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Aptitude · Q109

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Competitive Exams · Aptitude · question 109

Q109

A coaching institute has students in 3 batches – X, Y and Z. In a certain examination, the average marks obtained by these batches are 72, 60 and 50 respectively. The average marks of batches X and Y taken together is 69. If the ratio of the number of students in batches Y and Z is 6 : 7. What is the average score of all the three batches put together?

A.
59
B.
61.6
C.
63.5
D.
64.7
Answer
E.
65

Answer: Option D

Solution

Answer: Option D
Solution:
Let the number of students in batches Y and Z be 6x and 7x respectively, and the number of students in batch X be y.
Then,

∴ Required average