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A total of 240 processed tuna cans were delivered to a sales outlet in

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A total of 240 processed tuna cans were delivered to a sales outlet in [#permalink]

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New post 13 Jan 2018, 20:43
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A total of 240 processed tuna cans were delivered to a sales outlet in 12 lots. Thereafter, 2 more lots were added to the lots already delivered. Is the average (arithmetic mean) number of processed tuna cans per lot for all the 14 lots less than 19?

(1) Each of the 2 lots delivered later had more than 12 processed tuna cans.
(2) Each of the 2 lots delivered later had less than 18 processed tuna cans.
[Reveal] Spoiler: OA

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A total of 240 processed tuna cans were delivered to a sales outlet in [#permalink]

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New post 13 Jan 2018, 22:30
mandeey wrote:
A total of 240 processed tuna cans were delivered to a sales outlet in 12 lots. Thereafter, 2 more lots were added to the lots already delivered. Is the average (arithmetic mean) number of processed tuna cans per lot for all the 14 lots less than 19?

(1) Each of the 2 lots delivered later had more than 12 processed tuna cans.
(2) Each of the 2 lots delivered later had less than 18 processed tuna cans.


let x be there in the 2 new lots..
so average = \(\frac{240+2x}{14}<19...........240+2x<19*14...........2x<266-240.........2x<26........x<13\)
so the Q is - IS x<13?

lets see the statement..

(1) Each of the 2 lots delivered later had more than 12 processed tuna cans.
so x>12....
we can answer NO for "IS x<13"
suff

(2) Each of the 2 lots delivered later had less than 18 processed tuna cans.
if x is 17, ans is NO
if x is 10, ans is YES x<13
insuff

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A total of 240 processed tuna cans were delivered to a sales outlet in   [#permalink] 13 Jan 2018, 22:30
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