First class timber has an average life of

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

There are five classes class 1, class 2, class 3, class 4 and class 5 in a school. They are one above the other. Class 1 is at the bottom, then class 2 above it and so on. Five videos M1, M2, M3, M4 and M5 are displayed in these given classes. Only one video is displayed in a particular class. Each video is displayed only one time. Video M5 is displayed at an even numbered class. Video M2 is displayed at class 1. Video M1 is displayed at the class just below M5. Video M4 is not displayed at even numbered class. Which of the following statement is not correct?

A

Only one video is displayed after M3

B

Only two videos are displayed above M1

C

Only one video is displayed between M2 and M5

D

M1 is displayed between M3 and M5

Three maths classes: X, Y, and Z take an algebra test. The average score of class X is 83. The average score of class Y is 76. The average score of class Z is 85. The average score of class X and Y is 79 and the average score of class Y and Z is 81. What is the average score of the combined classes X, Y, and Z?

A

81

B

81.5

C

82

D

84.5

Three science classes: A, B and C take an Biology test. The average score in class A is 84. The average score in class B is 77. The average score in class C is 86. The average score of all students in class A and B is 80. The average score of all students in class B and C is 82. What is the average for all the three classes?

A

83

B

81.5

C

81

D

82.3

Three maths classes: A, B and C take an algebra test. The average score of class A is 83. The average score of class B is 76. The average score of class C is 85. The average score of class A and B is 79 and average score of class B and C is 81. What is the average score of classes A, B, C ?

A

81

B

78

C

80.5

D

81.5

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.

A class has 20 boys and 20 girls. The average age of girls in the class is 16 years and the average age of boys in the class is 17 years. One girl and one boy leave the class and the average age of the girls reduced by 1 year and that of boys reduced by 2 years. Find the new average age of the whole class.

A

15 years

B

22 years

C

10.5 years

D

20 years

The average marks of the first 11 students of a class are 46 and the average marks of the last 11 students of a class are 44. The average class of 21 students in the class is 45. What will be the average marks of the first 10 students?

A

46.1

B

48.8

C

47.6

D

44.5

E

43.4

Three math classes , X, Y , and Z, take an algebra test. The average score in class X is 83. The average score in class Y is 76. The average score in class Z is 85. The average score of all students in classes X and Y together is 79. The average score of all student classes Y and Z together is 81. What is the average for all the three classes?

A

81

B

81.5

C

82

D

84.5

The average marks obtained by 42 students of class A is 79 whereas, the average marks of 38 students of class B is 76. If marks of 5 students are removed who got minimum marks from class A, the average marks of class A is increased by 3 marks, then find the new average marks of class A and B.

A

78.46

B

24.56

C

78.96

D

93.76

First class timber has an average life of

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