## Consider two integers: an original two digits integer and

##### This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 31
Joined: 23 Oct 2013
Thanked: 2 times
Followed by:1 members
GMAT Score:750

### Consider two integers: an original two digits integer and

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

00:00

A

B

C

D

E

## Global Stats

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.

### GMAT/MBA Expert

GMAT Instructor
Posts: 15948
Joined: 08 Dec 2008
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1267 members
GMAT Score:770
by [email protected] » 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

Senior | Next Rank: 100 Posts
Posts: 31
Joined: 23 Oct 2013
Thanked: 2 times
Followed by:1 members
GMAT Score:750
by mensanumber » Tue Apr 17, 2018 1:31 pm
[email protected] 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.

### GMAT/MBA Expert

GMAT Instructor
Posts: 1460
Joined: 09 Apr 2015
Location: New York, NY
Thanked: 39 times
Followed by:21 members
by [email protected] » 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.