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​

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Evelyn 3 months 2021-11-06T15:07:12+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-11-06T15:08:15+00:00

    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.

    To find

    ☛ Possibilities of marking correct and wrong answers.

    Solution

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

    First possibility :

    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 possibility :

    If 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.

    0
    2021-11-06T15:08:35+00:00

    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.

    To find

    Possibilities of marking correct and wrong answers.

    Solution

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

    First possibility :

    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 possibility :

    If 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.

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