What is the sum of the integers from 1 to 999, inclusive?
A. 499000
B. 499500
C. 499999
D. 500500
E. 500999
OA B
Source: Veritas Prep
Target Test Prep is 20% off right now!
Use code FLASH20
Available with Beat the GMAT members only code
MORE DETAILS
What is the sum of the integers from 1 to 999, inclusive? A
This topic has expert replies
-
BTGmoderatorDC
- Moderator
- Posts: 7187
- Joined: Thu Sep 07, 2017 4:43 pm
- Followed by:23 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
-
GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
For any set of consecutive integers:BTGmoderatorDC wrote:What is the sum of the integers from 1 to 999, inclusive?
A. 499000
B. 499500
C. 499999
D. 500500
E. 500999
Count = biggest - smallest + 1.
Average = (biggest + smallest)/2.
Sum = (count)(average).
In the set above:
Count = 999 - 1 + 1 = 999.
Average = (999 + 1)/2 = 500.
Sum = (999)(500) = (1000-1)(500) = 500000-500 = 499500.
The correct answer is B.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
GMAT/MBA Expert
-
Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7264
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
The sum of the integers from 1 to 999, inclusive, is:BTGmoderatorDC wrote:What is the sum of the integers from 1 to 999, inclusive?
A. 499000
B. 499500
C. 499999
D. 500500
E. 500999
OA B
Source: Veritas Prep
sum = quantity x average = 999 x (1 + 999)/2 = 999 x 1000/2 = 999 x 500 = 499,500
Answer: B
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
-
[email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
Hi All,
We're asked for the sum of the integers from 1 to 999, inclusive. This question can be approached in a number of different ways, including by "bunching"
The sum of 1 and 999 is 1,000
The sum of 2 and 998 is 1,000
The sum of 3 and 997 is 1,000
Etc.
Using the numbers from 1 to 999, inclusive, we'll have 499 'pairs' of 1000 with one extra number 'leftover', the number "in the middle": 500.
Thus, the sum is (499)(1000) + 500 = 499,500
Final Answer: B
GMAT assassins aren't born, they're made,
Rich
We're asked for the sum of the integers from 1 to 999, inclusive. This question can be approached in a number of different ways, including by "bunching"
The sum of 1 and 999 is 1,000
The sum of 2 and 998 is 1,000
The sum of 3 and 997 is 1,000
Etc.
Using the numbers from 1 to 999, inclusive, we'll have 499 'pairs' of 1000 with one extra number 'leftover', the number "in the middle": 500.
Thus, the sum is (499)(1000) + 500 = 499,500
Final Answer: B
GMAT assassins aren't born, they're made,
Rich
