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[转帖]More math jj from North America Dec. 20

Here are some more math JJ that I was able to squeeze out of my memory.

Kathy teaches two classes, K and L. She can divide both classes into groups. After the dividing, each class will have one student remaining. How many students in class K?

(1) There are 6 students in each group in class K and 7 students in each group in class L.

(2) There are five more students in class K than in class L. or it is “ There are five more groups in class K than in class L.” I am not quite sure which one it is.

X and Y are two positive integers and 0<x<1<y<2. Is 2X > 1?

(1) XY >1

(2) forgot

One circle is tangent with one axis of the X Y plane, the center of the circle is (3, 4). What is the area of the circle?

(1): the area is less than 25 Pie

(2): could not remember.

There are four sets pokers, each contain nine cards numbered from 1 to 9. Withdraw one card randomly and do not put back in, what is the number of the card withdrew?

(1) The unit of the sum of the remaining cards is 6.

(2) The sum of the all remaining cards is 176.

A stock X’s price decreased by 40% from 1981 to 1982. Is the price of the stock at the end of the 1983 is higher than it was in 1981?

(1) The price in 1983 is $3 more than in 1982.

(2) The price of the stock in 1983 is $15

Line K and Line L are perpendicular to each other in the x y plane. Is line K’s slope greater than 2?

(1) Line L’s slope is greater than – 1/3

(2) Line L’s slope is less than –1/4

What is the remainder of the integer N divided by 2?

(1) (N + 1)/4 = odd integer

(2) Forgot

A series of numbers. A1 = 1, A2 = 100, from A3 on, each one is the average mean of the previous two numbers. What is A10?

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