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Both train A and train B provide 24-hour service throughout the day. Train A passes by a certain station every 12 minutes, while Train B passes by the same station every 20 minutes. For how many times can these two trains pass by the station at the same time from 06:00AM to 10:30AM in the same day?

Indicate all such values.
If bottle A is filled with water, and then pour $$\frac{1}{2}$$ of the water into bottle B which was empty before. And then pour 1/4 of the water in bottle B into bottle A. At last, what fraction of bottle A is water?

Give your answer as a fraction.
Students are selected from two schools. In school A, the selection method is choosing one from every four students, and in school B, the selection method is choosing one from every six students. The number of students selected from school A is twice that of school B, what is the ratio of the number of students in school A to the number of students in school B?

Give your answer as a fraction
The ratio of A to B is 1:4 before a chemical reaction,   $$\frac{1}{4}$$of A was transformed into B, while at the same time,  $$\frac{1}{4}$$ of B was transformed into A, then what is the ration of A to B after the reaction.

Give your answer as a fraction.


Point Q (not shown) is on the number line between -2 and -1. Point R (not shown) is on the number line between 0 and 1. Point S (not shown) is on the number line between 3 and 4

Quantity A

QR

Quantity B

RS


On October 1, 2006, at a certain elementary school, the ratio of the number of students to the number of teachers was 34 to 1. By October 1, 2007, the number of students had increased by 5 percent and the number of teachers had increased by 2 percent from the previous year. What was the ratio of the number of teachers to the number of students at the school on October 1, 2007 ?

Give your answer as a fraction.
It is 500 kilometers between city G and city N. A person named A drives from G to N with the speed of 80 kilometers/hour, a person named B drives from N to G with the speed of 70 kilometers/hour. How many kilometers are between the two people with city N when they meet each other?

Give your answer as a fraction.
x > y > $$\sqrt{2}$$

Quantity A

x*y

Quantity B

x + y


What is the value of $$\frac{2^{239}}{4^{120}}$$?

Give your answer as a fraction.
A regular hexagon is inscribed in a circle,the diameter of the circle is d. What is the perimeter of the hexagon?
Three angles in a triangle : ∠A < ∠B < ∠C

Quantity A

∠A+∠B

Quantity B

∠C


The lengths of the two sides of the triangle are 1 and $$\sqrt{2}$$ respectively. What is the range of the length of the third side?
When 9 respondents are asked for frequency of watching movies per month, 5 respondents` frequency are 0, 1, 1, 2 and 2, respectively. The median frequency of the rest 4 respondents is 3. What is the greatest possible median of all the 9 respondents?
List L consists of 11 different positive numbers. The sum of the 6 smallest numbers in L is 35, and the sum of the 6 greatest numbers in L is 125. If the sum of all the numbers in L is 142, what is the median of the numbers in L?
There are 20,000 people in club A and 30,000 people in club B. There are 45,000 members who are in at least one club. If you choose one member from club A, what`s the probability that this member is also in club B? Give your answer as a fraction.
In a garage of trucks and four-wheelers, vehicles that are both trucks and four-wheelers account for $$\frac{2}{5}$$ of all trucks, while vehicles that are both trucks and four-wheelers account for $$\frac{1}{3}$$ of all four-wheelers. What is the ratio of vehicles that are both trucks and four-wheelers to all the vehicles in the garage?

Give your answer as a fraction.
The candies in a candy shop can be divided into unscented and scented, and they can also be divided into blue and green. There are 1000 unscented candies and 1000 blue candies. 25% of blue candies and 50% of green candies are scented. When the candies which are neither scented blue nor scented green are sold out, how many candies are there still in the shop?
If a and b are the two solutions of function $$3x^{2}$$+6x-3=0,what is the value of the product of a and b?
$$\frac{1}{a}$$+$$\frac{1}{b}$$=$$\frac{1}{c}$$and a+b=20,where a,b and c are positive numbers. What might be the value of c?

Indicate all such values.


Quantity A

4@(2@9)

Quantity B

(4@2)@9


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