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Three students need to read 50 proposals. Each proposal has to be read by at least one student. Student A read 38 of them, Student B read 36 of them, while Student C read 28 of them. At least how many proposals are read by at least two students?
List A: 4, 6, 8, 10, 12, 14-
The above list of numbers is formed by adding 2 to each of the preceding term What is the 54th term of the list?
The first term of sequence K is 7 and the last term is 217. Each term after the first is 2 greater than the previous term. How many terms are in sequence K?
A certain holiday is always on the fourth Tuesday of Month X. If Month X has 30 days, on how many different dates of Month X can the holiday fall?
In a sequence, for any integer n greater than 1, $$a_{n}$$ is greater than its preceding term by 3 and $$a_{17}$$ is 55.

Quantity A

$$a_{98}$$

Quantity B

300


What is the sum of all the odd integers between 3 and 97, inclusive?
$$Q_{n}=3Q_{n-1}$$

Quantity A

$$Q_{28}$$

Quantity B

$$Q_{11}$$


In a sequence, $$S_{1}=5$$, $$S_{n}=2*S_{n-1}$$
Quantity A: $$S_{8}$$
Quantity B: $$S_{21}/S_{13}$$
Sequence $$S$$: $$a_{1}, a_{2}, a_{3},......,a_{n}$$........

In sequence $$S$$, $$a_{1}$$ is an integer and $$a_{n}=2a_{n-1}$$ for all integers n greater than 1. If no term of sequence S is a multiple of 100, which of the following could be the value of $$a_{1}$$?

Indicate all such values.
In a sequence, $$a_{1}$$=1, for any integer n greater than 1, $$a_{n}$$ is 12 times the square of its preceding term. If $$a_{5}$$=$$12^{n}$$, then what is the value of n
Eugene and Penny started a job in sales on the same day. Eugene's sales for the first month were r dollars and each month after the first his sales for that month were twice his sales for the preceding month. Penny's sales for the first month were 10r dollars, and each month after the first her sales for that month were 10r dollars more than her sales for the preceding month. Which of the following statements are true?
Indicate all such statements.
In a certain sequence of numbers, each term after the first term is found by multiplying the preceding term by 2 and then subtracting 3 from the product. If the 4th term in the sequence is 19, which of the following numbers are in the sequence?
Indicate all such numbers.
Sequence A: 1, –3, 4, 1, –3, 4, 1, –3, 4, ...
In the sequence above, the first 3 terms repeat without end. What is the sum of the terms of the sequence from the 150th term to the 154th term?
A list of numbers could be summarized into $$S_{n}=n•(-1)^{n}$$ (n is a positive integer), and $$S_{1}=-1$$. What`s the sum of $$S_{1}$$, $$S_{2}$$, $$S_{3}$$, ......, $$S_{97}$$, $$S_{98}$$, $$S_{499}$$?
In a sequence, $$a_{1}=4$$, $$a_{2}=2$$. If for any n greater than 2, $$a_{n}=a_{n-1}+a_{n-2}$$, then how many terms in the first 60 terms are multiples of 3?
$$a_1, a_2, a_3,.................a_n,......$$

In the sequence shown, $$a_{1}=4$$, $$a_{2}=2$$, and for all integers n greater than 2, $$a_{n}$$ is equal to the sum of the squares of $$a_{n-1}$$ and $$a_{n-2}$$. How many of the first 60 terms of the sequence are multiples of 3?
Set S = {1, 4, 7, 10}
Set T = {2, 3, 5, 8, 13}
x is a number in set S, and y is a number in set T.
Quantity A: The number of different possible values of the product xy
Quantity B: 20
(51!-50!)÷(50!-49!)=?
Give your answer as a fraction.
The area of a square is 16. If its area increases by 6, then each of its side needs to be how much longer?

If ABCD is a square with area 625, and CEFD is a rhombus with area 500, then the area of the shaded region is?
Note: Figure not drawn to scale

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