. How many integers between 324,700 and 458,600 have tens digit 1 and units digit 3?
(A) 10,300
(B) 10,030
(C) 1,353
(D) 1,352
(E) 1,339
Hi,
Can anyone help pls..?
5-Day Free Trial
5-day free, full-access trial TTP
Available with Beat the GMAT members only code
MORE DETAILS
test35 # 15
This topic has expert replies
-
Prasanna
- Master | Next Rank: 500 Posts
- Posts: 418
- Joined: Mon Feb 26, 2007 6:41 pm
- Thanked: 24 times
The question is asking us to determine how many numbers such as 324713,324813, 324913 .....are there between 324,700 and 458,600.
For every hundered there is a 13(a integer with 1 in tens digit and 3 in units digit). Between 324,700 and 458,600, there are 1339 hunderds. (458600-324700=133900). Hence the answer would be (E).
For every hundered there is a 13(a integer with 1 in tens digit and 3 in units digit). Between 324,700 and 458,600, there are 1339 hunderds. (458600-324700=133900). Hence the answer would be (E).
-
Cybermusings
- Legendary Member
- Posts: 559
- Joined: Tue Mar 27, 2007 1:29 am
- Thanked: 5 times
- Followed by:2 members
GMAT/MBA Expert
-
Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7245
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
The first few integers that have this property are: 324,713, 324,813, 324,913, .... As we can see, this is an arithmetic sequence with common difference of 100. Since the last integer that has this property is 458,513, the number of integers that have this property is:dunkin77 wrote:. How many integers between 324,700 and 458,600 have tens digit 1 and units digit 3?
(A) 10,300
(B) 10,030
(C) 1,353
(D) 1,352
(E) 1,339
(458,513 - 324,713)/100 + 1 = 133,800/100 + 1 = 1,338 + 1 = 1,339
Answer: E
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
GMAT/MBA Expert
-
Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
We want to determine how many integers end in 13dunkin77 wrote:. How many integers between 324,700 and 458,600 have tens digit 1 and units digit 3?
(A) 10,300
(B) 10,030
(C) 1,353
(D) 1,352
(E) 1,339
Hi,
Can anyone help pls..?
For example, 324713, 324813, 324913, 325013, . . . etc.
Recognize that, for every 100 consecutive integers, only 1 will end in 13.
There are 133,900 integers between 324,700 and 458,600 (since 458,600 - 324,700 = 133,900)
Of those 133,900 integers, 1/100 of them end in 13.
1/10 of 133,900 = 1339, so the correct answer is E
Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
