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A grocer makes a display of cans in which the top row has one can and

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Math Expert
Joined: 02 Sep 2009
Posts: 59587
A grocer makes a display of cans in which the top row has one can and  [#permalink]

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21 Mar 2019, 23:23
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Difficulty:

15% (low)

Question Stats:

85% (01:53) correct 15% (02:51) wrong based on 26 sessions

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A grocer makes a display of cans in which the top row has one can and each lower row has two more cans than the row above it. If the display contains 100 cans, how many rows does it contain?

(A) 5
(B) 8
(C) 9
(D) 10
(E) 11

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Joined: 25 Feb 2019
Posts: 335
Re: A grocer makes a display of cans in which the top row has one can and  [#permalink]

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21 Mar 2019, 23:51
1
1
IMO D

the given condition form an AP with first term as 1 and sum of all items in row = 100

difference = 2

S = n/2(2a+(n-1)*d)

Here we have to find n

after putting S = 100 n= ?
d=2 a= 1

we get n = 10

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Joined: 18 Aug 2017
Posts: 5428
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: A grocer makes a display of cans in which the top row has one can and  [#permalink]

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22 Mar 2019, 02:22
Bunuel wrote:
A grocer makes a display of cans in which the top row has one can and each lower row has two more cans than the row above it. If the display contains 100 cans, how many rows does it contain?

(A) 5
(B) 8
(C) 9
(D) 10
(E) 11

sn=n/2 * 2a+(n-1)*d
sn= 100
d=2
a=1
solve we get
n=10
IMO D
Re: A grocer makes a display of cans in which the top row has one can and   [#permalink] 22 Mar 2019, 02:22
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A grocer makes a display of cans in which the top row has one can and

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