the number of questions answered wrongly ?
Sir / Madam,
My questions is,
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
Advance Thanks,
R.Rengaraj
{InfosysTrain-Q102 Pg26}
My questions is,
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
Advance Thanks,
R.Rengaraj
{InfosysTrain-Q102 Pg26}
Replies
-
Sahithi PallaviI think its 11.
Am I right? -
Saandeep SreerambatlaThe answer should be 10.
Since, if we consider student to answer 36 questions correctly, then there would be 14 questions left.
Out of which 10 answered incorrectly and 4 left.
which adds up to 10*1/3 + 4*1/6 = 4.
Thus he scored 36-4 = 32 marks. -
Sahithi Pallaviyes 10 is the correct answer, Mistakenly I said as 11.
-
rengarajI suggest both answers 10 & 11 are incorrect.
-
Sahithi PallaviOh!! Then whats the answer rengaraj.
-
rengarajDear Sahithi
I am not sure of the right answer. But, Out of given choices your answer doesn't exist.
R.Rengaraj -
rengarajthe provided choices are
a. 6
b. 12
c. 3
d. 9 -
vik001indSuppose
no of correct answers = x
no of wrong answers = y
no of unattempted questions = z
Therefore we will have 2 equations after evaluating it, that are
x + y + z = 50 ----------(1)
(x - y*1/3 - z*1/6 =32 ) => 6x -2y - z = 192 --------------(2)
now add both of them
we will get
7x - y = 242 or 7x - 242 = y -----------(3)
we know that x & y must be positive integers including 0
least possible no. of y = 3 for y to be +ve where x = 35 (7*35 - 242 = 3 )
so answer (c) 3 -
rengarajThanks for your explanatory answer.
R.Rengaraj -
Saandeep SreerambatlaNice explanation thanks Vik!!
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