Directions (Next Five Questions) : Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and
(Applicable only to the following question)
what is the total number of students (male and Female) in the class?
I. the average weight of the students of the class is 61.08 kg. the average weight of male students is 63 kg and the average weight of the female students is 59 kg. The difference between number of male students and number of female students is 3.
II. The respective ratio of number of male students and number of female students in the class is 13:12.
- If the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question
- If the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question.
- If the data in both the statements I and II together are sufficient to answer the question.
- If the data either in statements I or in statement II alone are sufficient to answer the question.
- If the data in both the statements together are not sufficient to answer the question
- Explanation:
From Statement I
Let the total number of student be X
Let the male students be A and female students be B.
It is given that,
A-B = 3
and A + B = x
Weight of total students = 61.08 × x
Weight of male students = 63 × A
Weight of female students = 59 × B
∴ 61.08(3+2B) = 63(3+B) + 59B
183.24+122.16B=189+63B+59B
0.16B=5.76
B=36
∴ A=39
∴ Total number of students = 36+39=75
