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16 Sep 2014, 00:35
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A
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Difficulty:
65%
(hard)
Question Stats:
41% (01:02) correct
59%
(01:15)
wrong
based on 1296
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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.
(2) The total number of snakes in Pandora's box is 99.
(1) From any two snakes from Pandora's box at least one is a viper.
(2) The total number of snakes in Pandora's box is 99.
16 Sep 2014, 00:35
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Official Solution:
There is at least one viper and at least one cobra in Pandora's box. How many cobras are there?
This question is challenging and requires logical reasoning. Once you understand the logic behind it, the question becomes simple. However, if you have never encountered this type of problem before, it can be difficult to solve. If you made an error, it's important to review the solution and understand the reasoning, as it can be a valuable tool for similar problems on actual test.
(1) From any two snakes from Pandora's box at least one is a viper
Statement (1) states that from ANY two snakes in the box, at least one is a viper. This means that there cannot be two or more cobras in the box, because if there were, then we could choose two cobras and that would contradict the statement. Therefore, there must be at most one cobra in the box. And since we also know that there is at least one cobra in the box, there must be exactly one cobra. So, statement (1) is sufficient to answer the question.
(2) The total number of snakes Pandora's box is 99. Clearly insufficient.
Answer: A
There is at least one viper and at least one cobra in Pandora's box. How many cobras are there?
This question is challenging and requires logical reasoning. Once you understand the logic behind it, the question becomes simple. However, if you have never encountered this type of problem before, it can be difficult to solve. If you made an error, it's important to review the solution and understand the reasoning, as it can be a valuable tool for similar problems on actual test.
(1) From any two snakes from Pandora's box at least one is a viper
Statement (1) states that from ANY two snakes in the box, at least one is a viper. This means that there cannot be two or more cobras in the box, because if there were, then we could choose two cobras and that would contradict the statement. Therefore, there must be at most one cobra in the box. And since we also know that there is at least one cobra in the box, there must be exactly one cobra. So, statement (1) is sufficient to answer the question.
(2) The total number of snakes Pandora's box is 99. Clearly insufficient.
Answer: A
16 Mar 2015, 04:58
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this is a good question.
To people who are still confused about the 1st statement the below example should help you.
Ex:
Stated in the question
There is at least one viper and at least one cobra in Pandora's box
Statement 1
From any two snakes from Pandora's box at least one is a viper.
Cases that are in scope and are correct are
1V 1C is correct
2V 1C is correct
3V 1C is correct
.
.
.
n-1V 1C is correct
where n >0 and n is an integer
Here the no of cobras are always one because in the question it is stated that there is at least one cobra in Pandora's box. So minimum value of no of cobras is 1
Note:
Cases that are out of scope.
1V 2C
2V 2C
3V 3C etc...
Notice the no of cobras is always greater one . But what does the statement 1 say "from any two snakes at least one is a viper."
So all the above cases are out of scope as there is a chance that from any two snakes none can be a viper.
Hope this helps.
To people who are still confused about the 1st statement the below example should help you.
Ex:
Stated in the question
There is at least one viper and at least one cobra in Pandora's box
Statement 1
From any two snakes from Pandora's box at least one is a viper.
Cases that are in scope and are correct are
1V 1C is correct
2V 1C is correct
3V 1C is correct
.
.
.
n-1V 1C is correct
where n >0 and n is an integer
Here the no of cobras are always one because in the question it is stated that there is at least one cobra in Pandora's box. So minimum value of no of cobras is 1
Note:
Cases that are out of scope.
1V 2C
2V 2C
3V 3C etc...
Notice the no of cobras is always greater one . But what does the statement 1 say "from any two snakes at least one is a viper."
So all the above cases are out of scope as there is a chance that from any two snakes none can be a viper.
Hope this helps.
