In an objective type test containing 25 questions. A student is to be awarded +5 marks for every correct answer, –5 for every incorrect answer and zero for not writing any answer. Mention the ways of scoring 110 marks by a student.

In an objective type test containing 25 questions. A student is to be

1.	In an objective type test containing 25 questions. A student is to be awarded +5 marks for every correct answer, –5 for every incorrect answer and zero for not writing any answer. Mention the ways of scoring 110 marks by a student.
Answer» Marks scored = +110 So, minimum correct responses = 110 ÷ (+5) = 22 Case 1 Correct responses = 22 Marks for 1 correct response = + 5 Marks for 22 correct respones = +110 (22 × 5) Marks scored = +110 Marks obtained for incorrect answer = 0 So, no incorrect response And, therefore, 3 were unattempted Case 2 Correct responses = 23 Marks from 23 correct responses = + 115 (23 × 5) Marks scored = + 110 Marks obtained for incorrect answers = 110 – (+115) = –5 Marks for 1 incorrect answer = –5 Number of incorrect responses = (–5) ÷ (–5) = 1 So, 23 correct, 1 incorrect and 1 unattempted. Case 3 Correct responses = 24 Marks from 24 correct responses = + 120 (24 × 5) Marks scored = + 110 Marks obtained for incorrect answers = +110 – (+120) = –10 Number of incorrect responses = (–10) ÷ (–5) = 2 Thus the number of questions = 24 + 2 = 26. Whereas, total number of questions is 25. So, this case is not possible. So, the possible ways are: • 22 correct, 0 incorrect, 3 unattempted • 23 correct, 1 incorrect, 1unattempted.