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# Is the tens digit of p equal to 6? (1) p/10^4 has a thousandths digi

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Manager
Joined: 02 Jun 2015
Posts: 189
Location: Ghana
Is the tens digit of p equal to 6? (1) p/10^4 has a thousandths digi [#permalink]

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23 Sep 2016, 10:08
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Question Stats:

50% (01:23) correct 50% (01:00) wrong based on 68 sessions

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Is the tens digit of p equal to 6?

(1) p/10^4 has a thousandths digit of 6.
(2) 0.1p has a hundreds digit of 6.
[Reveal] Spoiler: OA

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Joined: 02 Aug 2009
Posts: 5776
Re: Is the tens digit of p equal to 6? (1) p/10^4 has a thousandths digi [#permalink]

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23 Sep 2016, 10:36
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duahsolo wrote:
Is the tens digit of p equal to 6?

(1) p/10^4 has a thousandths digit of 6.
(2) 0.1p has a hundreds digit of 6.

Hi,
Let p be abcde...

1) statement I tells us that p/10^4 or abcde/10^4 has thousandths digit is 6....
Which is a.bcde ...... so here thousandths digit is d....
But in abcde d is the tens digit, so tens digit of p is 6..
Suff...

2) statement II tells us that hundreds digit of 0.1p or 0.1*abcde or abcd.e is 6..
Here hundreds digit is b so b is 6..
But we are looking for value of 'd'..
Insuff

A
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Is the tens digit of p equal to 6? (1) p/10^4 has a thousandths digi [#permalink]

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29 Sep 2016, 03:48
duahsolo wrote:
Is the tens digit of p equal to 6?

(1) p/10^4 has a thousandths digit of 6.
(2) 0.1p has a hundreds digit of 6.

if p is ( xxx6x )

(1) if $$p/10^4 = x.xx6x$$ ====> $$x.xx6x*10^4=p$$ $$= xxx6x$$ ======> sufficient

(2) if $$0.1*p=x.x6xx$$====> $$x.x6xx*10=p= x.6xx$$ ====> insufficient

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Re: Is the tens digit of p equal to 6? (1) p/10^4 has a thousandths digi [#permalink]

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23 Feb 2017, 05:58
Prompt analysis
P is a real number

Superset
The answer will be either yes or no.

Translation
In order to find it,we need:
1# exact value of n
2# any equation that can lead us to find n

Statement analysis

St 1: let the number be uvwxyz where each alphabet is a single digit number.p/10^4 will be like uv.wxyz. The hundredth digit which is z is 6. Hence unit digit of p is 6. ANSWER

St 2: 0.1p = uvwxy.z. W =6. But we don't have any idea about z. INSUFFICIENT

Option A.
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Re: Is the tens digit of p equal to 6? (1) p/10^4 has a thousandths digi [#permalink]

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12 Dec 2017, 17:34
duahsolo wrote:
Is the tens digit of p equal to 6?

(1) p/10^4 has a thousandths digit of 6.
(2) 0.1p has a hundreds digit of 6.

We can let our number be ABCD, in which A is the thousands digit, B is the hundreds digit, C is the tens digit, and D is the units digit. We need to determine the value of C.

Statement One Alone:

p/10000 has a thousandths digit of 6.

ABCD/10,000 = 0.ABCD, and since 0.ABCD has a thousandths digit of 6, C = 6. Statement one alone is sufficient to answer the question.

Statement Two Alone:

0.1p has a hundreds digit of 6

0.1 x ABCD = ABC.D, and ABC.D has a hundreds digit of 6. Thus, A = 6. However, since we do not have a value for C, statement two alone is not sufficient.

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Re: Is the tens digit of p equal to 6? (1) p/10^4 has a thousandths digi   [#permalink] 12 Dec 2017, 17:34
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