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A certain shipment of identical cans of soup can be packed either into

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A certain shipment of identical cans of soup can be packed either into  [#permalink]

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New post 29 Oct 2015, 01:26
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  65% (hard)

Question Stats:

56% (01:53) correct 44% (02:10) wrong based on 61 sessions

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A certain shipment of identical cans of soup can be packed either into cartons that hold 15 cans each or into cartons that hold 25 cans each. If all cartons will be completely filled regardless of the size chosen, how many of the larger cartons would be needed to for the entire shipment?

(1) Forty fewer cartons would be needed if the shipment were packed in the larger cartons than if it were packed in the smaller cartons.

(2) If the cans were packed into the smaller cartons, 100 cartons would be needed.



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Re: A certain shipment of identical cans of soup can be packed either into  [#permalink]

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New post 29 Oct 2015, 04:45
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Ans is D

Statement 1 :- If x number of smaller cans fill the shipment then x-40 larger cans fill the entire shipment.

Therefore 15 * x = 25 ( x-40 ) will give us the ans.

Statement 2 :- Number of smaller cans is given as 100 there total cans required would be 15 * 100 = 1500

how many larger cans would be required to ship 1500 soups ? 1500 / 25 would give us the ans.
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Re: A certain shipment of identical cans of soup can be packed either into  [#permalink]

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New post 20 Jul 2017, 04:39
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srikanth9502 wrote:
A certain shipment of identical cans of soup can be packed either into cartons that hold 15 cans each or into cartons that hold 25 cans each. If all cartons will be completely filled regardless of the size chosen, and there will be an equal number of small and large cartons used, how many of the larger cartons are needed for the entire shipment?

Forty fewer cartons would be needed if the shipment were packed in the larger cartons than if it were packed in the smaller cartons.
If the cans were packed into the smaller cartons, 100 cartons would be needed.

A)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C)BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D)EACH statement ALONE is sufficient.

E)Statements (1) and (2) TOGETHER are not sufficient.



Let N be the no. of large cartoon

(1)25(N-40) = 15*N
N=60
suff..

(2)100*15 = 25*N

N= 60

suff

Ans D
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Re: A certain shipment of identical cans of soup can be packed either into   [#permalink] 20 Jul 2017, 04:39
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A certain shipment of identical cans of soup can be packed either into

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