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# Jamboree and GMAT Club Contest: In a class of 100 students, 80 passed

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Intern
Joined: 17 Jan 2018
Posts: 43
Re: Jamboree and GMAT Club Contest: In a class of 100 students, 80 passed [#permalink]

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22 Mar 2018, 04:34
Total Students = 100
Total Passed = 100 - 10 = 90

Now, when the venn diagrams are drawn, we can see that -

Total Passed = P + C + M - (Only two) - 2 (All three)
90 = 80 + 70 + 40 - OT - 2AT
OT + 2AT = 100 ---- (1)

Now, the question asks "at least" how many students pass all three (AT)...
This would happen, when the OT covers the entire spectrum of the students alongwith AT.

OT + AT = 90 ---- (2)

From (1) & (2), AT is 10.

So, Ans is C

Bunuel wrote:

Jamboree and GMAT Club Contest Starts

QUESTION #13:

In a class of 100 students, 80 passed Physics, 70 passed Chemistry, and 40 passed Math. If 10 students failed in all the three subjects, at least how many of the students passed all the three subjects?

(A) 0
(B) 5
(C) 10
(D) 20
(E) 25

Check conditions below:

For the following two weekends we'll be publishing 4 FRESH math questions and 4 FRESH verbal questions per weekend.

To participate, you will have to reply with your best answer/solution to the new questions that will be posted on Saturday and Sunday at 9 AM Pacific.
Then a week later, respective forum moderators will be selecting 2 winners who provided most correct answers to the questions, along with best solutions. Those winners will get 6-months access to GMAT Club Tests.

PLUS! Based on the answers and solutions for all the questions published during the project ONE user will be awarded with ONE Grand prize. He/She can opt for one of the following as a Grand Prize. It will be a choice for the winner:
-- GMAT Online Comprehensive (If the student wants an online GMAT preparation course)
-- GMAT Classroom Program (Only if he/she has a Jamboree center nearby and is willing to join the classroom program)

Bookmark this post to come back to this discussion for the question links - there will be 2 on Saturday and 2 on Sunday!

There is only one Grand prize and student can choose out of the above mentioned too options as per the conditions mentioned in blue font.
All announcements and winnings are final and no whining GMAT Club reserves the rights to modify the terms of this offer at any time.

NOTE: Test Prep Experts and Tutors are asked not to participate. We would like to have the members maximize their learning and problem solving process.

Thank you!

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Re: Jamboree and GMAT Club Contest: In a class of 100 students, 80 passed   [#permalink] 22 Mar 2018, 04:34

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