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# Consider 9 consecutive integers from x, x+1, x+2…, x+8. What is the

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Consider 9 consecutive integers from x, x+1, x+2…, x+8. What is the  [#permalink]

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13 Mar 2019, 12:13
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Consider 9 consecutive integers from x, x+1, x+2…,till x+8. What is the sum of these 9 integers?

(1) Sum of 5 consecutive integers from 'x+2' till 'x+6' is zero.
(2) Product of 5 consecutive integers from 'x+2' till 'x+6' is zero.
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Re: Consider 9 consecutive integers from x, x+1, x+2…, x+8. What is the  [#permalink]

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14 Mar 2019, 10:29
From S1:

x+2+x+3+x+4+x+5+x+6 = 0
As the numbers are consecutive, x+4th term has to be zero, means x = -4 or 5x+20 = 0, x = -4
Sufficient to calculate the sum.
Sufficient.

From S2:

Product of x+2 till x+6 is zero. Here any term any be zero.
Hence Insufficient.

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Re: Consider 9 consecutive integers from x, x+1, x+2…, x+8. What is the  [#permalink]

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18 Mar 2019, 00:06
amanvermagmat wrote:
Consider 9 consecutive integers from x, x+1, x+2…,till x+8. What is the sum of these 9 integers?

(1) Sum of 5 consecutive integers from 'x+2' till 'x+6' is zero.
(2) Product of 5 consecutive integers from 'x+2' till 'x+6' is zero.

#1
sum of x+2 to x+6 = 5x+20
5x+20=0
x=-4
we can find sum of 9 integers
sufficient
#2
x+2... to x+6 product = 0
so any of x can be -ve integer . insufficient
IMO A
Re: Consider 9 consecutive integers from x, x+1, x+2…, x+8. What is the   [#permalink] 18 Mar 2019, 00:06
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