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

Question

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 will 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?

Accepted Answer

9 — Total exams given = x Score of previous exams = y y + 97 x = 90 y + 70 x = 87 y x + 97 x =90 y x + 70 x = 87 y x = 90 - 97 x y x = 87 - 70 x &there4; 90 - 97 x = 87 - 70 x âââââââ 3 = - 70 x + 97 x = 27 x âââââââ x = 9 Hence, option (d).

XAT 2014 — QA & DI Question 4

Answer & solution