In a class test +2 marks are given for every correct
answer and -1 marks are given for every incorrect
answer and no mark for not attempting any question.
a. Rohan got 7 correct answers and his final score is 10
Then how many questions has he attempted
incorrectly?
b. Anu scored 18 marks. If she has got 4 incorrect
answers then how many questions did she attempted
correctly?
Answers
Answer:
a) 4
b) 11
Step-by-step explanation:
a) He attempted 7 questions correctly so marks awarded for those 7 questions is 14 as +2 marks are given for every correct answer, His final score is 10 so he must have attempted 4 questions incorrectly as -1 marks are given for every incorrect answer.
b) She got 4 incorrect answers so that means - 4 marks as -1 marks are awarded for every incorrect answer. So if we add 4 to 18 then we see that we get 22. I basically used transposition to solve the equation. so 22/2 is 11 as +2 marks are given for every correct answer. Hence, the no. of correct answers she gave is 11.
Answer:
a) number of marks obtained for 7 correct answers = 7×2=14
final marks =10
number of marks cut = 14-10 =4
number of incorrect answers =4÷1 = 4
b)number of marks cut for incorrect answers =4×1=4
total marks =18
number of correct answers =(18+4)÷2
= 22÷2 = 11
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