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Math Expert V
Joined: 02 Sep 2009
Posts: 64099
If K is a positive integer, what is the units digit of K?  [#permalink]

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Difficulty:   55% (hard)

Question Stats: 59% (01:26) correct 41% (01:19) wrong based on 90 sessions

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If K is a positive integer, what is the units digit of K?

(1) The units digit of 2K is 6.
(2) The hundreds digit of 100K is 8.

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Current Student P
Joined: 07 Jan 2016
Posts: 1082
Location: India
GMAT 1: 710 Q49 V36
If K is a positive integer, what is the units digit of K?  [#permalink]

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Bunuel wrote:
If K is a positive integer, what is the units digit of K?

(1) The units digit of 2K is 6.
(2) The hundreds digit of 100K is 8.

1) unit digit of 2k is 6

k can have a unit digit of 3 or 8

2)

hundreds digits of 100k is 8
k can be 8
if k is 28
100k = 2800 hundreds digit is 8

if k is a 3 digit number 108

100k=10800
if k is 1008
100800

k has to have unti digit 8
(B) imo
Senior PS Moderator D
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
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GMAT 1: 740 Q50 V40 GMAT 2: 770 Q51 V42 Re: If K is a positive integer, what is the units digit of K?  [#permalink]

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Hatakekakashi wrote:
Bunuel wrote:
If K is a positive integer, what is the units digit of K?

(1) The units digit of 2K is 6.
(2) The hundreds digit of 100K is 8.

1) unit digit of 2k is 6

k can have a unit digit of 3 or 8

2)

hundreds digits of 100k is 8
k can be 8
if k is 28
100k = 2800 hundreds digit is 0

if k is a 3 digit number 108

100k=10800

k has to be single digit 8
(B) imo

Hey Hatakekakashi, Option C you mean? _________________
Regards,

“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)
Current Student P
Joined: 07 Jan 2016
Posts: 1082
Location: India
GMAT 1: 710 Q49 V36
If K is a positive integer, what is the units digit of K?  [#permalink]

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Hey Hatakekakashi, Option C you mean? why c?

Senior PS Moderator D
Status: It always seems impossible until it's done.
Joined: 16 Sep 2016
Posts: 719
GMAT 1: 740 Q50 V40 GMAT 2: 770 Q51 V42 Re: If K is a positive integer, what is the units digit of K?  [#permalink]

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Hatakekakashi wrote:

Hey Hatakekakashi, Option C you mean? why c?

My Bad! B it is... I think I mixed up between units digit of k and 100k.

Best,
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Regards,

“Do. Or do not. There is no try.” - Yoda (The Empire Strikes Back)
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Re: If K is a positive integer, what is the units digit of K?  [#permalink]

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_________________ Re: If K is a positive integer, what is the units digit of K?   [#permalink] 29 Nov 2019, 02:59

# If K is a positive integer, what is the units digit of K?  