Xavier Aptitude Test 2014 Paper

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}

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