Question

6. In a Mathematics test, there are 60 questions. There is 2 marks for every correct answer, and
3
mark is
deducted for each unattempted question or wrong solution. If Zaheer got 50 marks, how many questions
did he answered correctly​

Answer 1

total questions 60

marks for one correct question 2

total marks 60 * 2 = 120

marks got 50

marks deducted 120 - 50 = 70

marks deducted with one question = 2+3

2 of the correct answer and 3 of the incorrect answer

answers incorrect = 70/5

= 14

answers correct = 60-14=46

Answer 2

Answer:

ɢɪᴠᴇɴ THAT:-

In a Mathematics test, there are 60 questions. There is 2 marks for every correct answer, and 1/3 marks deducted for each unattempted question or wrong solution. If Zaheer got 50 marks.

ᴛᴏ ғɪɴᴅ :-

Number of :-

Correct answers

Wrong answers

sᴏʟᴜᴛɪᴏɴ :-

Let the number of correct answer be x and wrong answers be y

then,

✞ According to 1st condition :-

➭ Total no of answers = 60

➭ Correct ans + Wrong ans = 60

➭ (x + y) = 60. ---(1)

✞ According to 2nd condition :-

$\begin{gathered} \implies \tt \: 2x - \frac{y}{3} = 50 \\ \\ \\ \implies \tt \: \frac{2x \times 3}{1 \times 3} - \frac{y}{3} = 50 \\ \\ \\ \implies \tt \: \frac{6x - y}{3} = 50 \\ \\ \\ \implies \tt \: 6x - y = 50 \times 3 \\ \\ \\ \implies \tt \: 6x - y = 150\end{gathered}$

We get,

➭ 6x - y = 150. --(2)

On adding (1) and (2) , we get

➭ (x + y) + (6x - y) = 60 + 150

➭ x + 6x = 210

➭ 7x = 210

➭ x = 210/7

➭ x = 30

Put x = 30 in (1) , we get,

➭ x + y = 60. --(1)

➭ 30 + y = 60

➭ y = 60 - 30

➭ y = 30

Hence,

Number of correct answer = 30

Number of Wrong answers = 30

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