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01 Feb 2026, 16:41
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
63% (03:03) correct
37%
(03:21)
wrong
based on 35
sessions
History
Date
Time
Result
Not Attempted Yet
At an entrance test for a business course, the students score 1 mark for every right answer and lose 1/4 mark for every wrong answer. If a question is left unanswered, no marks are scored or deducted. To gain admission, a student has to score 60 or above. A student X left some questions unanswered in the test. After the test, he realized that to gain admission, not more than 20 of his answered questions should be wrong. He also realized that had he attempted the entire question paper and had a maximum of 28 questions wrong, he still would have got the admission. How many questions did he leave unanswered?
(Source= QDSpro)
A. 15
B. 13
C. 12
D. 10
E. 8
(Source= QDSpro)
A. 15
B. 13
C. 12
D. 10
E. 8
01 Feb 2026, 16:42
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Bookmarks
Right Answer Explanation / Suggested Answer :
Case 1: Consider the student gets exactly 60 marks.
Let the number of right answers be x.
Number of wrong answers = 20
Marks scored = x ‒
20
4
= 60
x ‒ 5 = 60
⇒ x = 65
Number of answered questions = 65 + 20 = 85
Case 2: Consider the student gets 60 marks after attempting all questions.
Let the number of right answers be y.
Number of wrong answers = 28
Marks scored = y ‒
28
4
= 60
y ‒ 7 = 60
⇒ y = 67
Total number of questions in the test = 67 + 28 = 95
So, number of unanswered questions = 95 ‒ 85 = 10
Case 1: Consider the student gets exactly 60 marks.
Let the number of right answers be x.
Number of wrong answers = 20
Marks scored = x ‒
20
4
= 60
x ‒ 5 = 60
⇒ x = 65
Number of answered questions = 65 + 20 = 85
Case 2: Consider the student gets 60 marks after attempting all questions.
Let the number of right answers be y.
Number of wrong answers = 28
Marks scored = y ‒
28
4
= 60
y ‒ 7 = 60
⇒ y = 67
Total number of questions in the test = 67 + 28 = 95
So, number of unanswered questions = 95 ‒ 85 = 10
Amity007
