Question

In a test +4 marks are given for every correct answer and -1 for every incorrect answer and 0 for not choosing any answer. If Yashika secured 110 marks in the test for 40 questions,then which among the following can be the possibility of her marks a)28 correct and 2 incorrect b) 29 correct and 6 incorrect c) 30 correct and 10 incorrect d) all of these b) none of these

Answer 1

$\huge\mathfrak{Answer \ :-}$

$\mathsf{The \ answer \ is \ d) \ All \ of \ these.}$

$\huge\tt{Explanation \ :-}$
$<b>$
Given that -

4 marks = For every correct answer

-1 marks = For every incorrect answer

0 marks = Not choosing any answer

She secures 110 marks.

Option a) :

28 correct answers and 2 incorrect answers.

Marks for 1 correct answer = 4

Marks for 28 correct answers = 4 × 28 = 112

Marks for 1 incorrect answer = -1

Marks for 2 incorrect answers = -1 × 2 = -2

Total marks = 112 + (-2) = 112 - 2 = 110.

This option is correct.

__________________________

Option b) :

29 correct answers and 6 incorrect answers

Marks for 1 correct answer = 4

Marks for 29 correct answers = 4 × 29 = 116

Marks for 1 incorrect answer = -1

Marks for 6 incorrect answers = -1 × 6 = -6

Total marks = 116 + (-6) = 116 - 6 = 110

This option is also correct.

_________________________

Option c) :

30 correct answers and 10 incorrect answers

Marks for 1 correct answer = 4

Marks for 30 correct answers = 4 × 30 = 120

Marks for 1 incorrect answer = -1

Marks for 10 incorrect answers = -1 × 10 = -10

Total marks = 120 + (-10) = 120 - 10 = 110

This option is also correct.

Hence option d) is suitable.

$\huge\mathbb{Hope \ this \ helps.}$

Answer 2

Answer:

28correct , 2incorrect