Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Sep 2601:00 PM EDT
-04:00 PM EDT
Top scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included. Class starts Saturdays Sept. 26, 2026 - Dec. 19, 2026, 1:00pm-4:00pm ES
Sep 2911:00 AM EDT
-01:00 PM EDT
" Description: Top scores are possible when you enroll in a powerful GMAT course, taught live online + 6 months access to TTP OnDemand video courses included! Class starts Tues/Thur Sept. 29, 2026 - Dec. 3, 2026, 11:00am-1:00pm EST
Oct 0107:00 AM BST
-08:00 AM GMT
Welcome to the GMAT Club's Free Interview Prep Event for Top MBA Programs! Buy tickets - Virtual series that’s all set to equip you to -excel in your MBA interviews.
26 Nov 2021, 01:41
Kudos
Bookmarks
If a three-digit positive integer has its digits reversed, the resulting three-digit positive integer is less than the original integer by 297. How many such pairs are possible?
A. \(3\)
B. \(6\)
C. \(7\)
D. \(60\)
E. \(70\)
A. \(3\)
B. \(6\)
C. \(7\)
D. \(60\)
E. \(70\)
26 Nov 2021, 01:41
Kudos
Bookmarks
Official Solution:
If a three-digit positive integer has its digits reversed, the resulting three-digit positive integer is less than the original integer by 297. How many such pairs are possible?
A. \(3\)
B. \(6\)
C. \(7\)
D. \(60\)
E. \(70\)
Say the original three-digit number is \(abc\) and the reversed number is \(cba\).
Given: \(abc-cba=297\);
\((100a + 10b + c ) - (100c + 10b + a) = 297\);
\(a-c=3\).
\((a, c)\) can be (9, 6), (8, 5), (7, 4), (6, 3), (5, 2), and (4, 1) (6 pairs). Notice that (3, 0) pair is not possible: \(c\) cannot be 0 because in this case \(cba\) would be a two-digit number, not a three-digit number as given in the stem.
Finally, don't forget about \(b\). It can take 10 values: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
So, there are a total of \(6*10=60\) numbers are possible.
Answer: D
If a three-digit positive integer has its digits reversed, the resulting three-digit positive integer is less than the original integer by 297. How many such pairs are possible?
A. \(3\)
B. \(6\)
C. \(7\)
D. \(60\)
E. \(70\)
Say the original three-digit number is \(abc\) and the reversed number is \(cba\).
Given: \(abc-cba=297\);
\((100a + 10b + c ) - (100c + 10b + a) = 297\);
\(a-c=3\).
\((a, c)\) can be (9, 6), (8, 5), (7, 4), (6, 3), (5, 2), and (4, 1) (6 pairs). Notice that (3, 0) pair is not possible: \(c\) cannot be 0 because in this case \(cba\) would be a two-digit number, not a three-digit number as given in the stem.
Finally, don't forget about \(b\). It can take 10 values: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
So, there are a total of \(6*10=60\) numbers are possible.
Answer: D
