XAT 2017 Question 54
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XAT
Both Amit and Ben scored 35 marks. 4 marks are awarded for a correct answer and 1 mark is deducted for an incorrect answer.
Let the number of questions that Amit got right be 'x'.
=> 4x -(10-x) = 35
5x = 45
x = 9.
Therefore, Amit must have made only 1 mistake. The same must have been the case with Ben too.
The responses given by the 3 persons are as follows:
AMIT T T F F T T F T T F
BENN T T T F F T F T T F
CHITRA T T T T F F T F T T
Amit and Ben have given different responses for question 3 and question 5. Therefore, one of them must be wrong in each of these questions. Also, Amit must have given the correct answer for one of these 2 questions and Ben must have answered the other one correct, since both of them got 9 questions correct.
Let us assume Amit has given an incorrect response for question 3 and Ben has given an incorrect response for question 5. In this case, Chitra's would have given 4 correct responses (questions 1,2,3, and 9). Chitra's score would have been 4*4 - 6 = 10.
Let us assume Amit has given an incorrect response for question 5 and Ben has given an incorrect response for question 3. In this case, Chitra's would have given 4 correct responses (questions 1,2,5, and 9). Chitra's score would have been 4*4 - 6 = 10
Therefore, Chitra's score should have been 10 and hence, option A is the right answer.