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In a group of 50 students, 20 students join club A. Which of the following statements individually can determine the number of students who do not join club A but join club B?
Indicate all such statements.
In a class, 40 students speak Spanish, while 30 students speak French. If half of students who speak Spanish do not speak French, how many students can only speak French?
80% of all polygons are hexagon, and 20% of these hexagons are regular hexagons.

Quantity A

The percent of polygons that are neither hexagons nor regular polygons

Quantity B

16%


Among 60 students, 30 selected Course A, 50 selected Course B. What`s the greatest possible number of students who selected both courses?
500 respondents are asked two questions each and could answer only yes and no. 440 respondents said yes to the first question. 220 respondents said yes to the second question. At least how many respondents said yes to both questions?
Brad and Paula were each given a copy of the same list of 20 songs, and they were asked to mark the songs that they liked. Brad marked 15 songs and Paula marked 12 songs. Which of the following CANNOT be the number of songs that they both marked?
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 value of 6+12+18+24+-+294+300, where each term is a multiple of 6?
The number of bacteria in culture A doubles every 2 hours, and the number of bacteria in culture B increases by 50 percent every hour. At 8:00 in the morning the number of bacteria in each of the two cultures is 5,000..

Quantity A

The number of bacteria in culture A at 2:00 that afternoon

Quantity B

The number of bacteria in culture B at 2:00 that afternoon


In a sequence, $$r_{1}=1$$, $$r_{n}=(\frac{1}{5})*r_{n-1}$$ , where n is any integer greater than 1.

Quantity A

$$r_{5}$$

Quantity B

$$625*r_{10}$$


In a sequence, $$a_{1}=2$$, $$a_{2}=4$$, $$a_{3}=14$$, $$a_{4}=64$$, $$a_{n}= d*a_{n-1}-c$$ What is the value of c+d?
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?
In a sequence, $$S_{1}$$=1, for any integer n greater than 1, $$S_{n}=6nS_{1}$$, what is the value of $$S_{1}+ S_{2}$$ + ...+ 300?
$$a_{1}=6$$
$$a_{n}=a_{n-1}+2$$, where n is an even integer
$$a_{n}=a_{n-1}-8$$, where n is an odd integer

Quantity A

$$a_{7}$$

Quantity B

-12


Quantity A: 4!
Quantity B: 5!-4!
n and k are integers, n > k > 1

Quantity A

n!-k!

Quantity B

(n-k)!




How many positive divisors of 210 are product of two primes?
Six identical balls need to be put into four different bottles. If at least one ball should be included in each bottle, then how many ways can these balls be arranged?
What is the probability that a number whose tens digit is no more than 3 and units digit is no more than 4 is selected when selecting a number from 100 to 159 (inclusive)?
Give your answer as a fraction.
What is the probability that A and B are both selected when you randomly select 40 people out of a pool of 100 people (A and B included)?
Give your answer as a fraction.

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