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The sum of the even integers from 1 to 99

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The sum of the even integers from 1 to 99 [#permalink] New post   26 Jan 2024, 00:22
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50% (00:41) correct 50% (01:45) wrong based on 4 sessions

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Quantity A
Quantity B
The sum of the even integers from 1 to 99 inclusive
The sum of the odd integers from 1 to 99 inclusive



A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.



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B
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VibhuAnurag
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Re: The sum of the even integers from 1 to 99 [#permalink] New post   26 Jan 2024, 23:28
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The answer is B.

Quantity A --> It is an arithmetic progression.
1st term = 2 ; Last term = 98 ; No. of terms = 49
--> Average = (2 + 98)/2 = 100/2 = 50
--> Sum = 50 * 49 = 2450

Quantity B --> It is an arithmetic progression.
1st term = 1 ; Last term = 99 ; No. of terms = 50
--> Average = (1 + 99)/2 = 100/2 = 50
--> Sum = 50 * 50 = 2500
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Re: The sum of the even integers from 1 to 99 [#permalink]
26 Jan 2024, 23:28
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