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
Answers
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:
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 :-
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
I HOPE THIS ANSWER HELPS YOU THE MOST