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# There is at least one red block and blue block in the box

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Manager
Joined: 06 May 2012
Posts: 75

Kudos [?]: 52 [2], given: 16

There is at least one red block and blue block in the box [#permalink]

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30 Oct 2012, 15:30
2
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Difficulty:

65% (hard)

Question Stats:

47% (00:44) correct 53% (01:25) wrong based on 57 sessions

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There is at least one red ball and at least one blue ball in a box. How many blue balls are there?

(1) From any two balls from the box, at least one is a red ball.
(2) The total number of balls in the box is 99.

[Reveal] Spoiler: OA

Kudos [?]: 52 [2], given: 16

Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 636

Kudos [?]: 653 [2], given: 23

Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Re: There is at least one red block and blue block in the box [#permalink]

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30 Oct 2012, 20:20
2
KUDOS
gmatchase wrote:
There is at least one red ball and at least one blue ball in a box. How many blue balls are there?

(1) From any two balls from the box, at least one is a red ball.
(2) The total number of balls in the box is 99.

From question we know that we have atleast 1 Red ball and 1 Blue ball.
Stem 1: If we pick any two balls, one is red or both are red. what does it mean? this can happen only if there is only 1 blue ball.
Suficient
Stem 2: Total number of balls is 99. Doent help us to reach anywhere. Not sufficient.

Hence Ans A it is.

hope it helps.
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Kudos [?]: 653 [2], given: 23

Math Expert
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Re: There is at least one red block and blue block in the box [#permalink]

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30 Oct 2012, 22:04
Expert's post
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gmatchase wrote:
There is at least one red ball and at least one blue ball in a box. How many blue balls are there?

(1) From any two balls from the box, at least one is a red ball.
(2) The total number of balls in the box is 99.

The original question is as follows:

There is at least one viper and at least one cobra in Pandora's box. How many cobras are there?

(1) From any two snakes from Pandora's box at least one is a viper. Since from ANY two snakes one is a viper then there cannot be 2 (or more) cobras and since there is at least one cobra then there must be exactly one cobra in the box. Sufficient.

(2) The total number of snakes Pandora's box is 99. Clearly insufficient.

Also discussed here:
devil-s-dozen-129312-20.html?hilit=viper#p1063888
devil-s-dozen-129312-20.html?hilit=viper#p1064475

Hope it helps.
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Kudos [?]: 128774 [0], given: 12182

Director
Joined: 25 Apr 2012
Posts: 724

Kudos [?]: 847 [0], given: 724

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GPA: 3.21
Re: There is at least one red block and blue block in the box [#permalink]

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31 Oct 2012, 03:20
Vips0000 wrote:
gmatchase wrote:
There is at least one red ball and at least one blue ball in a box. How many blue balls are there?

(1) From any two balls from the box, at least one is a red ball.
(2) The total number of balls in the box is 99.

From question we know that we have atleast 1 Red ball and 1 Blue ball.
Stem 1: If we pick any two balls, one is red or both are red. what does it mean? this can happen only if there is only 1 blue ball.
Suficient
Stem 2: Total number of balls is 99. Doent help us to reach anywhere. Not sufficient.

Hence Ans A it is.

hope it helps.

Hello,

At least one red ball and One blue ball means at least one ball of each type (but there can be more) from the Q. stem

Can we infer from Statement 1 that there are only 2 balls in the box.

There can be any no. of Balls in the box. But, At least one means surely there will be one but can be more of same type.
If i say I have atleast 100US $doesn't that mean that surely I have US$ 100 but might have more but not less.

Is my understanding correct??

_________________

“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”

Kudos [?]: 847 [0], given: 724

Math Expert
Joined: 02 Sep 2009
Posts: 41886

Kudos [?]: 128774 [0], given: 12182

Re: There is at least one red block and blue block in the box [#permalink]

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31 Oct 2012, 04:02
mridulparashar1 wrote:
Vips0000 wrote:
gmatchase wrote:
There is at least one red ball and at least one blue ball in a box. How many blue balls are there?

(1) From any two balls from the box, at least one is a red ball.
(2) The total number of balls in the box is 99.

From question we know that we have atleast 1 Red ball and 1 Blue ball.
Stem 1: If we pick any two balls, one is red or both are red. what does it mean? this can happen only if there is only 1 blue ball.
Suficient
Stem 2: Total number of balls is 99. Doent help us to reach anywhere. Not sufficient.

Hence Ans A it is.

hope it helps.

Hello,

At least one red ball and One blue ball means at least one ball of each type (but there can be more) from the Q. stem

Can we infer from Statement 1 that there are only 2 balls in the box.

There can be any no. of Balls in the box. But, At least one means surely there will be one but can be more of same type.
If i say I have atleast 100US $doesn't that mean that surely I have US$ 100 but might have more but not less.

Is my understanding correct??

Yes, at least one means $$\geq{1}$$.
_________________

Kudos [?]: 128774 [0], given: 12182

Director
Status: Done with formalities.. and back..
Joined: 15 Sep 2012
Posts: 636

Kudos [?]: 653 [0], given: 23

Location: India
Concentration: Strategy, General Management
Schools: Olin - Wash U - Class of 2015
WE: Information Technology (Computer Software)
Re: There is at least one red block and blue block in the box [#permalink]

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31 Oct 2012, 04:20
mridulparashar1 wrote:
Vips0000 wrote:
gmatchase wrote:
There is at least one red ball and at least one blue ball in a box. How many blue balls are there?

(1) From any two balls from the box, at least one is a red ball.
(2) The total number of balls in the box is 99.

From question we know that we have atleast 1 Red ball and 1 Blue ball.
Stem 1: If we pick any two balls, one is red or both are red. what does it mean? this can happen only if there is only 1 blue ball.
Suficient
Stem 2: Total number of balls is 99. Doent help us to reach anywhere. Not sufficient.

Hence Ans A it is.

hope it helps.

Hello,

At least one red ball and One blue ball means at least one ball of each type (but there can be more) from the Q. stem

Can we infer from Statement 1 that there are only 2 balls in the box.

There can be any no. of Balls in the box. But, At least one means surely there will be one but can be more of same type.
If i say I have atleast 100US $doesn't that mean that surely I have US$ 100 but might have more but not less.

Is my understanding correct??

Hi
Yes your understanding is correct that at least 1 would mean 1 or more. However when we use stem 1, it says if u pick any 2 balls at least 1 would be red. This is possible if there is only one blue ball. You can pick any numbers to check this.
So since now we know the number of blue balls,which is 1, we can conclude that statement is sufficient.
Clear?:)
_________________

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Kudos [?]: 653 [0], given: 23

Manager
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Posts: 75

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Re: There is at least one red block and blue block in the box [#permalink]

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31 Oct 2012, 14:28
Vips0000 wrote:
From question we know that we have atleast 1 Red ball and 1 Blue ball.
Stem 1: If we pick any two balls, one is red or both are red. what does it mean? this can happen only if there is only 1 blue ball.
Suficient
Stem 2: Total number of balls is 99. Doent help us to reach anywhere. Not sufficient.

Hence Ans A it is.

hope it helps.

Thank you Vips0000 for your explanation.

Kudos [?]: 52 [0], given: 16

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Re: There is at least one red block and blue block in the box [#permalink]

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05 Feb 2015, 16:37
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Re: There is at least one red block and blue block in the box [#permalink]

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12 Jun 2016, 10:25
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: There is at least one red block and blue block in the box   [#permalink] 12 Jun 2016, 10:25
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