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Updated on: 10 Jul 2019, 05:50
Originally posted by rohan2345 on 15 May 2017, 07:25.
Last edited by Sajjad1994 on 10 Jul 2019, 05:50, edited 1 time in total.
Last edited by Sajjad1994 on 10 Jul 2019, 05:50, edited 1 time in total.
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
80% (01:21) correct
20%
(01:42)
wrong
based on 251
sessions
History
Date
Time
Result
Not Attempted Yet
Let u represent the sum of the integers from 1 through 20, and let v represent the sum of the integers from 21 through 40. What is the value of v – u ?
(A) 21
(B) 39
(C) 200
(D) 320
(E) 400
(A) 21
(B) 39
(C) 200
(D) 320
(E) 400
Source: Nova GMAT
Difficulty Level: 500
Difficulty Level: 500
15 May 2017, 09:02
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rohan2345
u = 1 + 2 + 3 + 4 + . . . . + 19 + 20
v = 21 + 22 + 23 + 24 + . . . . 39 + 40
Now let's write v a special way by recognizing that each value in v is 20 greater than its corresponding value in u.
For example, 21 = 1 + 20
And 22 = 2 + 20
23 = 3 + 20
.
.
.
40 = 20 + 20
So, v = (1 + 20) + (2 + 20) + (3 + 20) + . . . (19 + 20) + (20 + 20)
Notice that we have added 20 to twenty values.
(20)(20) = 400, so we can say: v = 1 + 2 + 3 + 4 + . . . . + 19 + 20 + 400
So, v - u = [1 + 2 + 3 + 4 + . . . . + 19 + 20 + 400] - [1 + 2 + 3 + 4 + . . . . + 19 + 20]
= 400
Answer:
Cheers,
Brent
General Discussion
15 May 2017, 07:39
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400
U= 20*21/2= 210
V= (40*41/2)- (20*21/2)= 610
So, v-u= 610-210= 400
Sent from my Coolpad 3600I using GMAT Club Forum mobile app
U= 20*21/2= 210
V= (40*41/2)- (20*21/2)= 610
So, v-u= 610-210= 400
Sent from my Coolpad 3600I using GMAT Club Forum mobile app
