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Mini quiz answers (part I)

Last updated: 23 Nov 2008

#	Question	Data statement	Is the data sufficient?
1	What percentage of $mathematical expression$ is $mathematical expression$ ?	$mathematical expression$	Yes. This gives you the ratio between $mathematical expression$ and $mathematical expression$ so you can work out what percentage of $mathematical expression$ is $mathematical expression$ .
2	Is $mathematical expression$ an integer?	$mathematical expression$ is an even number	No. $mathematical expression$ being an even number tells you nothing about $mathematical expression$
3	Is $mathematical expression$ an even number?	$mathematical expression$ is even	Yes. An even times an even is even BUT an odd times and odd is odd, so if $mathematical expression$ is even then $mathematical expression$ must be even. See the properties of numbers tutorial for more detail.
4	What is the value of $mathematical expression$	$mathematical expression$	No. This tells you nothing about a which could be any number so you cannot tell the value of $mathematical expression$
5	Is $mathematical expression$ an odd number?	$mathematical expression$ is an even number	No. $mathematical expression$ is even just tells you that $mathematical expression$ is an integer, but it could still be odd or even.

#	Question	Data statement	Is the data sufficient?
1	What percentage of $mathematical expression$ is $mathematical expression$ ?	$mathematical expression$	No. This tells you nothing about the ratio between $mathematical expression$ and $mathematical expression$ . For example $mathematical expression$ could be 1 and $mathematical expression$ could be 4 which would give you one percentage but equally $mathematical expression$ could be 97 and $mathematical expression$ 100 which would give a totally different percentage.
2	Is $mathematical expression$ an integer?	$mathematical expression$ is a multiple of $mathematical expression$	Yes. If $mathematical expression$ is a multiple of $mathematical expression$ then it must be divisible by $mathematical expression$ and $mathematical expression$ will be an integer.
3	Is $mathematical expression$ an even number?	$mathematical expression$ is odd	Yes. If $mathematical expression$ is odd then $mathematical expression$ must be even.
4	What is the value of $mathematical expression$	$mathematical expression$	No. Knowing the value of $mathematical expression$ does not enable you to work out $mathematical expression$ .
5	Is $mathematical expression$ an odd number?	$mathematical expression$ is divisible by 3	No. $mathematical expression$ could still be odd or even. For example $mathematical expression$ could be 9 which is odd and divisible by 3 but it could also be 6 which is even and divisible by 3.

Now to answer the questions.

Comments (4):

the last question on the previous page is; "y/3 is an odd number" not y is divisible by 3!

so in that case y has to be odd? plz clarify
thankyou

Anonymous on 27 Sep 2007 (permalink)
It should have read 'y is divisible by 3' like it does on this page. I have corrected it now.

Thanks for pointing this out.

joel on 27 Sep 2007 (permalink)
Q: Is $mathematical expression$ an even number?

$mathematical expression$ is odd Yes.

If x + 1 is odd then x must be even.

In this questions can't X = 0. If so you can have two choices undefined or odd therefore the info given is not sufficient to answer the questions "is x an even number?"

Thank you in advance.

LK5248 on 16 Aug 2008 (permalink)
LK5248, zero is an even number so the information given is sufficient, see odd and even numbers for more details.

joel on 18 Aug 2008 (permalink)

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