Q. 1335.0( 4 Votes )

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

Answer :

Given is that, there are total 50 questions in a test.

Marks awarded for correct answer = 2


Marks awarded for incorrect answer = -2


Marks awarded for unattempting an answer = 0


Score of Yash in the test = 94


We can find minimum correct answers in Yash’s test paper.


So, minimum correct answer is given by




Minimum answers = 47


So possibilities are:


(i). Yash attempted 47 answers correct, while (50 – 47 =) 3 unattempted.


Check: Marks on 47 correct answers = 47 × 2 = 94


Marks on remaining 3 unattempted answers = 3 × 0 = 0


Total marks of Yash should be 94.


Total marks = Marks on 47 correct answers + Marks on 3 unattempted answers


Total marks = 94 + 0


Total marks = 94


(ii). Yash attempted 48 answers correct, while 1 answer wrong and 1 unattempted.


Check: Marks on 48 correct answers = 48 × 2 = 96


Marks on 1 wrong answer = 1 × -2 = -2


Marks on 1 unattempted answer = 1 × 0


Total marks should come out to be 94.


Total marks = Marks on 48 correct answers + Marks on 1 wrong answer + Marks on 1 unattempted


Total marks = 96 – 2 + 0


Total marks = 94


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