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Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the average weight of new students added? I. In a class 60% students are male and there average weight is 15 kg more than the female students, 9 males and 6 new female students joined the class and the average weight of the class increased by 0.84 II. Total male students in the class is 12 more than female students adding 9 male students to the class increases the average weight of male students by 1 kg and adding 6 female students increases the average weight of female students by 0.6.

Each question below is followed by two statements I and II. You have to determine whether the data given in the statements are sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer. What is the average weight of new students added? I. In a class 60% students are male and there average weight is 15 kg more than the female students, 9 males and 6 new female students joined the class and the average weight of the class increased by 0.84 II. Total male students in the class is 12 more than female students adding 9 male students to the class increases the average weight of male students by 1 kg and adding 6 female students increases the average weight of female students by 0.6. Correct Answer <p>If the data even in both the statements I and II together are not sufficient to answer the question.</p>

Using statement I

Let the total students in the class be x

⇒ Male in the class = (60/100) × x = 3x/5

⇒ Females in the class = (40/100) × x = 2x/5

Let the average weight of female students be y

Then, the average weight of male students = y + 15

Sum of the weight of male students = (3x/5) × (y+ 15) = 3xy/5 + 9x

Sum of the weight of female students = (2x/5) × y = 2xy/5

∴ Average weight of the class = (3xy/5 + 9x + 2xy/5)/x = (xy + 9x)/x = y + 9

New average of the class = y + 9 + 0.84 = y + 9.84      ----(i)

Statement I alone is not sufficient to answer the question

 

Using statement II

Total male students in the class is 12 more than female students

∴ If number of female students = x

Then, number of male students = x + 12

Let average weight be male students be y 

∴ New average weight of male = y + 1

Average weight of female students be z

∴ New average weight of female = z + 0.6

Statement II alone is not sufficient to answer the question

 

Using statement I and statement II together,

Total male students in the class is 12 more than female students

⇒ (3x/5) – (2x/5) = 12

⇒ x = 60 

∴ Male students = 3x/5 = 180/5 = 36

Female students = 2x/5 = 120/5 = 24

Avg weight of female and male students is y and (y + 15) respectively

Adding 9 male students to the class increases the average weight of male students by 1 kg and adding 6 female students increases the average weight of female students by 0.6

⇒ Total male in the class = 36 + 9 = 45, Total female in the class = 24 + 6 = 30

⇒ New avg of male = y + 16, New avg of female = y + 0.6

∴ New total average of class = {45(y + 16) + 30(y + 0.6)}/75 = (75y + 738)/75      ----(ii)

Equating (i) and (ii)

(75y + 738)/75 = y + 9.84

∴ y cannot be determined

∴ If the data even in both the statements I and II together are not sufficient to answer the question.

 

 

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