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Xavier Aptitude Test 2014 Paper
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© examsnet.com
Question : 54 of 103
Marks:
+1
,
-0
Prof. Suman takes a number of quizzes for a course. All the quizzes are out of 100. A student can get an A grade in the course if the average of her scores is more than or equal to 90. Grade B is awarded to a student if the average of her scores is between 87 and 89 (both included). If the average is below 87, the student gets a C grade. Ramesh is preparing for the last quiz and he realizes that he must score a minimum of 97 to get an A grade. After the quiz, he realizes that he will score 70, and he will just manage a B. How many quizzes did Prof. Suman take?
6
7
8
9
None of these
Validate
Solution:
(d) Let the total number of quizzes = x
and score of previous quizzes = y
∴
y
+
97
x
=
90
,
y
+
70
x
=
87
⇒
y
x
+
97
x
=
90
,
y
x
+
70
x
=
87
⇒
y
x
=
90
−
97
x
........(i)
⇒
y
x
=
87
−
70
x
..........(ii)
From (i) and (ii)
∴
90
−
97
x
=
87
−
70
x
3
=
−
70
x
+
97
x
=
27
x
© examsnet.com
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