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# A shipment of 70 items is to be divided into three lots. How many piec

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SVP
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 2021
Location: Pakistan
GPA: 3.39
A shipment of 70 items is to be divided into three lots. How many piec  [#permalink]

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28 Dec 2017, 11:26
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Difficulty:

25% (medium)

Question Stats:

88% (01:04) correct 12% (01:39) wrong based on 29 sessions

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A shipment of 70 items is to be divided into three lots. How many pieces are in the largest of the three lots?

(1) The number of items in the largest lot is equal to the sum of the number of items of the other two lots.
(2) The smallest lot contains 10 items.

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Joined: 23 May 2017
Posts: 241
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)
Re: A shipment of 70 items is to be divided into three lots. How many piec  [#permalink]

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28 Dec 2017, 11:34
1
Let's say - the lots are x, y and z and X has the largest number of parts

given => x+ y + z = 70 - question - Find X?

statement 1 : x = y + z

substituting in the given equation : 2(y+z) = 70 so y + z = 35 = x : Sufficient

Statement 2: either y or z = 10 : nothing on x hence insufficient

Ans : A
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Joined: 07 Oct 2017
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Re: A shipment of 70 items is to be divided into three lots. How many piec  [#permalink]

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28 Dec 2017, 13:07
A shipment of 70 items is to be divided into three lots. How many pieces are in the largest of the three lots?

(1) The number of items in the largest lot is equal to the sum of the number of items of the other two lots.
(2) The smallest lot contains 10 items.

St1:
Lot size can be 10,10,50
Lot size can be 5,25,40

Not sufficient

St2: lot size can be 10,20,40
Lot size can be 10,25,35
Not sufficient

Combining

10,25,35

Sufficient
C

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Manager
Joined: 20 Feb 2017
Posts: 88
Location: United States
Re: A shipment of 70 items is to be divided into three lots. How many piec  [#permalink]

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28 Dec 2017, 14:13
sumit411 wrote:
A shipment of 70 items is to be divided into three lots. How many pieces are in the largest of the three lots?

(1) The number of items in the largest lot is equal to the sum of the number of items of the other two lots.
(2) The smallest lot contains 10 items.

St1:
Lot size can be 10,10,50
Lot size can be 5,25,40

Not sufficient

St2: lot size can be 10,20,40
Lot size can be 10,25,35
Not sufficient

Combining

10,25,35

Sufficient
C

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app

Question has asked about largest lot size not the the all three lot size values.
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Joined: 07 Oct 2017
Posts: 260
Re: A shipment of 70 items is to be divided into three lots. How many piec  [#permalink]

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28 Dec 2017, 19:46
lostin wrote:
sumit411 wrote:
A shipment of 70 items is to be divided into three lots. How many pieces are in the largest of the three lots?

(1) The number of items in the largest lot is equal to the sum of the number of items of the other two lots.
(2) The smallest lot contains 10 items.

St1:
Lot size can be 10,10,50
Lot size can be 5,25,40

Not sufficient

St2: lot size can be 10,20,40
Lot size can be 10,25,35
Not sufficient

Combining

10,25,35

Sufficient
C

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app

Question has asked about largest lot size not the the all three lot size values.

I showed the same thing.

A and B can give different largest lot size

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
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The best thing in life lies on the other side of the pain.

Manager
Joined: 20 Feb 2017
Posts: 88
Location: United States
Re: A shipment of 70 items is to be divided into three lots. How many piec  [#permalink]

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28 Dec 2017, 20:03
sumit411 wrote:
lostin wrote:

Question has asked about largest lot size not the the all three lot size values.

I showed the same thing.

A and B can give different largest lot size

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app

(1) The number of items in the largest lot is equal to the sum of the number of items of the other two lots.

lets say 3 lots are L1, L2, and L3 and L1 the is largest lot.

As per given condition -
L1+L2+L3 = 70
L1 = L2+L3
so L1 + L1 = 70
L1 = 35

St1 is sufficient to get L1 size.

Your stated example in St1. don't satisfy given condition.

50 is not equal to 10+10.
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Re: A shipment of 70 items is to be divided into three lots. How many piec &nbs [#permalink] 28 Dec 2017, 20:03
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