## In a true-false test containing 50 questions, a student is to be awarded 2 marks for every correct answer and -2 marks for every

Question

In a true-false test containing 50 questions, a student is to be awarded 2 marks for every correct

answer and -2 marks for every incorrect answer and 0 for not supplying any answer. If Yash secured 94

marks in a test, what are the possibilities of his marking correct or wrong answer?

who will answer my Questions i will follow him or her

in progress
0

Math
3 months
2021-11-06T15:07:12+00:00
2021-11-06T15:07:12+00:00 2 Answers
0 views
0
## Answers ( )

Given conditions☛ Total questions = 50

☛ Marks awarded for each correct answer = 2

☛ Marks awarded for each incorrect answer = -2

☛ Marks for not supplying answer = 0

☛ Yash scored = 94 marks.Tofind☛ Possibilities of marking correct and wrong answers.

SolutionIf you observe it clearly, there can be 2 possibilities in the case of Yash.

Firstpossibility:If Yash answers 48 correct answers, 1 wrong answer and didn’t supply answer of 1 question, then his score can be 94.

Let’s prove it :☛ Total marks = (48 × 2) + (1 × -2) + (1 × 0)

☛ Total marks = 96 – 2 + 0

☛ Total marks = 94 = Yash’s marks.## ∴ First possibility is proved ✔

___________________________

___________________________

Second:possibilityIf Yash answers 47 correct answers and didn’t supply answers of 3 questions, then his score can be 94.

## Let’s prove it :

☛ Total marks = (47 × 2) + (3 × 0)

☛ Total marks = 94 + 0

☛ Total marks = 94 = Yash’s marks.## ∴ Second possibility is also proved ✔

Therefore,There can be 2 possibilities of his markings correct or wrong which are proved above.

Givenconditions☛ Total questions = 50

☛ Marks awarded for each correct answer = 2

☛ Marks awarded for each incorrect answer = -2

☛ Marks for not supplying answer = 0

☛ Yash scored = 94 marks.

Tofind☛Possibilitiesofmarkingcorrectandwronganswers.SolutionIf you observe it clearly, there can bein the case of Yash.

2possibilitiesFirstpossibility:IfYashanswers48correctanswers,1wrongansweranddidn’tsupplyanswerof1question,thenhisscorecanbe94.Let’s prove it :

☛☛ Total marks = 96 – 2 + 0

☛Totalmarks=94=Yash’smarks.∴Firstpossibilityisproved✔## ___________________________

## ___________________________

Secondpossibility:IfYashanswers47correctanswersanddidn’tsupplyanswersof3questions,thenhisscorecanbe94.Let’s prove it :

☛ Total marks = (47 × 2) + (3 × 0)

☛ Total marks = 94 + 0

☛Totalmarks=94=Yash’smarks.∴Secondpossibilityisalsoproved✔Therefore,

Therecanbe2possibilitiesofhismarkingscorrectorwrongwhichareprovedabove.