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?

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

1. 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.

Solution

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

Firstpossibility :

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 ✔

___________________________

___________________________

Secondpossibility :

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.

2. 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

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 :

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,