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

Question

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

nkme2007 · Answer

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

yashikaaggarwal · Answer

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

Answer is D

Posted from my mobile device

Lipun · Answer

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

Sum of next V integers = V /2
=> Sum = V /2
=> Sum = V(2V + V+1)/2
=> Sum = V^2 + W

Ans: D

dimri10 · Answer

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

bratbg · Answer

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

nkme2007 · Answer

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.

Fdambro294 · Answer

out of curiosity, does anyone have an Algebra Approach? I Plugged in Numbers also....

EDIT: Nevermind, I missed a post above. Apologies.

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

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