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

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Set A contains all the even numbers..... [#permalink]

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New post 08 Oct 2010, 05:39
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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

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Joined: 22 Jun 2010
Posts: 56

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Re: Set A contains all the even numbers..... [#permalink]

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New post 08 Oct 2010, 05:49
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

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Re: Set A contains all the even numbers..... [#permalink]

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New post 08 Oct 2010, 06:53
Answer is A.

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

102+104+106+....+150=(100+100+100+.....till 25th term)+(2+4+6+......+50)= 2500+ 1st one

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Re: Set A contains all the even numbers..... [#permalink]

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New post 01 Aug 2017, 20:18
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Re: Set A contains all the even numbers.....   [#permalink] 01 Aug 2017, 20:18
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