Consider two integers: an original two digits integer and

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mensanumber: Senior | Next Rank: 100 Posts; Posts: 31; Joined: Wed Oct 23, 2013 6:43 amFollowed by: 1 member; Thanked: 2 times; GMAT Score:750

by mensanumber » Tue Apr 17, 2018 4:44 am

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Consider two integers: an original two digits integer and the integer formed by reversing the digits of this original integer. If the bigger of these two integers is divided by the other integer, what could be the maximum remainder?
1) 9
2)27
3)36
4)45
5) 54

Last edited by mensanumber on Tue Apr 17, 2018 1:29 pm, edited 1 time in total.

Source: Beat The GMAT — Problem Solving | Tue Apr 17, 2018 4:44 am

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Brent@GMATPrepNow: GMAT Instructor; Posts: 16206; Joined: Mon Dec 08, 2008 6:26 pmFollowed by: 1268 members; Location: Vancouver, BC; Thanked: 5254 times; GMAT Score:770

by Brent@GMATPrepNow » Tue Apr 17, 2018 5:51 am

mensanumber wrote:If a two digit integer is divided by an integer formed by reversing its digits, what could be the maximum remainder?
1) 9
2)27
3)36
4)45
5) 54

How about 89 divided by 98?
89 divided by 98 equals 0 with remainder 89
I don't see 89 as an answer choice.
Am I missing something?

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

mensanumber: Senior | Next Rank: 100 Posts; Posts: 31; Joined: Wed Oct 23, 2013 6:43 amFollowed by: 1 member; Thanked: 2 times; GMAT Score:750

by mensanumber » Tue Apr 17, 2018 1:31 pm

Brent@GMATPrepNow wrote:
mensanumber wrote:If a two digit integer is divided by an integer formed by reversing its digits, what could be the maximum remainder?
1) 9
2)27
3)36
4)45
5) 54
How about 89 divided by 98?
89 divided by 98 equals 0 with remainder 89
I don't see 89 as an answer choice.
Am I missing something?

Cheers,
Brent

Sorry, just edited my question.

Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

by Jeff@TargetTestPrep » Thu Apr 19, 2018 4:37 pm

mensanumber wrote:Consider two integers: an original two digits integer and the integer formed by reversing the digits of this original integer. If the bigger of these two integers is divided by the other integer, what could be the maximum remainder?
1) 9
2)27
3)36
4)45
5) 54

The largest possible remainder is when we divide 94/49 = 1 remainder 45.

Answer: D

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