general math question ( 0/1 = ? 1/0 =?) : GMAT Quantitative Section
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# general math question ( 0/1 = ? 1/0 =?)

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general math question ( 0/1 = ? 1/0 =?) [#permalink]

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31 May 2012, 17:28
0/1 = 0 ??

1/0 = 1 ??

They are very basic math, but I am confused.
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Re: general math question ( 0/1 = ? 1/0 =?) [#permalink]

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31 May 2012, 20:27
eybrj2 wrote:
0/1 = 0 ??

1/0 = 1 ??

They are very basic math, but I am confused.

Hi,

1/0 is undefined.

Regards,

Shouvik.
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Shouvik
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Re: general math question ( 0/1 = ? 1/0 =?) [#permalink]

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31 May 2012, 20:40
hey...

0/1 = 0 ( 0 /any integer ) = 0

and 1/0 = Not defined.....
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Re: general math question ( 0/1 = ? 1/0 =?) [#permalink]

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01 Jun 2012, 04:29
Hi,

1/0, one can say it as undefined or infinity.

Why Undefined?
we know, 4/2 = 2 or 2 x 2 = 4
similarly, 1/0 = a (if some a actually existed)
then, 0 x a = 1 (but there can be no number that multiplied by 0 gives 1)
So, a is undefined.

Why infinity?
In calculus,
a/b (a $$\neq$$ 0)
as b tends to 0 (value of b gets smaller and smaller) a/b tends to +/- infinity.

That's just for understanding, but with respect to GMAT you only have to keep in mind the following example:
$$mn = n$$
we can not say m = 1 as this will happen only when n $$\neq$$ 0
so, either n = 0 or m = 1

Regards,
Re: general math question ( 0/1 = ? 1/0 =?)   [#permalink] 01 Jun 2012, 04:29
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