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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 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 change in length due to a tensile or compressive force acting on a body is given by (where P = Tensile or compressive force acting on the body, $$l$$ = Original length of the body, A = Cross-sectional area of the body and E = Young's modulus for the material of the body)
A $$\frac{{{\text{P}}l{\text{A}}}}{{\text{E}}}$$
B $$\frac{{{\text{P}}l}}{{{\text{AE}}}}$$
C $$\frac{{\text{E}}}{{{\text{P}}l{\text{A}}}}$$
D $$\frac{{{\text{AE}}}}{{{\text{P}}l}}$$
Whenever some external system of forces acts on a body, it undergoes some deformation. As the body undergoes some deformation, it sets up some resistance to the deformation. This resistance per unit area to deformation, is called
A Strain
B Stress
C Pressure
D Modulus of elasticity
In a certain office, the human resources department reports that 60% of the employees in the office commute over an hour on average each day, and that 25% of those employees who commute over an hour an average each day commute by train. If an employee at the office is selected at random, what is the probability that the employee commutes over an hour on average by train?
A 0.10
B 0.15
C 0.20
D 0.25
In a set of three numbers, the average of first two numbers is 2. The average of the last two numbers is 3, and the average of the first and the last numbers is 4. What is the average of three numbers ?
A 3
B 6
C 9
D 24
The average of eight numbers in 14. The average of six of these numbers 16. The average of the remaining two numbers is 16. The average of the remaining two numbers is-
A 4
B 8
C 16
D Data inadequate
In company X, the average salary of 10 of the employees is TK. 30,000 the average salary of 30 other employees is TK. 40,000 and the average salary of the remaining 20 employees TK. 60,000. What is the average salary of the 60 employees at the company ?
A TK. 40,000
B TK. 43,000
C TK. 45,000
D TK. 60,000
The average of six numbers is 3.95. The average of two of them is 3.4, while average of the other two is 3.85. What is the average of the remaining two numbers?
A 4.5
B 4.6
C 4.7
D 4.8
The average age of a group of 10 students was 20. The average age increased by 2 years when two new students joined the group. What is the average age of the group. What is the average age of the two new students who joined the group?
A 22 years
B 30 years
C 40 years
D 32 years

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