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题目内容
If n=$$k^{2}pr^{3}$$, where k, p, and r are different prime numbers, what is the least possible value of n?
x > y

x and y are prime numbers and x+y=16

Quantity A

x-y

Quantity B

8
x and y are prime numbers

x+y is odd

x < y

Quantity A

x

Quantity B

3
The integer k is the product of four different prime numbers. If the result when k is divided by 10 is a multiple of 11, which of the following could be the result when k divided by 5?
Among all the prime numbers within 15

Quantity A

The product of them all

Quantity B

The greatest prime number to the power of 5
The number of children in a certain family is a prime number less than 10. The number of boys in the family is greater than the number of girls, and the number of boys is a prime number. If at least 1 of the children in the family is a girl, which of the following could be the number of boys in the family?

Indicate all such numbers.
Two different prime numbers are greater than 2 and less than 50. If the product of them is less than 100, then how many combinations of them will there be?
$$0 \lt P \times Q \lt 100$$, $$P$$ and $$Q$$ are both prime numbers, and $$P \lt Q$$, how many combinations of $$P$$ and $$Q$$ are there?
How many positive integers no greater than 20 can be expressed as the sum of two different prime numbers?
1575=$$3^{x}$$*$$5^{y}$$*$$7^{z}$$，What's the value of $$x+y+z$$？

Quantity A

The number of different prime factors of 12

Quantity B

The number of different prime factors of 9

Quantity A

The number of prime factors of 27

Quantity B

The number of prime factors of 18
$$m$$ is an odd integer greater than $$1$$.

Quantity A

The greatest prime factor of $$2m$$

Quantity B

The greatest prime factor of $$m^{2}$$
k and n are consecutive positive odd integers.

Quantity A

The least common multiple of k and n

Quantity B

kn
If $$a$$, $$b$$, and $$c$$ are positive integers such that $$\frac{a}{c}=0.075$$, and $$\frac{b}{c}=0.09$$, What is the least possible value of $$c$$?
$$y=105n$$ ($$n$$ is a positive integer)

$$y$$ is both the square of an integer, and a multiple of $$30$$

What is the least possible value of $$n$$?
N is an integer between 10 and 100. When N is divided by 4, 6, and 7, the remainder is 2.

Quantity A

The remainder when N is divided by 11

Quantity B

9
How many positive two-digit integers have a remainder of 3 when divided by both 10 and 6?
If $$a$$, $$b$$ and $$c$$ are integers such that $$0 \lt a \lt b \lt c \lt 2a$$, what is the greatest common factor of $$84^{a}$$, $$126^{b}$$, and $$98^{c}$$?
When $$r$$ percent is expressed as a fraction and the fraction is reduced to lowest terms, the result is $$\frac{n}{20}$$, where $$n$$ is an integer. Which of the following could be the value of $$r$$?

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