Answer:
1. 47 correct, 0 wrong and 3 unanswered
2. 48 correct, 1 wrong and 1 unanswered
Step-by-step explanation:
Given;
Total number of questions = 50
For correct answers = 2
For wrong answers = -2
Unanswered questions = 0
Yash scored 94 marks
Let c, w and u represent the number of correct, wrong and unanswered questions
2×c - 2 × w + 0×u = 94
2c -2w = 94 .....1
And;
c + w + u = 50 .....2
We have 2 equations and 3 unknowns
By observing the problem, we can see two possible solutions;
Case 1: Assuming he did not miss (get wrong) any answer;
He needs to score 47 answers right;
47 × 2 = 94
Then;
c = 47 w = 0 and u = 50 - (47+0) = 3
47 correct, 0 wrong and 3 unanswered
Case 2: Assuming he got one answer wrong;
He would need to score one more answer right compared to the first case;
(47+1) × 2 - 1 × 2 = 96 - 2 = 94
c = 47+1 = 48
w = 1
u = 50 - (48+1) = 1
So he need to score 48 correct answers, 1 wrong answer and 1 unanswered.
