Mini quiz answers (part I)

Last updated: 3 Mar 2007

#	Question	Data statement	Is the data sufficient?
1	What percentage of R is S?	`R/S = 24/25`	Yes. This gives you the ratio between R and S so you can work out what percentage or R is S.
2	Is `m/n` an integer?	`m` is an even number	No. `m` being an even number tells you nothing about `m/n`
3	Is `x` an even number?	`x^2` is even	Yes. An even times an even is even BUT an odd times and odd is odd, so if `x^2` is even then x must be even. See the properties of numbers tutorial for more detail.
4	What is the value of a + b	b = 7	No. This tells you nothing about a which could be any number so you cannot tell the value of a + b
5	Is `y` an odd number?	`2y` is an even number	No. `2y` is even just tells you that 'y' is an integer, but it could still be odd or even.

#	Question	Data statement	Is the data sufficient?
1	What percentage of R is S?	`R + 3 = S`	No. This tells you nothing about the ratio between R and S. For example R could be 1 and S could be 4 which would give you one percentage but equally R could be 97 and S 100 which would give a totally different percentage.
2	Is `m/n` an integer?	`m` is a multiple of `n`	Yes. If `m` is a multiple of `n` then it must be divisible by `n` and `m/n` will be an integer.
3	Is `x` an even number?	`x + 1` is odd	Yes. If x + 1 is odd then x must be even.
4	What is the value of a + b	a - b = 12	No. Knowing the value of a - b does not enable you to work out a + b.
5	Is `y` an odd number?	`y` is divisible by 3	No. `y` could still be odd or even. For example `y` 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 `x` an even number?

`x + 1` 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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