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The sum of the even integers from 1 to 99
[#permalink]
26 Jan 2024, 00:22
26 Jan 2024, 00:22
Expert Reply
00:00
Question Stats:
66% (00:42) correct
33% (01:45) wrong based on 6 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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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
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Free Materials for the GRE General Exam - Where to get it!!
GRE Geometry Formulas
GRE - Math Book
Re: The sum of the even integers from 1 to 99
[#permalink]
26 Jan 2024, 23:28
26 Jan 2024, 23:28
1
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
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
gmatclubot
Re: The sum of the even integers from 1 to 99 [#permalink]
26 Jan 2024, 23:28
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