The average weight of 60 students in a class is 56.4 kg. If 12 students having average weight 59.5 kg leave and 15 students having average weight 54 kg join the class, then what is the average weight (in kg) of the students in the class (correct to one decimal place)?

There are six persons namely A, B, C, D, E and F. They all take leave from office on any one day of the week starting from Monday to Saturday. Only one person takes leave on one day. C is the first person to take a leave. Three persons take leave between D and C. F takes leave just after D. E takes leave on Wednesday. B takes a leave after A. Who takes a leave on Thursday?

A

B

D

C

E

D

B

E

F

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.

A

If the data in statement I alone is sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.

B

If the data in statement II alone is sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

C

If the data either in statement I alone or in statement II alone is sufficient to answer the question.

D

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

E

If the data in both statements I and II together are needed to answer the question.

Questions below followed by three quantities. Find the relationship between them. Quantity I: In a class with a certain number of students if a teacher weighing 78 kg is added, then average weight of class is increased by 2 kg. If one more teacher weighing 66 kg is added, then the average weight of the class increases by 3.5 kg over the original average. What is the original average weight (in kg) of the class? Quantity II: The average age of 16 students and their teacher's age is 16 years. If the teacher's age is excluded, the average reduces by 2. What is the teacher's age? Quantity III: Average weight of three friends A, B and C is 46 kg. Another person D joins the group and now the average is 45 kg. If another person E whose weight is 6 kg more than D, joins the group replacing A, then average weight of B, C, D and E becomes 47 kg. What is the weight of A (in kg)?

A

Quantity I > Quantity II < Quantity III

B

Quantity I > Quantity II > Quantity III

C

Quantity I < Quantity II > Quantity III

D

Quantity I < Quantity II < Quantity III

E

Quantity I = Quantity II = Quantity III

The average weight of some students in a group is 42 kg. If 8 students having average weight 44 kg leave the group and 3 students having average weight 48.25 kg join the group, the average weight of the new group is 50 g more than that of the original group. How many students were there in the group initially?

A

54

B

58

C

55

D

60

The average weight of 45 students in a class is 52 kg. Five of them whose average weight is 48 kg leave the class and other 5 students whose average weight is 54 kg join the class. What is the new average weight (in kg) of the class?

A

$$52\frac{1}{3}$$

B

$$52\frac{1}{2}$$

C

$$52\frac{2}{3}$$

D

None of these

Seven people A, B, C, D, E, F and G live on separate floors of a 7-floor building. Ground floor is numbered 1, first floor is numbered. 2 and so on until the topmost floor is numbered 7. Each one of these having a different cars-Cadillac, Ambassador, Fiat, Maruti, Mercedes, Bedford and Fargo but not necessarily in the same order. Only three people live above the floor on which A lives. Only one person lives between A and the one having a car Cadillac. F lives immediately below the one having a car Bedford. The one having a car Bedford lives on an even-numbered floor. Only three people live between the ones having a car Cadillac and Maruti. E lives immediately above C. E is not having a car Maruti. Only two people live between B and the one having a car Fargo. The one having a car Fargo lives below the floor on which B lives. The one having a car Fiat does not live immediately above D or immediately below B. D does not live immediately above or immediately below A. G does not have a car Ambassador. Question : How many people live between the floors on which D and the one having a car Bedford ?

A

One

B

Two

C

Three

D

Four

Quantity I: The average age of a cricket team of 11 players is x years. After three years, four players leave the team and four new players join in place of them then the current average age becomes (x + 2) years. The current average age of the players who left the team was 18 years then find the average of the current age of the 4 new joiners? Quantity II: In a group of 6 students, the average age of the 5 youngest students is 12 years and the average age of the 5 oldest students is 15 years. What is the average age of all the students? (it is given that the age of them is in arithmetic progression)?

A

Quantity I = Quantity II or No relation

B

Quantity I > Quantity II

C

Quantity I ≤ Quantity II

D

Quantity I ≥ Quantity II

E

Quantity I < Quantity II

The average weight of 40 students of a class is 60 kg. When 10 new students join the class, the average weight becomes 64 kg. If the average weight of 5 of the new students is 72 kg, then what is the average weight (in kg) of the remaining 5 new students?

A

85.5

B

86.5

C

88

D

86

The average weight of all players in the playground initially is 72 kg. If 8 players in the playground having an average weight of 70 kg leave and 2 players having an average weight of 108 kg join, the average weight of the players in the playground becomes 74 kg. If n players are left which of the following is/are correct? A. n = 50 B. n + 11 is a multiple of 11 C. n/11 is divided by 4 D. n + 5 is a perfect square

A

Only A

B

C and D

C

B and D

D

B, C and D

If 10 employees in an organization having an average weight of 73 kg leave and 5 employees having an average weight of 70 kg join, the average weight of the employees in the organization decreases by 0.4 kg. The average weight of all employees in the organization initially is 70 kg. If the number of employees initially in the organization is n, which of the following is/are correct? I. 73 employees are left II. n is a multiple of 16 III. 70 < n < 80

A

Only I

B

Only II

C

Only III

D

I and III

The average weight of 60 students in a class is 56.4 kg. If 12 students having average weight 59.5 kg leave and 15 students having average weight 54 kg join the class, then what is the average weight (in kg) of the students in the class (correct to one decimal place)?

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