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# If a is a positive integer, then the reciprocal of a could b

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Intern
Joined: 05 Oct 2017
Posts: 45
Concentration: Accounting, Social Entrepreneurship
If a is a positive integer, then the reciprocal of a could b  [#permalink]

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24 Jan 2019, 02:52
1
4
00:00

Difficulty:

45% (medium)

Question Stats:

58% (01:15) correct 42% (01:21) wrong based on 85 sessions

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If a is a positive integer, then the reciprocal of a could be

A) 25% less than a
B) 33.33% less than a
C) 50% less than a
D) 66.67% less than a
E) 75% less than a

Posted from my mobile device

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Joined: 09 Mar 2018
Posts: 996
Location: India
Re: If a is a positive integer, then the reciprocal of a could b  [#permalink]

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24 Jan 2019, 03:34
rashedBhai wrote:
If a is a positive integer, then the reciprocal of a could be

A) 25% less than a
B) 33.33% less than a
C) 50% less than a
D) 66.67% less than a
E) 75% less than a

I believe it will be further less than 75%

Try multiple values here

a = 100, 1/a = 0.01, Now this 0.01 is what % less than 100, this what has been asked to us.

a = 25, 1/25 = 0.04, Now this 0.04 is what % less than 100.
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Intern
Joined: 11 Oct 2018
Posts: 21
Location: Germany
Re: If a is a positive integer, then the reciprocal of a could b  [#permalink]

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08 Feb 2019, 10:48
rashedBhai wrote:
If a is a positive integer, then the reciprocal of a could be

A) 25% less than a
B) 33.33% less than a
C) 50% less than a
D) 66.67% less than a
E) 75% less than a

Posted from my mobile device

A)$$\frac{1}{a}=\frac{3}{4}a$$ -> $$a=\sqrt{\frac{4}{3}} =$$ NO integer

We see here that a is the root of the reciprocal of $$1 - given$$ % (in fraction)
B) $$a=\sqrt{\frac{3}{2}} =$$ NO integer
C) $$a=\sqrt{2} =$$ NO integer
D) $$a=\sqrt{3} =$$ NO integer
E) $$a=\sqrt{4} = 2 =$$ positive integer

Re: If a is a positive integer, then the reciprocal of a could b   [#permalink] 08 Feb 2019, 10:48
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