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D students are enrolled in classes at the New York Art Institute. A ar

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D students are enrolled in classes at the New York Art Institute. A ar  [#permalink]

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New post 16 Jul 2020, 04:12
00:00
A
B
C
D
E

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  25% (medium)

Question Stats:

100% (01:14) correct 0% (00:00) wrong based on 47 sessions

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D students are enrolled in classes at the New York Art Institute. A are registered for painting, B have registered for ceramics, and C have registered for both painting and ceramics. How many have signed up for NEITHER painting nor ceramics?

A. A + C - B - D

B. D + A + B - C

C. D + C - A + B

D. D + C + A + 8

E. D - A - B + C

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Re: D students are enrolled in classes at the New York Art Institute. A ar  [#permalink]

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New post 16 Jul 2020, 04:18
ans. E
neither= total-students enrolled in ceramics-students enrolledin painting+2*students enrolled in both
neither= D-(A+C)-(B)+2*C
neither= D-A-B+C
please correct if I am wrong.
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D students are enrolled in classes at the New York Art Institute. A ar  [#permalink]

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New post 16 Jul 2020, 06:00
Total No. of students enrolled = D
No. of students registered for both painting and ceramics = C
No. of students registered for ONLY painting = A-C
No. of students registered for ONLY ceramics = B-C
No. of students who signed up for NEITHER painting nor ceramics = D - (C+A-C+B-C) = D-A-B+C

Ans is E
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Re: D students are enrolled in classes at the New York Art Institute. A ar  [#permalink]

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New post 16 Jul 2020, 12:09
formula: Set A+ Set B + Neigther - both = total
As per question :
A+B + neigther- C = D
therefore : Neither = D- A-B+C
Answer Option E
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Re: D students are enrolled in classes at the New York Art Institute. A ar  [#permalink]

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New post 19 Jul 2020, 10:33
Bunuel wrote:
D students are enrolled in classes at the New York Art Institute. A are registered for painting, B have registered for ceramics, and C have registered for both painting and ceramics. How many have signed up for NEITHER painting nor ceramics?

A. A + C - B - D

B. D + A + B - C

C. D + C - A + B

D. D + C + A + 8

E. D - A - B + C

Solution:

We can use the formula

Total = Set A + Set B - Both + Neither

Using the information in the problem, we can create the equation:

D = A + B - C + Neither

D - A - B + C = Neither

Answer: E
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Re: D students are enrolled in classes at the New York Art Institute. A ar   [#permalink] 19 Jul 2020, 10:33

D students are enrolled in classes at the New York Art Institute. A ar

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