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3 Real Gmat questions


deeppurple

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a) Each of the 32 schools has 2 classes. The number of the teachers is 37.One class (at least?) has one teacher; one teacher teaches at least one class and at most 3 classes. What are the greatest number and the least number of the teachers who teach 3 classes?

 

b) When two numbers are taken out from 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, what is the deviation of the numbers left.

1) The median of the left numbers is 10

2) The average does not change

 

c) A table, the first line gives the number of workers (some of the numbers is expressed by x); the second line gives the corresponding working hours. What is the total number of the workers?

1) The average working hours is ...(some value given)

2) The workers work less than or equal to 1 hour is exactly half the total workers

 

NE 1? these are questions from the JJ's..:-)

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a) Each of the 32 schools has 2 classes. The number of the teachers is 37.One class (at least?) has one teacher; one teacher teaches at least one class and at most 3 classes. What are the greatest number and the least number of the teachers who teach 3 classes?

 

b) When two numbers are taken out from 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, what is the deviation of the numbers left.

1) The median of the left numbers is 10

2) The average does not change

 

c) A table, the first line gives the number of workers (some of the numbers is expressed by x); the second line gives the corresponding working hours. What is the total number of the workers?

1) The average working hours is ...(some value given)

2) The workers work less than or equal to 1 hour is exactly half the total workers

 

NE 1? these are questions from the JJ's..:-)

 

Total classes: 64

Total teachers: 37

 

The least number: 1

 

37 teachers * 1 class = 37 classes

of those 37, 24 teaches 1 additional class = 24

at least one teacher has to teach 3 classes (37+24+3=64)

 

The greatest number: 13

 

x=number of teachers who teach 1 class

y=number of teachers who teach 3 classes

 

x+y=37

x+3y=64

 

solving this set of equations for x, we get x=23,5 and 3y=40,5

 

Hence, the greatest integer for y is 13.

 

 

Q2

the median and the mean is 10

we can take 1 and 19, or 9 and 11 and the medain and the mean reamain the same.

Therefore, we can`tell the deviation

Ans E

 

I need more info to solve question 3.

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