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# What is the thousandths digit of the decimal d?

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Current Student
Joined: 12 Aug 2015
Posts: 2613
Schools: Boston U '20 (M)
GRE 1: Q169 V154
What is the thousandths digit of the decimal d?  [#permalink]

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19 Nov 2016, 01:12
2
00:00

Difficulty:

35% (medium)

Question Stats:

65% (01:00) correct 35% (01:34) wrong based on 99 sessions

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What is the thousandths digit of the decimal d?

(1) The tenths digit of 100*d is 7.
(2) The units digit of 1,000*d is 7.

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Joined: 28 Jun 2016
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Re: What is the thousandths digit of the decimal d?  [#permalink]

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19 Nov 2016, 12:44
stonecold wrote:
What is the thousandths digit of the decimal d?

(1) The tenths digit of 100*d is 7.
(2) The units digit of 1,000*d is 7.

Statement 1:

100d = xx.7xxx

Sufficient

Statement 2:

1000d = x7.xxxx

Same as statement 1.

Sufficient

D

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Re: What is the thousandths digit of the decimal d?  [#permalink]

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02 Jul 2017, 11:28
stonecold wrote:
What is the thousandths digit of the decimal d?

(1) The tenths digit of 100*d is 7.
(2) The units digit of 1,000*d is 7.

Statement 1:

If the tenths digit of 100*d is 7 the resulting number d would be something like xx.7xxx. This means if we do not multiply 100 to d the original number would be xx.xx7 (multiplying 100 to the original number shifts the number 7 two places to the right in the tenths place)
Hence this statement is sufficient.

Statement 2:

If the unitss digit of 1000*d is 7 the resulting number d would be something like x7.xxx. This means if we do not multiply 1000 to d the original number would be xx.xx7 (multiplying 1000 to the original number shifts the number 7 three places to the right in the units place)
Hence this statement is sufficient.

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Re: What is the thousandths digit of the decimal d?   [#permalink] 02 Jul 2017, 11:28
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