The average weight of some animals on a farm is 40 kg when 2 new animals joined the average is increased by 0.5 kg. If the weight of those 2 animals is 45 and 51 kg, find the total number of animals present initially.

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

Six persons - Akshay, Bobby, Celina, Dimple, Esha, and Faisal took up a job with XYZ Consultants in a week from Monday to Saturday. Each of them joined for different posts on different days. The posts were of-Clerk, Officer, Technician, Manager, Supervisor and Sales Executive though not in the same order. Faisal joined as a Manager on the first day. Bobby joined as a Supervisor but neither on Wednesday nor Friday. Dimple joined as a Technician on Thursday. The officer joined the firm on Wednesday. Esha joined as a clerk on Tuesday. Akshay joined as a Sales Executive. Who joined the firm on Wednesday?

A

Celina

B

Esha

C

Data inadequate

D

Bobby

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.

The average weight of a group of 10 girls is 48 kilograms. If 2 girls R and S, replace by P and Q then the new average weight is 46 kg. The weight of P is equal to the weight of Q and the weight of R is equal to the weight of S, another girl T joins the group and the new average weight of the group becomes 46 kg. The weight of T is equal to the weight of P. What is the weight (in kg) of R?

A

50

B

56

C

54

D

52

The average weight of a group of 12 girls is 48 kg. If 2 girls R and S replace P and Q, the new average weight becomes 46 kg. The weight of P = the weight of Q. The weight of R = the weight of S. Another girl T, is included in the group and the new average weight becomes 46 kg. The weight of T = the weight of R. What is the weight of P (in kg)?

A

56

B

58

C

54

D

50

The average weight of some children in a group was 48.5 kg. When 6 students having average weight 50.4 kg left the group and 4 students having average weight 56.55 kg joined the group, then the average weight of the children in the group increased by 0.8 kg. The number of children, initially, in the group was

A

32

B

30

C

28

D

26

In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and chose the correct option. Quantity A: The average weight of 24 men is increased by 1.5 kg when a man in the crew whose weight is 50 kg is replaced by a new man. Find the weight of the new man? Quantity B: The average weight of a class of 40 students is 46 kg. If the weight of teacher is included with the students, the new average becomes 47 kg. Find the weight of teacher?

A

Quantity A > Quantity B

B

Quantity A < Quantity B

C

Quantity A = Quantity B

D

Quantity A ≤ Quantity B

E

Quantity A ≥ Quantity B

What is the condition for a tree to be weight balanced. where a is factor and n is a node? >= a*weight and weight >= a*weight. b) weight >= a*weight and weight >= a*weight. c) weight >= a*weight and weight >= a*weight. d) weight is a non zero

A

weight >= a*weight and weight >= a*weight.

B

n.left

C

n.left

D

n.left

In a farm there are equal number of hens and cows. If you count the number of total legs and heads, its 42 more than the number of animals present. What is the total number of animals present in the farm?

A

6

B

14

C

7

D

17

Consider the following steps
1. Identification of problems in the existing farm plan
2. Assessment of resources of the farm
3. Preparation of alternative farm plan
4. Analysis of the existing farm plan
The correct sequence of these steps in farm planning would be

A

2, 4, 1, 3

B

4, 2, 1, 3

C

2, 4, 3, 1

D

1, 2, 3, 4

The average weight of some animals on a farm is 40 kg when 2 new animals joined the average is increased by 0.5 kg. If the weight of those 2 animals is 45 and 51 kg, find the total number of animals present initially.

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