GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 24 May 2019, 14:40

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

If t is a positive integer, can t^2 + 1 be evenly divided by 10?

Author Message
Senior Manager
Joined: 17 Oct 2016
Posts: 260
Location: India
Concentration: General Management, Healthcare
GMAT 1: 640 Q40 V38
GMAT 2: 680 Q48 V35
GPA: 3.05
WE: Pharmaceuticals (Health Care)
If t is a positive integer, can t^2 + 1 be evenly divided by 10?  [#permalink]

Show Tags

12 Aug 2017, 03:30
00:00

Difficulty:

65% (hard)

Question Stats:

53% (00:48) correct 47% (01:06) wrong based on 19 sessions

HideShow timer Statistics

If t is a positive integer, can t^2 + 1 be evenly divided by 10?

(1) 91^6 × t leaves a remainder of 1 when divided by 2

(2) 91^6 × t leaves a remainder of 2 when divided by 5

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
_____________________
Chasing the dragon
Senior Manager
Joined: 06 Jul 2016
Posts: 363
Location: Singapore
Concentration: Strategy, Finance
Re: If t is a positive integer, can t^2 + 1 be evenly divided by 10?  [#permalink]

Show Tags

12 Aug 2017, 04:22
fitzpratik wrote:
If t is a positive integer, can t^2 + 1 be evenly divided by 10?

t>0
$$t^2$$ + 1 = 10m ?

Quote:
(1) 91^6 × t leaves a remainder of 1 when divided by 2
(2) 91^6 × t leaves a remainder of 2 when divided by 5

1) $$91^6$$*t = 2Q + 1
=> t = odd
=> t = 1, 3, 5, 7, 9
Insufficient.

2) $$91^6$$*t = 5P + 2
=> t = 2 or 7
Insufficient.

1+2)
t = 7
=> $$t^2$$ + 1 = 50 = 10*5
=> Sufficient.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
Put in the work, and that dream score is yours!
Re: If t is a positive integer, can t^2 + 1 be evenly divided by 10?   [#permalink] 12 Aug 2017, 04:22
Display posts from previous: Sort by