Question

In a true or false test containing 50 questions, a student is to be awarded 2 marks for every correct answer and -2 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? Also pls provide the steps for your answer.

Answer 1

let  x = correct  answers,  y =  wrong  answers, z = no  answer

x + y + z = 50   and   2x - 2y + z* 0 = 94 ,  so x -y = 47

2x + z = 97   so  z  is  odd  number,  taking  z=1,  x =48  and  y =1

we  get   48*2 - 1* 2  + 1* 0 = 94