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# For all numbers n, n* = 32 - n

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For all numbers n, n* = 32 - n [#permalink]  10 Jun 2018, 09:00
Expert's post
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Question Stats:

70% (00:28) correct 29% (00:38) wrong based on 95 sessions
For all numbers $$n$$, $$n^* = 32 - n$$.

 Quantity A Quantity B $$(n^*)^*$$ $$n$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: For all numbers n, n* = 32 - n [#permalink]  11 Jun 2018, 03:49
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Carcass wrote:
For all numbers $$n$$, $$n* = 32 - n$$.

 Quantity A Quantity B $$(n*)^*$$ $$n$$

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Given $$n$$, $$n* = 32 - n$$

Column A n^*= 32 - n .

When (n^*)^* = 32 ( 32 - n ) => n .

Column B and A values are same.

C.
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Re: For all numbers n, n* = 32 - n [#permalink]  13 Jun 2018, 18:24
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n* = 32 - n
--> Quantity A = (n*)* =(32-n)* = 32 - (32-n) = n = Quantity B

Key: C
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Re: For all numbers n, n* = 32 - n [#permalink]  13 Jun 2018, 20:25
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n* = 32-n for all numbers n.
A: (n*)* = (32-n)* = 32 - (32-n) = n
B: n
Thus, A and B are equal and the answer is C.

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Manager
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Re: For all numbers n, n* = 32 - n [#permalink]  20 Jun 2018, 09:22
so '*' here means '32 -' ? I found this kinda confusing
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Re: For all numbers n, n* = 32 - n [#permalink]  20 Jun 2018, 14:59
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Expert's post
kruttikaaggarwal wrote:
so '*' here means '32 -' ? I found this kinda confusing

This is known as a Strange Operator question (see video below)

For this question, the asterisk symbol (*) tells us to take whatever number is next to it and subtract it from 32.
That is, *n = 32 - n

So, for example, *10 = 32 - 10 = 22
And *15 = 32 - 15 = 17
And *100 = 32 - 100 = -68

------NOW ONTO THE QUESTION------------

Quantity A: (n*)*
Quantity B: n

Let's simplify (n*)*
First off, n* = 32 - n
So, (n*)* = (32 - n)*

Now let's simplify (32 - n)*
(32 - n)* = 32 - (32 - n)
= n

So, we have:
Quantity A: n
Quantity B: n

RELATED VIDEO

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GRE Instructor
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Re: For all numbers n, n* = 32 - n [#permalink]  20 Jun 2018, 15:03
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Expert's post
A few more Strange Operator questions to practice with:
- https://greprepclub.com/forum/for-all-i ... -5221.html
- https://greprepclub.com/forum/qotd-4-if ... -2328.html
- https://greprepclub.com/forum/the-opera ... -1884.html

Cheers,
Brent
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If you enjoy my solutions, you'll like my GRE prep course.

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Re: For all numbers n, n* = 32 - n [#permalink]  08 Jun 2019, 10:11
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Please update the picture. Since, intially it is showing product of n and * and not>>> (n*).
Thankyou.
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Re: For all numbers n, n* = 32 - n [#permalink]  08 Jun 2019, 11:03
Expert's post
Updated.

Thank you
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Re: For all numbers n, n* = 32 - n   [#permalink] 08 Jun 2019, 11:03
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