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n is a number from 21 to 29, inclusive. The units digit of n squared is 9.

Quantity A

The tens digit of n squared

Quantity B

6


R=$$3^{7}$$ $$5^{11}$$ $$7^{15}$$

W=$$2^{3}$$ $$5^{15}$$ $$7^{19}$$

What is the units digit of R-W?
What is the tens digit of $$21^{(3^{50})}$$?

Quantity A

The tens digit of

($$4^{100}$$)($$5^{99}$$)

Quantity B

The tens digit of

($$4^{100}$$)($$5^{101}$$)






What is the tens digit of the number $$2007^{2007}$$?
What's the remainder when $$3^{73}$$ is divided by 5?
What is the remainder when ($$3^{23}$$-23) is divided by 10?
k is an integer greater than 2. The remainder when $$3^{k}$$ is divided by 13 is equal to r.

Quantity A

The remainder when 9 is divided by r

Quantity B

3


Quantity A

The remainder when ($$123^{4}$$-$$123^{3}$$+$$123^{2}$$-123) is divided by 122

Quantity B

2


X=$$233^{4}$$-$$233^{3}$$+$$233^{2}$$-233

What is the remainder when X is divided by 232?
X=$$123^{4}$$-$$123^{3}$$-$$123^{2}$$-123

What is the remainder when X is divided by 122?
What is the remainder when $$132^{5} - 2(132^{4}) + 6(132^{3} )- 3(132)$$ is divided by $$65$$?

Quantity A

The remainder when the difference of $$3191^{2020}$$ and $$3159^{2020}$$ is divided by 16

Quantity B

1


How many positive three-digit integers with an odd hundreds digit are multiples of 5?
When 2($$10^{100}$$)+1 is divided by 3, the remainder is r.

Quantity A

r

Quantity B

1


If $$p$$ is an prime number greater than 5, and if 5 is a factor of $$p+p^{2}$$,which of the following might be the remainder when $$p$$ is divided by 5?

Indicate all such numbers.
How many integers between 100 and 1000 have a tens digit equal to 9 and are multiples of 4?
When the positive integer n is divided by 4, the remainder is 3; when n is divided by 3, the remainder is 2.

Quantity A

The least possible value of n

Quantity B

12


Condition 1: n is a positive integer that is less than100

Condition 2: When n is divided by 5, the remainder is 3

Condition 3: When n is divided by 6, the remainder is 2

Quantity A

The number of values of n that satisfy the three conditions

Quantity B

4


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

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