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What digit does d represent in the decimal 0.d64?

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Bunuel
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What digit does d represent in the decimal 0.d64? [#permalink] New post   01 Nov 2015, 09:17
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A
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E

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84% (01:28) correct 16% (01:30) wrong based on 140 sessions
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What digit does d represent in the decimal 0.d64?

(1) d < 5
(2) 0.d64 < 1/d

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E
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Skywalker18
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Re: What digit does d represent in the decimal 0.d64? [#permalink] New post   01 Nov 2015, 11:40
1. d< 5
d can take values 0 ,1,2,3,4
Not sufficient

2. 0.d64< 1/d

.164<1
.264< 1/2

d can take values 1 and 2 .
Not sufficient

Combining , we get
d can take values 1 and 2
Still not sufficient
E
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Re: What digit does d represent in the decimal 0.d64? [#permalink] New post   01 Nov 2015, 12:55
1 - d can be 0,1,2,3,4 - not sufficient.
2 - d can be either 1 or 2. 0 can't be since division by 0 -> results in BOom! :D

1+2 -> d can be either 1 or 2. not sufficient, and answer is E.
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Re: What digit does d represent in the decimal 0.d64? [#permalink] New post   19 Nov 2016, 00:32
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Nice one.
Here let x=0.d64
we need to get d
using the principle of digit constraints => d can take values out of only 10 different available values => {0,1,2,3...9}
Statement 1
Here d can be 0,1,2,3,4
hence not sufficient
Statement 2
Here d can be => 1 or 2
hence not sufficient
Combining the two statements
w can say that d can be 1 or 2
clearly we still don't have a unique value of d
Hence E
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Re: What digit does d represent in the decimal 0.d64? [#permalink] New post   15 Apr 2023, 22:19
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Re: What digit does d represent in the decimal 0.d64? [#permalink]
15 Apr 2023, 22:19
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