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​

Answer 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.

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.

Answer 2

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.