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M > N

Quantity A

|-M| - |-N|

Quantity B

|-N| - |-M|


Quantity A

The number of tenths equal to 1.4

Quantity B

The number of hundredths equal to 1.3


In a survey of drivers, 36% of male drivers hate driving at night, while 48% of female drivers hate driving at night. As a whole, 45% of all drivers hate driving at night. What is the ratio of male drivers to all the drivers in the survey?

Give your answer as a fraction.
A company has a certain number of trucks and limousines. If 60% of limousines have special autopilot system in place, while 24% of all cars are limousines equipped with such special autopilot system, then what is the ratio of the number of limousines to the number of all cars?

Give your answer as a fraction

Quantity A

The number different line segments that can be formed when connecting 6 different points on a circle

Quantity B

15


7 kids play poker games together, and every two kids play five rounds to determine who wins. How many rounds do they need to play so that every kid plays with all the other kids?
Each person at a party shook hands exactly once with each of the other people at the party. There was a total of 21 handshakes exchanged at the party.

Quantity A

The number of people at the party

Quantity B

8


What's the number of integers between 1 and 2,000, inclusive, that can be transformed into not only a perfect square number and also a perfect cubic number?
6x+7y+8z=121

8x+7y+6z=140

x+y+z=?

Give your answer as a fraction.
1 < x+y

Quantity A

$$x^{2}$$+$$y^{2}$$

Quantity B

1


Quantity A

$$\frac{111}{1,111}$$

Quantity B

$$\frac{1,111}{11,111}$$


What is the maximum possible number of interior angles that are right angles of a convex decagon (10-sided polygon)?
The operation ※ is defined for all integers x and y as x※y=xy-y. If x and y are positive integers, which of the following CANNOT be zero?
Line k lies in the xy-plane. The x-intercept of line k is -4, and line k passes through the midpoint of the line segment whose endpoints are (2, 9) and (2, 0). What is the slope of line k ?

Give your answer as a fraction.
P, Q, and T are three distinct points in a plane.

Quantity A

The number of lines in the plane that pass through points P, Q and T

Quantity B

1


Quantity A

The sum of interior angles of a square

Quantity B

The sum of any four interior angles of a pentagon


What is the maximum possible number of interior angles that are right angles of a convex decagon (10-sided polygon)?

Quantity A

The sum of interior angles of a square

Quantity B

The sum of any four interior angles of a regular pentagon


If the perimeter of a right-angled isosceles triangle is (1+$$\sqrt{2}$$), then the area of the triangle is?
Give your answer as a fraction.

In the figure, what is the area of triangle ADB given that the area of triangle ACE is 4 and the area of triangle CDE is 3?
Give your answer as a fraction.
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