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Did the sum of the prices of three shirts exceed $60?

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Did the sum of the prices of three shirts exceed $60?  [#permalink]

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New post 26 Oct 2015, 09:45
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Did the sum of the prices of three shirts exceed $60?

(1) The price of the most expensive of the shirts exceeded $30.
(2) The price of the least expensive of the shirts exceeded $20.

Kudos for a correct solution.

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Did the sum of the prices of three shirts exceed $60?  [#permalink]

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New post Updated on: 07 Aug 2017, 10:34
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Bunuel wrote:
Did the sum of the prices of three shirts exceed $60?

(1) The price of the most expensive of the shirts exceeded $30.
(2) The price of the least expensive of the shirts exceeded $20.

Kudos for a correct solution.


Target question: Did the sum of the prices of three shirts exceed $60?

Statement 1: The price of the most expensive of the shirts exceeded $30
This statement doesn't FEEL sufficient, so I'll TEST some values.
Case a: the shirt prices are $31, $32 and $33, in which case the sum of the 3 prices EXCEEDS $60
Case b: the shirt prices are $11, $12 and $33, in which case the sum of the 3 prices DOES NOT exceed $60
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Aside: For more on this idea of plugging in values when a statement doesn't feel sufficient, you can read my article: http://www.gmatprepnow.com/articles/dat ... lug-values

Statement 2: The price of the least expensive of the shirts exceeded $20
If the least expensive shirt costs 20+ dollars, then the other 2 shirts also cost 20+ dollars each
(20+ dollars) + (20+ dollars) + (20+ dollars) = 60+ dollars
So, we can conclude that the sum of the 3 prices EXCEEDS $60
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer = B

Cheers,
Brent
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Originally posted by GMATPrepNow on 26 Oct 2015, 09:52.
Last edited by GMATPrepNow on 07 Aug 2017, 10:34, edited 1 time in total.
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Did the sum of the prices of three shirts exceed $60?  [#permalink]

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New post 26 Oct 2015, 09:55
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Did the sum of the prices of three shirts exceed $60?

(1) The price of the most expensive of the shirts exceeded $30.
(2) The price of the least expensive of the shirts exceeded $20.


B

1) If the most expensive shirt exceeds $30, then lets say the most expensive shirt is $31. Then the two lesser shirts can cost $30 a piece. This will bring the total over $60. But the two lesser shirts can also be $5 a piece, bringing the total under $60. Not Sufficient.
2) If the least expensive shirt exceeds $20, then lets say the least expensive shirt is $21. Then the two more expensive shirts can cost $22. This will bring the total over $60. The price of the two more expensive shirts can only go up making the sum of the three over $60. Sufficient.
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Re: Did the sum of the prices of three shirts exceed $60?  [#permalink]

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New post 27 Jun 2016, 14:08
What if all shirts cost $20 each, then the answer can be C?
or it has to be the price of the least expensive shirt cost $20 and other shirts above $20?
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Re: Did the sum of the prices of three shirts exceed $60?  [#permalink]

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New post 27 Jun 2016, 22:53
1
zxcvbnmas wrote:
What if all shirts cost $20 each, then the answer can be C?
or it has to be the price of the least expensive shirt cost $20 and other shirts above $20?


Hi Zxcvbnmas,

The Question says :

Did the sum of the prices of three shirts exceed $60?

(1) The price of the most expensive of the shirts exceeded $30.
(2) The price of the least expensive of the shirts exceeded $20.

Using option (2) , we know the cost of least exp shirt exceeded 20 , which means they can be 20.01 too , Even if all the 3 costed the same , the total cost will be greater than 60

Kudos if it helped
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Re: Did the sum of the prices of three shirts exceed $60?  [#permalink]

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New post 27 Jun 2016, 23:10
ashwini86 wrote:
zxcvbnmas wrote:
What if all shirts cost $20 each, then the answer can be C?
or it has to be the price of the least expensive shirt cost $20 and other shirts above $20?


Hi Zxcvbnmas,

The Question says :

Did the sum of the prices of three shirts exceed $60?

(1) The price of the most expensive of the shirts exceeded $30.
(2) The price of the least expensive of the shirts exceeded $20.

Using option (2) , we know the cost of least exp shirt exceeded 20 , which means they can be 20.01 too , Even if all the 3 costed the same , the total cost will be greater than 60

Kudos if it helped

if all three shirts cost $20, so 20+20+20=$60
60 cannot be greater than 60!
Where am I going wrong?? :cry:
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Re: Did the sum of the prices of three shirts exceed $60?  [#permalink]

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New post 27 Jun 2016, 23:45
zxcvbnmas wrote:
ashwini86 wrote:
zxcvbnmas wrote:
What if all shirts cost $20 each, then the answer can be C?
or it has to be the price of the least expensive shirt cost $20 and other shirts above $20?


Hi Zxcvbnmas,

The Question says :

Did the sum of the prices of three shirts exceed $60?

(1) The price of the most expensive of the shirts exceeded $30.
(2) The price of the least expensive of the shirts exceeded $20.

Using option (2) , we know the cost of least exp shirt exceeded 20 , which means they can be 20.01 too , Even if all the 3 costed the same , the total cost will be greater than 60

Kudos if it helped

if all three shirts cost $20, so 20+20+20=$60
60 cannot be greater than 60!
Where am I going wrong?? :cry:



But how can we assume the cost to be 20 for 1 shirt , It is not mentioned in the premise
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Re: Did the sum of the prices of three shirts exceed $60?  [#permalink]

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New post 28 Jun 2016, 00:03
ashwini86 wrote:

But how can we assume the cost to be 20 for 1 shirt , It is not mentioned in the premise


The question is asking whether the cost is greater than $60.
stmt (1) is clearly insufficient
stmt (2) the lowest value is $20
if all three shirts cost 20 each then the total value will be equal to 60
if not all three shirts equal to 20 then the total value will be greater than 60.
My question is can we assume that the least value and other two values are the same even though the statement 2 specifically stated the word "least"?
thanks in advance!
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Re: Did the sum of the prices of three shirts exceed $60?  [#permalink]

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New post 28 Jun 2016, 23:37
1
zxcvbnmas wrote:
ashwini86 wrote:

But how can we assume the cost to be 20 for 1 shirt , It is not mentioned in the premise


The question is asking whether the cost is greater than $60.
stmt (1) is clearly insufficient
stmt (2) the lowest value is $20
if all three shirts cost 20 each then the total value will be equal to 60
if not all three shirts equal to 20 then the total value will be greater than 60.
My question is can we assume that the least value and other two values are the same even though the statement 2 specifically stated the word "least"?
thanks in advance!



2) The price of the least expensive of the shirts exceeded $20.

The question doesn't mention the cost to be 20 anywhere , how are you deducing the cost to be 20 from the 2nd statement ?
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Re: Did the sum of the prices of three shirts exceed $60?  [#permalink]

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New post 29 Jun 2016, 11:04
ashwini86 wrote:
zxcvbnmas wrote:
ashwini86 wrote:

But how can we assume the cost to be 20 for 1 shirt , It is not mentioned in the premise


The question is asking whether the cost is greater than $60.
stmt (1) is clearly insufficient
stmt (2) the lowest value is $20
if all three shirts cost 20 each then the total value will be equal to 60
if not all three shirts equal to 20 then the total value will be greater than 60.
My question is can we assume that the least value and other two values are the same even though the statement 2 specifically stated the word "least"?
thanks in advance!



2) The price of the least expensive of the shirts exceeded $20.

The question doesn't mention the cost to be 20 anywhere , how are you deducing the cost to be 20 from the 2nd statement ?


Oh my god, I was reading stmt2 wrong, I though it was stating the lowest value is equal to $20 :wall
Thanks dude!!
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Re: Did the sum of the prices of three shirts exceed $60?  [#permalink]

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New post 29 Jun 2016, 14:03
1
Bunuel wrote:
Did the sum of the prices of three shirts exceed $60?

(1) The price of the most expensive of the shirts exceeded $30.
(2) The price of the least expensive of the shirts exceeded $20.

Kudos for a correct solution.


(1) The price of the most expensive of the shirts exceeded $30.
what if other two shirts are only $1 each.

Then total price will be 30+1+1= 32
Not sufficient.

(2) The price of the least expensive of the shirts exceeded $20.

Least expensive shirt is >20
that means other two shirts will be >20

total > 20+20+20
>60

B is the answer
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Re: Did the sum of the prices of three shirts exceed $60?  [#permalink]

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New post 30 Aug 2017, 15:32
1) Max is 30. So, total can be 30+29+28(more than 60) or 30+1+2(less than 60)

2) Least expensive is more than 20. So, total will be more than 60 in all possible cases

So, B

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Re: Did the sum of the prices of three shirts exceed $60?  [#permalink]

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New post 05 Sep 2017, 18:23
Bunuel wrote:
Did the sum of the prices of three shirts exceed $60?

(1) The price of the most expensive of the shirts exceeded $30.
(2) The price of the least expensive of the shirts exceeded $20.


We must determine whether the price of 3 shirts exceeded $60.

Statement One Alone:

The price of the most expensive of the shirts exceeded $30.

Without knowing the price of at least one of the other two shirts, we do not have enough information to answer the question. For example, the most expensive shirt could be $31 and the two less-expensive shirts could be $1 each, and thus the price of the 3 shirts would be less than $60. However, the most expensive shirt could be $50 and the two less-expensive shirts could be $10 each; then, the total price would exceed $60.

Statement Two Alone:

The price of the least expensive of the shirts exceeded $20.

We have enough information to determine that the price of the three shirts exceeded $60. We know that price of the least expensive shirt is greater than $20, and furthermore we know that the price of any one of the other two shirts has to be greater than the least expensive shirt. Thus, no matter what the prices of the three shirts are, the sum will always be greater than $60. Statement two is sufficient to answer the question.

Answer: B
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Re: Did the sum of the prices of three shirts exceed $60?  [#permalink]

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New post 18 Jan 2018, 08:18
GMATPrepNow wrote:
Bunuel wrote:
Did the sum of the prices of three shirts exceed $60?

(1) The price of the most expensive of the shirts exceeded $30.
(2) The price of the least expensive of the shirts exceeded $20.

Kudos for a correct solution.


Target question: Did the sum of the prices of three shirts exceed $60?

Statement 1: The price of the most expensive of the shirts exceeded $30
This statement doesn't FEEL sufficient, so I'll TEST some values.
Case a: the shirt prices are $31, $32 and $33, in which case the sum of the 3 prices EXCEEDS $60
Case b: the shirt prices are $11, $12 and $33, in which case the sum of the 3 prices DOES NOT exceed $60
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT

Aside: For more on this idea of plugging in values when a statement doesn't feel sufficient, you can read my article: http://www.gmatprepnow.com/articles/dat ... lug-values

Statement 2: The price of the least expensive of the shirts exceeded $20
If the least expensive shirt costs 20+ dollars, then the other 2 shirts also cost 20+ dollars each
(20+ dollars) + (20+ dollars) + (20+ dollars) = 60+ dollars
So, we can conclude that the sum of the 3 prices EXCEEDS $60
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer = B

Cheers,
Brent


Nicely explained Brent.! I love your explanations and the way you always enlighten with some valuable complimentary videos or articles.
And thanks for sharing the link to your article that was really informative and helpful.

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Re: Did the sum of the prices of three shirts exceed $60? &nbs [#permalink] 18 Jan 2018, 08:18
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