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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # The sum of the first V positive integers is W. What is the sum of the

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Math Expert V
Joined: 02 Sep 2009
Posts: 65808
The sum of the first V positive integers is W. What is the sum of the  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 77% (01:43) correct 23% (02:13) wrong based on 31 sessions

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The sum of the first V positive integers is W. What is the sum of the next V positive integers?

A. VW
B. (V + W)/N
C. V + W
D. W + V^2
E. W - V^2

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Manager  S
Joined: 11 Mar 2012
Posts: 178
Location: India
Concentration: General Management, Marketing
GMAT 1: 600 Q50 V22
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The sum of the first V positive integers is W. What is the sum of the  [#permalink]

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Bunuel wrote:
The sum of the first V positive integers is W. What is the sum of the next V positive integers?

A. VW
B. (V + W)/N
C. V + W
D. W + V^2
E. W - V^2

Let V be 2

Sum of first 2 positive integers = 1+2 = 3 = W

Sum of next 2 positive integers = 3+4 = 7

POE of given options:

A: VW = 6 Wrong
B: (V + W)/N Wrong, as we don't know N
C: V+W = 5 Wrong
D: W + V^2 = 3+2^2 = 7 Fits
E: W - V^2 = 3-2^2 = 7 Wrong

Hence, OA: D
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Re: The sum of the first V positive integers is W. What is the sum of the  [#permalink]

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Let sum of first three(v) positive integers 1,2,3 = 6 {w}

The sum of next V positive integers= (4,5,6) = 15

That is
A. VW = 3*6 = 18 ≠ 15
B. (V + W)/N = (3+6) /N = 9/N ≠ 15
C. V + W = 3+6 = 9 ≠ 15
D. W + V^2 = 6 + 9 = 15 = 15
E. W - V^2 = 6 - 9 = -3 ≠ 15

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Manager  G
Joined: 05 Jan 2020
Posts: 142
Re: The sum of the first V positive integers is W. What is the sum of the  [#permalink]

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Sum of first V integers = V(V+1)/2 = W

Sum of next V integers = V[2*(V+1)+(V-1)1]/2
=> Sum = V[2V + 2 + V - 1]/2
=> Sum = V(2V + V+1)/2
=> Sum = V^2 + W

Ans: D
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Re: The sum of the first V positive integers is W. What is the sum of the  [#permalink]

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i was picking numbers to get D
v=3 numbers 1-2-3 so w=6
v2=3 , numbers 4-5-6 so w2=15
6+3^2=15
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GMAT 1: 650 Q48 V32 GMAT 2: 680 Q49 V34 GPA: 3
The sum of the first V positive integers is W. What is the sum of the  [#permalink]

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nkme2007 wrote:
Bunuel wrote:
The sum of the first V positive integers is W. What is the sum of the next V positive integers?

A. VW
B. (V + W)/N
C. V + W
D. W + V^2
E. W - V^2

Let V be 2

Sum of first 2 positive integers = 1+2 = 3 = W

Sum of next 2 positive integers = 3+4 = 7

POE of given options:

A: VW = 6 Wrong
B: (V + W)/N Wrong, as we don't know N
C: V+W = 5 Wrong
D: W + V^2 = 3+2^2 = 7 Fits
E: W - V^2 = 3-2^2 = 7 Wrong

Hence, OA: D

nkme2007 Just curious how did you know that you should try and put in values?
Coz I intially started solving taking variables only. But i liked your approach better.

Posted from my mobile device
Manager  S
Joined: 11 Mar 2012
Posts: 178
Location: India
Concentration: General Management, Marketing
GMAT 1: 600 Q50 V22
GPA: 3.48
WE: Project Management (Real Estate)
Re: The sum of the first V positive integers is W. What is the sum of the  [#permalink]

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bratbg wrote:
nkme2007 wrote:
Bunuel wrote:
The sum of the first V positive integers is W. What is the sum of the next V positive integers?

A. VW
B. (V + W)/N
C. V + W
D. W + V^2
E. W - V^2

Let V be 2

Sum of first 2 positive integers = 1+2 = 3 = W

Sum of next 2 positive integers = 3+4 = 7

POE of given options:

A: VW = 6 Wrong
B: (V + W)/N Wrong, as we don't know N
C: V+W = 5 Wrong
D: W + V^2 = 3+2^2 = 7 Fits
E: W - V^2 = 3-2^2 = 7 Wrong

Hence, OA: D

nkme2007 Just curious how did you know that you should try and put in values?
Coz I intially started solving taking variables only. But i liked your approach better.

Posted from my mobile device

Thanks for liking my approach bratbg. Just try to think if you can substitute any numbers when the question contains variables. This may save a lot of time when the algebraic solution takes time.

All the best.
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Aiming for a real big thing through GMAT Re: The sum of the first V positive integers is W. What is the sum of the   [#permalink] 10 Jul 2020, 03:54

# The sum of the first V positive integers is W. What is the sum of the  