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a is a positive integer.

x is the remainder when 15a is divided by 6

Quantity A

x

Quantity B

2


n is a positive integer

Quantity A

The remainder when ($$n^{2}$$+3n+2) is divided by 6

Quantity B

2


The remainder is 1 when positive integer n is divided by 3

Quantity A

The remainder when n is divided by 5

Quantity B

2


If a class of P.E students are grouped into 6-person teams, then 2 students will be left. However, if all the students are grouped into 9-person teams, then how many students could be left?

Indicate all such numbers.

Quantity A

The remainder when 11,999,999 is divided by 12

Quantity B

11




What`s the units digit of ($$2^{19}$$ -32)?

Quantity A

The units digit of $$9^{84}$$

Quantity B

1


What is the units digit of $$505^{2}$$*$$327^{3}$$?
What`s the units digit of the positive difference between $$32^{19}$$ and 32?
The units digit of $$7^{34}$$ is x, and the units digit of $$6^{34}$$ is y. What is the value of the product xy?

Quantity A

The absolute value of units digit of $$7^{n}$$-$$3^{n}$$

Quantity B

3


k is a positive integer

Quantity A

The units digit of $$149^{2k}$$

Quantity B

The units digit of $$143^{2k}$$


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 $$2007^{2007}$$?
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


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