CAT Quantitative Ability Questions | CAT Algebra questions

CAT/2003

Question . 129

A test has 50 questions. A student scores 1 mark for a correct answer, –1/3 for a wrong answer, and 1/6 for not attempting a question. If the net score of a student is 32, the number of questions answered wrongly by that student can not be less than

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Explanatory Answer

Method of solving this CAT Quantitative Ability Question from Algebra question

(c) Let x be the number of questions answered correctly, y be wrong attempts and hence (50 – x – y) becomes the number of questions not attempted.

Then, net score

We get y = 3 for x = 35, which is the minimum value of y as for any value of x > 35, y starts increasing.