Question 900647
# 1


Factors of 18: 1, 2, 3, 6, 9, 18


Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24



Highlighting the factors in common


Factors of 18: <font color="blue">1, 2, 3, 6</font>, 9, 18


Factors of 24: <font color="blue">1, 2, 3</font>, 4, <font color="blue">6</font>, 8, 12, 24



The two numbers have <font color="red">4</font> factors in common. So the answer is <font color="red">choice c) 4</font>.

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# 2


Add up the digits: 369 ---> 3+6+9 = 9+9 = 18


18 is a multiple of 9, so 369 is also a multiple of 9


That means 369/9 has a remainder of 0.


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8181 ----> 8+1+8+1 = 9+9 = 18


So 8181/9 has a remainder of 0.


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10919 ----> 1+0+9+1+9 = 20


20/9 has a remainder that is nonzero (turns out it is 20-18 = 2)


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84843 ----> 8+4+8+4+3 = 27


27/9 has a remainder of 0.


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Final Answer: <font color="red">choice D) 10919</font>

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# 3


Consecutive odd integers are integers like: 11, 13, 15


They are odd and they are the closest to one another possible and follow in sequence.


We'll cycle through a list of possible choices until we get to the answer



Consecutive Odd Integers: 1, 3, 5
1/5 = 0 remainder 1
3/5 = 0 remainder 3
5/5 = 1 remainder 0
So we get the remainders 1, 3, 0
This choice isn't listed, so we move on.

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Consecutive Odd Integers: 3, 5, 7
3/5 = 0 remainder 3
5/5 = 1 remainder 0
7/5 = 1 remainder 2
So we get the remainders 3, 0, 2
This choice isn't listed, so we move on.

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Consecutive Odd Integers: 5, 7, 9
5/5 = 1 remainder 0
7/5 = 1 remainder 2
9/5 = 1 remainder 4
So we get the remainders 0, 2, 4
This choice isn't listed, so we move on.

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Consecutive Odd Integers: 7, 9, 11
7/5 = 1 remainder 2
9/5 = 1 remainder 4
11/5 = 2 remainder 1
So we get the remainders 2, 4, 1
This choice isn't listed, so we move on.

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Consecutive Odd Integers: 9, 11, 13
9/5 = 1 remainder 4
11/5 = 2 remainder 1
13/5 = 2 remainder 3
So we get the remainders 4, 1, 3
This is listed as an answer choice, which is choice A



The final answer is <font color="red">choice A) 4, 1, 3</font>