There is Atleast One Viper and Atleast One Cobra in Pandora’s Box GMAT data sufficiency

Question: There is atleast one viper and atleast one cobra in Pandora’s Box. How many cobra’s are there?

1. From any two snakes from Pandora’s atleast one is a viper.
2. The total number of snakes in Pandora’s Box is 99.

1. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
2. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
3. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are NOT sufficient.

“There is atleast one viper and atleast one cobra in Pandora’s Box. How many cobra’s are there?” – is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "GMAT Quantitative Review". GMAT Quant section consists of a total of 31 questions. GMAT Data Sufficiency questions consist of a problem statement followed by two factual statements. GMAT data sufficiency comprises 15 questions which are two-fifths of the total 31 GMAT quant questions.

Answer

Approach Solution 1

Firstly, consider statement (1), we can see that from any two snakes from Pandora’s Box atleast one is viper. This does not mean that there are 2 snakes in the box or that there is only 1 viper. Instead, it indicates that at most, there is 1 cobra. This may mean 1 cobra and 1 viper or 1 cobra and 99 vipers. Make sure you understand this distinction.

S1 tells us that there is only 1 cobra in the box, which is sufficient in itself.

Now considering statement (2), we have that the total number of snakes Pandora’s Box is 99.

This is clearly insufficient.

So, we can say that statement (1) alone is sufficient and statement (2) alone is insufficient.

Correct option: A

Approach Solution 2

Firstly, consider statement (1),

Any two snakes, possibilities: V, V or V, C or C, V

Now considering statement (2),

This statement is totally irrelevant and useless because we have that the total number of snakes Pandora’s Box is 99.

So, we can say that statement (1) alone is sufficient and statement (2) alone is insufficient.

Correct option: A

Suggested GMAT Quant Questions:

• Is Quadrilateral ABCD a Rectangle? GMAT Data Sufficiency
• What is the value of x + 7 ? GMAT Data Sufficiency
• Ifx2x2=2x2x, What is the Value of x ? GMAT Data Sufficiency
• X is Older Than Y, Z Is Younger Than W And V is Older Than Y. Is Z Younger Than X? GMAT Data Sufficiency
• The Set S of Numbers has the following Properties GMAT data Sufficiency
• A Pentagon With 5 Sides Of Equal Length And 5 Interior Angles Of Equal measure is Inscribed in a Circle GMAT Data Sufficiency
• The Set S of Numbers has the following Properties GMAT Data Sufficiency
• Juan Bought Some Paperback Books That Cost $8 Each and Some Hardcover Books That Cost $25 Each GMAT Data Sufficiency
• If 0 < a < b < c, Which of the Following Statements Must be True? GMAT Data Sufficiency
• If Jeff has four movies, and must choose to watch either 1, 2, or 3 different movies GMAT Data Sufficiency
• If a and b are Integers, and b > 0, Does (a - 1)/(b + 1) = a/b ? GMAT Data Sufficiency
• If L \(\neq\) 0, is \(\frac{18K}{L}\) an Integer? GMAT Data Sufficiency
• What is the value of \(6x^2+9y^2\)? GMAT Data Sufficiency
• If x and y are integers andx=y5+2 , is xy even? GMAT Data Sufficiency
• If m is a positive integer, is√m>25m>25? GMAT Data Sufficiency
• If There are 78 People Working at an Office, How Many of Them are Women Older than 40? GMAT Data Sufficiency
• If ab = ac is b = 2? GMAT Data Sufficiency
• If 53 Students are Enrolled in Both the CS103 (Algorithms and Data Structures) And M101 (Mathematics for Computer Science) Classes, How Many of the CS103 Students are no Enrolled in M101? GMAT Data Sufficiency
• Buster Leaves the Trailer at Noon and Walks Towards the Studio at a Constant Rate of B Miles Per Hour. GMAT Data Sufficiency
• If \(\sqrt{3+\sqrt{x-1}}=4\) , what is the value of x? GMAT Data Sufficiency