SAT Sets and Venn Diagrams

If P = { 2 , 5 , 6 , 3 , 7 } P=\{2, 5, 6, 3, 7\} and Q = { 1 , 2 , 3 , 8 , 9 , 10 } , Q=\{1, 2, 3, 8, 9, 10\}, which of the following Venn diagrams represents the relationship between the two sets?


A B C D E

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2 solutions

Tatiana Georgieva Staff
Mar 25, 2015

Correct Answer: C

Solution:

The two elements that sets P P and Q Q have in common are 2 and 3. So we can eliminate choices (A), (B), and (E). Notice that in choice (D) 2 and 3 appear inside the area the two circles share, but also in the area that P P doesn't share with Q , Q, and in the area that Q Q doesn't share with P . P. This choice is wrong. We are left with choice (C), which is the correct answer.



Incorrect Choices:

(A) , (B) , (D) , and (E)
The solution shows how to eliminate these choices.

Yeah u r write i just became a lil bit over confident and chose b

Gayatri Nayak - 4 years, 6 months ago

This problem is for students of which grade

Gayatri Nayak - 4 years, 6 months ago

If you had not made the solution so microscopic I would have chosen the right one. What are you playing at? Always read the fine print? Is that the real lesson here?

Colin Holloway - 1 year, 1 month ago
A E
Apr 28, 2018

C is correct as every circle has correct digits and no digit is repeated in a circle

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