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

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There is at least one red block and blue block in the box [#permalink] New post 30 Oct 2012, 14:30
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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.

Please answer with explanations.
[Reveal] Spoiler: OA
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Re: There is at least one red block and blue block in the box [#permalink] New post 30 Oct 2012, 19:20
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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.

Please answer with explanations.

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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Re: There is at least one red block and blue block in the box [#permalink] New post 30 Oct 2012, 21:04
Expert's post
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.

Please answer with explanations.


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.

Answer: A.

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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Re: There is at least one red block and blue block in the box [#permalink] New post 31 Oct 2012, 02:20
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.

Please answer with explanations.

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??


Please confirm
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Re: There is at least one red block and blue block in the box [#permalink] New post 31 Oct 2012, 03:02
Expert's post
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.

Please answer with explanations.

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??


Please confirm


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

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PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: There is at least one red block and blue block in the box [#permalink] New post 31 Oct 2012, 03:20
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.

Please answer with explanations.

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??


Please confirm

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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Re: There is at least one red block and blue block in the box [#permalink] New post 31 Oct 2012, 13:28
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.
Re: There is at least one red block and blue block in the box   [#permalink] 31 Oct 2012, 13:28
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