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A certain desk calendar shows the number of the day of the year and the number of days remaining in the year. If the calendar shows for Saturday, January 1, what does the calendar show for the Tuesday that is 20 weeks after the first Tuesday in January?

Which of the following set has the greatest number of integers from 1 to 100, inclusive?

Quantity A

The remainder when $$10^{8}$$+$$10^{9}$$+$$10^{10}$$+$$10^{11}$$ is divided by 11

Quantity B

0


$$d$$ is the greatest common divisor of 36 and 60, $$m$$ is the least common multiple of 36 and 60.

Quantity A

$$\frac{36}{d}$$

Quantity B

$$\frac{m}{60}$$


The degree measure of each angle of a regular polygon with n sides is between 100 and 130. Which of the following could be the value of n?

Indicate all such integers.

The hexagon is both equilateral and equiangular.

Quantity A

P

Quantity B

Q



Quantity A

The perimeter of ABCD

Quantity B

The sum of the lengths of diagonals AC and BD





x=y

BD∥AE

Quantity A

The area of △ACE

Quantity B

The area of △BDF



The figure shown consists of a rectangle with length 14 and width 6, together with three isosceles right triangles. What is the area of the entire figure?
A total of $60,000 was invested for onemonth in a new money market account that paid simple annual interest at the rate of r percent. If the investment earned $450 in interest for the month, what`s the value of r?


C is the midpoint of semicircle ABCD.

Quantity A

The area of region ABD

Quantity B

The area of region ACD


In the xy -plane, the circle with radius 50 and center (0, 0) passes through which of the following points?

Indicate all such points.
S={1, 2, 3, 4, 5}
T={6, 7, 8, 9, 10}
What is the number of different values that can be obtained by adding a member of set S to a member of set T?
Joe remembers the first 8 digits of a 10-digit telephone number. If he uses the digits he remembers,what is the maximum number of telephone numbers that he may have to enter in order to reach the correct telephone number?
If $$-1 < y < 0$$, what is the relationship between $$y$$, $$y^{2}$$, $$y^{3}$$, and $$y^{4}$$?
Let a be the greatest integer such that $$5^{a}$$ is a factor of 1,500, and let b be the greatest integer such that $$3^{b}$$ is a factor of 33,333,333. Which of the following statements are true?

Indicate all such statements.
a = $$3^{11}$$+$$3^{16}$$+$$3^{19}$$+$$3^{23}$$)?

What is the units digit of a?

Quantity A

The remainder when $$8^{43}$$ is divided by 7

Quantity B

1


Quantity A

The remainder when $$7^{22}$$ is divided by 5

Quantity B

4


When the product of four prime numbers a, b, c and d is divided by 77, the result is a multiple of 5. When the product of these four prime numbers is divided by 7, the result could be?

Indicate all such numbers.

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