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Manager  P
Joined: 07 Apr 2018
Posts: 99
If z < 1 what is the tenths digit of z?  [#permalink]

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6 00:00

Difficulty:   95% (hard)

Question Stats: 26% (01:19) correct 74% (01:41) wrong based on 66 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
Retired Moderator V
Joined: 27 Oct 2017
Posts: 1808
WE: General Management (Education)
Re: If z < 1 what is the tenths digit of z?  [#permalink]

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1
(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.

_________________
Retired Moderator V
Joined: 27 Oct 2017
Posts: 1808
WE: General Management (Education)
Place value of digits in a number  [#permalink]

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1
This is a very good question to test your understanding of the place value of digits.
Attachment: gmatbusters3.jpg [ 27.32 KiB | Viewed 753 times ]

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Intern  B
Joined: 24 Feb 2019
Posts: 9
Location: India
Schools: ISB '21 (II)
GMAT 1: 680 Q47 V35
Re: If z < 1 what is the tenths digit of z?  [#permalink]

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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.

Nicely explained Re: If z < 1 what is the tenths digit of z?   [#permalink] 08 Aug 2019, 09:32

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