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# Set A contains all the even numbers.....

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Manager
Joined: 22 Sep 2010
Posts: 91
Followers: 2

Kudos [?]: 66 [0], given: 0

Set A contains all the even numbers..... [#permalink]  08 Oct 2010, 04:39
00:00

Difficulty:

(N/A)

Question Stats:

25% (02:44) correct 75% (00:48) wrong based on 5 sessions
Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 and 150 inclusive. What is the difference between the sum of elements of set B and that of set A?

A. 2500
B. 5050
C. 11325
D. 6275
E. 2550
Manager
Joined: 22 Jun 2010
Posts: 57
Followers: 1

Kudos [?]: 31 [0], given: 10

Re: Set A contains all the even numbers..... [#permalink]  08 Oct 2010, 04:49
pzazz12 wrote:
Set A contains all the even numbers between 2 and 50 inclusive. Set B contains all the even numbers between 102 and 150 inclusive. What is the difference between the sum of elements of set B and that of set A?

A. 2500
B. 5050
C. 11325
D. 6275
E. 2550

Sum of an evenly spaced set = first term + last term/2 * number of terms

Set A = (2 + 50)/2 * 25 = 26 x 25 (do not calculate yet!)
Set B = (102 + 150)/2 * 25 = 126 x 25

Now you see, the difference is exactly 100 x 25 = 2500

Cheers,
André
Manager
Joined: 08 Sep 2010
Posts: 233
Location: India
WE 1: 6 Year, Telecom(GSM)
Followers: 4

Kudos [?]: 168 [0], given: 21

Re: Set A contains all the even numbers..... [#permalink]  08 Oct 2010, 05:53

2+4+6+......+50

102+104+106+....+150=(100+100+100+.....till 25th term)+(2+4+6+......+50)= 2500+ 1st one
Re: Set A contains all the even numbers.....   [#permalink] 08 Oct 2010, 05:53
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