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If z < 1 what is the tenths digit of z?

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If z < 1 what is the tenths digit of z?  [#permalink]

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New post 06 May 2018, 06:33
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26% (01:21) correct 74% (01:41) wrong based on 61 sessions

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If z < 1 what is the tenths digit of z?

(1) The tens digit of 100z is 0

(2) z < 1/11

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Re: If z < 1 what is the tenths digit of z?  [#permalink]

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New post 06 May 2018, 06:43
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(1) The tens digit of 100z is 0
z = abc.def...
we have to find value of digit d
Now 100z = abcde.f...
if we observe carefully the tens digit of 100z is same as tenths digit of z.
So As tens digit of 100z is 0, this means d= 0. hence tenths digit of z is 0.
SUFFICIENT.

(2) z < 1/11
z<0.090909...
we tend to think than any smaller number has tenths digit = 0,
but DON'T forget to consider negative number also.
z can be 0.9 or -0.1, -2 etc.
hence the tenths digit cannot be found uniquely.
It is INSUFFICIENT.

Answer A
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Place value of digits in a number  [#permalink]

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New post 06 May 2018, 08:15
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Re: If z < 1 what is the tenths digit of z?  [#permalink]

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New post 08 Aug 2019, 10:32
gmatbusters wrote:
(1) The tens digit of 100z is 0
z = abc.def...
we have to find value of digit d
Now 100z = abcde.f...
if we observe carefully the tens digit of 100z is same as tenths digit of z.
So As tens digit of 100z is 0, this means d= 0. hence tenths digit of z is 0.
SUFFICIENT.

(2) z < 1/11
z<0.090909...
we tend to think than any smaller number has tenths digit = 0,
but DON'T forget to consider negative number also.
z can be 0.9 or -0.1, -2 etc.
hence the tenths digit cannot be found uniquely.
It is INSUFFICIENT.

Answer A

Nicely explained
GMAT Club Bot
Re: If z < 1 what is the tenths digit of z?   [#permalink] 08 Aug 2019, 10:32
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