MHB Does Q have at least one element that is not in P?Which quantity is greater?

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The discussion centers on comparing two quantities, A and B, where A equals 120 and B equals 240, leading to the conclusion that Quantity B is greater. Participants agree that the question is easy, noting that the product of numbers in set P cannot exceed that of set Q, as P is a subset of Q. It is confirmed that Q contains at least two elements not present in P, specifically the numbers 1 and 2. The consensus is that Quantity B is greater than Quantity A. Overall, the relationship between the two quantities is clear and straightforward.
karush
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ok kinda catchy but I chose B
$A =10\cdot 12 =120,\quad B=1\cdot2\cdot10\cdot12=240$
$\begin{array}{ll}
A &\textit{ Quantity A is greater}\\
B &\textit{ Quantity B is greater}\\
C &\textit{ The 2 Quantities are equal}\\
D &\textit{The relationship cannot be determined}
\end{array}$}

how would you rate this Easy,Mediam,Hard?

typos??
 
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You are right.

the question is easy.

The product of numbers that are in P that are in Q cannot be more than the product of numbers that are in Q.

this is so because the numbers in P that are in Q has to be be subset of numbers in Q.

Now does Q contain at least one element that is not in P yes . in fact 2 that is 1 and 2
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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