted or answer wrongly, one
mark is deducted from your total score of
correct answers. If you get 60 marks in the
test, then how many questions did you answer
correctly?​

Answer 1

Given:

• There were 90 multiple questions in a test.

Condition applied :

you get two marks for every

correct answer and for every question you leave unattempted or answer wrongly , one mark is deducted from the total score of the correct answer.

To Find :

how many questions did you answer

correctly?

Solution:

Suppose I answered x question correctly.

Then,

Number of wrong answers and unattempted question = (90-x)

Since, For every correct answer 2 marks are awarded and for every wrong answer or unattempted question one mark is deducted.

$\bold{ \therefore \: total \: score \: = 2x - (90 - x) \times 1 \: = 2x - (90 - x)}$

But , the total score given as 60

$\bold{ \implies \: 2x - (90 - x)} \\ \bold{\implies \: 2x - 90 + x = 60} \\ \bold {\implies \: 3x - 90 = 60} \\ \bold {\implies \: 3x = 60 + 90} \\ \bold{ \implies \: 3x = 150} \\ \bold {\implies \: x = \cancel\frac{150}{3} } \\ \bold{ \implies 50 } \\ \\ \bold {\sf{ \therefore \: no. \: of \: correct \: \: answer }\bold \red{ = 50}}$

Answer 2

Answer:

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