There are 3 groups of persons - male, female and children. There are 20 males and the number of females and children taken together is 4 more than that of the males. The average weight of males is 54 kg, that of females is 49 kg and that of children is 30 kg. If the average weight of the whole group is 48.25 kg, then what is the difference between the number of females and the number of children?

The average weight of 30 persons of group A is 3 kg more than the average weight of 25 persons of group B. The average weight of 25 persons of group B is 2.5 kg more than the average weight of 20 persons of group C. If the total weight of 30 persons of group A is 1725 kg, then what will be the average weight of the persons of group A and group C taken together (in kg)?

A

55.3

B

55.4

C

55.1

D

55

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.

In a group of 140 people 1 / 5 are males, ¼ of remaining are females and rest are children. If the average weight of children is 30 kg and the average weight of females is twice the average weight of C, Also the average weight of males is 1.5 times the average age of F. The average weight of whole group is?

A

45

B

48

C

56

D

54

E

68

The average weight of some persons in a group is 76 kg. If 15 persons with average weight 72 kg join the group or 5 persons with average weight 84 kg leave the group, the average weight of the persons in the group in both cases is the same. How many persons were there in the group, initially?

A

25

B

45

C

50

D

30

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

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. How many males are there in society A? I. Number of females in society B is 56 more than the number of males in society C. Society C has a total population(male and female combined) of 180. II. Society C has 20% more males than society A who makes 60% of the total population of society A and females in society A is equal to males in society B.

A

1) 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

2) 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

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

D

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

E

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

The average weight of some persons in a group is 72 kg. When 5 persons with average weight 66.6 kg join and 13 persons with average weight 75 kg leave the group, the average weight of the persons in the group decreases by 1.65 kg. How many persons were there in the group initially?

A

40

B

38

C

44

D

48

In a group of 78 persons, the ratio of the numbers of males and females is 7 : 6. The average height of all the persons is 160.2 cm. If the average height of males is 5% more than that of females, then what is the average height (in cm) of females in the group?

A

157.6

B

158

C

156.4

D

156

In a party there are male and female members. If 15 female quit then the number of females will become double the number of males. If 45 males quit no. of female becomes five times the number of males. Find the number of females ?

A

175

B

145

C

165

D

135

The total number of males and females in a town is 70,000. If the number of males is increased by 6% and that of the females is increased by 4%, then the total numbers of males and females in the town would become 73520. What is the difference between the number of males and females in the town, in the beginning?

A

1500

B

1400

C

1800

D

2000

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