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 cannot be less than
6
12
3
9
15
score
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- shashank.ism
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- shashank.ism
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sanjayism will you provide detailed solution of the same though its a simple question of conditinal 3 unknowns....BTW you are correct in your answer it is C ie. 3.sanjayism wrote:answer (c) 3
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- sanjayism
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no of correct answers ( a) mark +1
no of incorrect answers ( b) mark -1/3
no of un-attested answers ( c) mark -1/6
a+b+c =50 (i.e. total no of questions) -------------------------------------(i)
1*a + (-1/3)*b + (-1/6) * c = 32 ( i.e. total marks obtained) ----------(ii)
(i)+(ii)*6
7 * a - b =242
a= (242+b)/7
= 34 +[(b+4)/7]
b=3 is only value from the answer choice which give an integer value of a . no of correct answered question must be integer.
no of incorrect answers ( b) mark -1/3
no of un-attested answers ( c) mark -1/6
a+b+c =50 (i.e. total no of questions) -------------------------------------(i)
1*a + (-1/3)*b + (-1/6) * c = 32 ( i.e. total marks obtained) ----------(ii)
(i)+(ii)*6
7 * a - b =242
a= (242+b)/7
= 34 +[(b+4)/7]
b=3 is only value from the answer choice which give an integer value of a . no of correct answered question must be integer.
kumar sanjay