Libby Ketchup purchases products from 25 tomato suppliers and 30 packa

Question

Libby Ketchup purchases products from 25 tomato suppliers and 30 packaging suppliers.

In the table below, select two numbers among the numbers listed that are consistent with the information given. In the first column, select the largest number of suppliers that sell either tomatoes or packaging products to Libby, and in the second column, select the largest number of suppliers that could possibly sell both tomatoes and packaging products to Libby. Select only one option in each column.

Archit3110 · Answer

target 
select the largest number of suppliers that sell either tomatoes or packaging products to Libby, and , select the largest number of suppliers that could possibly sell both tomatoes and packaging products to Libby
Tomato suppliers YT and packaging is YP
solve 2x2 matrix

-----YT---NT-----total
YP-- x ---- b-------30
NP--a -----0------a
---25----- b+0---- 
we can find x by
x= 30-b= 25-a
x= 5=b-a
b>a
possible table values x=20 , b= 10 and a = 5

-----YT---NT-----total
YP-- 20 ---- 10-------30
NP--5 -----0------5
---25----- 10---- 35
the largest number of suppliers that sell either tomatoes or packaging products to Libby : 10

the largest number of suppliers that could possibly sell both tomatoes and packaging products to Libby :20

10,20 is answer

RahulJain293 · Answer

In the table below, select two numbers among the numbers listed that are consistent with the information given. In the first column, select  the largest number of suppliers that sell either tomatoes or packaging products  to Libby, and in the second column, select  the largest number of suppliers that could possibly sell both tomatoes and packaging products  to Libby. Select only one option in each column.

IMO
30
20

1. Since we are talking about either X or Y
Let's say Libby goes to a supplier to buy just tomatoes. Maximum suppliers se could cover is 25. (which is not one of the options.)
Let's check for packaging, we can have 30 different suppliers.  Hence 30

2. For both tomatoes and packaging, we can see that at most we can have 25 suppliers that would sell both tomatoes and packaging.
Hence,  we choose 20 since 25 is not an option.

Oppenheimer1945 · Answer

I) For maximizing Either Tomatoes or packaging products, we need to minimize intersection ,
n(a U b) = n(a) + n(b) – n (a n b), 
=55-X is max, when X is min. Here X=5, then value is   50 .

II) For maximizing Both Tomatoes or packaging products: we can have intersection of Venn Diagram with   20 .

$!vakumar.m · Answer

Tomato Suppliers = 25
Packaging suppliers = 30

Either Tomatoes or packaging product 
The largest number of either tomatoes or packaging suppliers can be 25 + 30 = 55 suppliers. But in options we have 50 or 60. 
  So, the answer is 50.

Both Tomatoes or packaging products 
The largest number of both the suppliers can be 25. But in options we have 20 or 30.
  So, the answer is 20.

pintukr · Answer

In the table below, select two numbers among the numbers listed that are consistent with the information given. In the first column, select the largest number of suppliers that sell either tomatoes or packaging products to Libby, and in the second column, select the largest number of suppliers that could possibly sell both tomatoes and packaging products to Libby. Select only one option in each column.

1. Either Tomatoes or packaging products

For the largest number of suppliers that sell either tomatoes or packaging products to Libby (among the given options)

Given, tomato suppliers = 25 & packaging suppliers = 30..........(1)

The required value can't be 60 (since tomato suppliers = 25 & packaging suppliers = 30)

The required value can be 50 
(with the undermentioned distribution :-

Only Tomato suppliers = 20
Only Packaging suppliers = 25
Both (Tomato suppliers as well as Packaging suppliers) =5.............also, (1) is satisfied

Therefore, the largest number of suppliers that sell either tomatoes or packaging products to Libby = 20 + 25 + 5 = 50

Either Tomatoes or packaging products = 50

2. Both Tomatoes or packaging products

For the largest number of suppliers that could possibly sell both tomatoes and packaging products to Libby (among the given options),

Given, tomato suppliers = 25 & packaging suppliers = 30..........(2)

The required value can be 20 
(with the undermentioned distribution :-

Only Tomato suppliers = 05
Only Packaging suppliers = 10
Both (Tomato suppliers as well as Packaging suppliers) = 20......also, (2) is satisfied

Therefore, the largest number of suppliers that sell either tomatoes or packaging products to Libby = 20 + 25 + 5 = 50

Both Tomatoes or packaging products = 20

Thus, we get 
  Either Tomatoes or packaging products (largest value) = 50
Both Tomatoes or packaging products (largest value) = 20

Catman · Answer

The highest common number that supplies Both Tomatoes or packaging products will be 20 since it is less than 25. ( Maximum number can be 25, but since it is not in the option, we have to consider 20). In case of 20
Only Packing = 5
Both packing and supply=20
Only Supplies = 25
 Either Tomatoes or packaging products ,Number of supplier = 20

The highest common number that supplies Either Tomatoes or packaging products will be 55 having no common supplier of tomato and packaging. (Since 55 is not in the option, we have to consider number less than 55 which satisfies the case.)
In this case 50 
Only Packing = 20
Both packing and supply=5
Only Supplies = 25
 Both Tomatoes or packaging product, Number of supplier = 50.

rn1112 · Answer

Given that, Libby Ketchup purchases products from 25 tomato suppliers and 30 packaging suppliers.

(A) Either Tomatoes or packaging products

largest number of suppliers that sell EITHER tomatoes or packaging products to Libby

For the value as 50, we can show

Both (Tomato and Packaging ) =5
Only Tomato = 20
Only Packaging = 25

largest number of suppliers that sell EITHER tomatoes or packaging to Libby = Both (Tomato and Packaging ) + Only Tomato + Only Packaging 
 = 50

Largest Value ( for EITHER Tomatoes or packaging = 50

(B) Both Tomatoes or packaging products

largest number of suppliers that sell BOTH tomatoes or packaging products to Libby

We can show,

Both (Tomato and Packaging ) = 20
Only Tomato = 05
Only Packaging = 10

Given that, Libby Ketchup purchases products from 25 tomato suppliers and 30 packaging suppliers.

largest number of suppliers that sell BOTH tomatoes or packaging to Libby = 20

Largest Value ( for BOTH Tomatoes or packaging) = 20

Sajjad1994 · Answer

Official answer to this question is posted, it is:

Either Tomatoes or packaging products: 50
Both Tomatoes or packaging products: 20

Competition mode is off now. Official explanation will be posted soon.

Good luck with day 5 questions.

Sajjad1994 · Answer

Official Explanation

Libby has 25 tomato suppliers and 30 packaging suppliers. The total number of tomato and packaging suppliers combined is 25 + 30, or 55. The largest number listed in the table is 60, which is too large, so there are at most 50 suppliers providing either tomatoes or packaging products. If all of the tomato suppliers were also packaging suppliers, there would be 25 suppliers providing both items. This is the largest number of suppliers who could provide both tomatoes and packaging products. The number 25 is not listed in the table, however, and 30 is too large. So, of the numbers listed in the table, the largest number of suppliers who could be providing Libby with both tomatoes and packaging products is 20.

Answer:
  Either Tomatoes or packaging products: 50
Both Tomatoes or packaging products: 20

elslyknight · Answer

The wording of the question is a little confusing. What the solution is answering for is -   In the first column, select the largest number of suppliers    possible from the list    that sell either tomatoes or packaging products to Libby, and in the second column, select the largest number of suppliers    possible from the list    that could possibly sell both tomatoes and packaging products to Libby. Select only one option in each column.

Without that 'possible from the list', one can be going back and forth in the exact actual solution (25 and 55) and getting stumped from the options.

cheshire · Answer

It might be confusing but its deliberate and not ambiguous so it doesn't subtract from the question. Its an additional comprehension component that unlocks the intended answer strategy.

Libby Ketchup purchases products from 25 tomato suppliers and 30 packa

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Either Tomatoes or packaging products	Both Tomatoes or packaging products	Number of Suppliers
		10
		20
		30
		40
		50
		60

GMAT Two-part Analysis (TPA) Questions

Libby Ketchup purchases products from 25 tomato suppliers and 30 packa

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