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Bunuel
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Of 41 reviews of a particular restaurant, 20 cited good service, 7 cit 13 Sep 2021, 02:28
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Difficulty:

15% (low)

Question Stats:

85% (01:08) correct 15% (01:46) wrong based on 67 sessions

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Of 41 reviews of a particular restaurant, 20 cited good service, 7 cited the quality of the desserts, and 20 cited neither good service nor the quality of the desserts. How many of the reviews cited good service and the quality of the desserts?

A. 20

B. 13

C. 9

D. 7

E. 6
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E
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DashingNightmare2
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Concentration: Marketing, Technology
Schools: ISB '23 (A)
GMAT 1: 750 Q50 V41
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Schools: ISB '23 (A)
GMAT 1: 750 Q50 V41
Posts: 101
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Of 41 reviews of a particular restaurant, 20 cited good service, 7 cit 13 Sep 2021, 15:27
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Bunuel
Of 41 reviews of a particular restaurant, 20 cited good service, 7 cited the quality of the desserts, and 20 cited neither good service nor the quality of the desserts. How many of the reviews cited good service and the quality of the desserts?

A. 20

B. 13

C. 9

D. 7

E. 6
Show more

Let I denote good service or quality of desert
II denote both good service and quality of desert

I+ II + 20 = 41
Also, I +2*II =27

Solving we get I =15. II =6
Hence IMO E
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rishabh195
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Of 41 reviews of a particular restaurant, 20 cited good service, 7 cit 13 Sep 2021, 16:58
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DashingNightmare2
Bunuel
Of 41 reviews of a particular restaurant, 20 cited good service, 7 cited the quality of the desserts, and 20 cited neither good service nor the quality of the desserts. How many of the reviews cited good service and the quality of the desserts?

A. 20

B. 13

C. 9

D. 7

E. 6

Let I denote good service or quality of desert
II denote both good service and quality of desert

I+ II + 20 = 41
Also, I +2*II =27

Solving we get I =15. II =6
Hence IMO E
Show more

Hi DashingNightmare2

Can you please elaborate a bit. I am not able to understand from here "Also, I + 2*II = 27" how did you arrive here and why did you took 2*II = 27. Kindly reply.

Thanks
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DashingNightmare2
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Joined: 30 May 2021
Last visit: 19 Jun 2022
Posts: 101
Own Kudos:
107
Given Kudos: 77
Location: India
Concentration: Marketing, Technology
Schools: ISB '23 (A)
GMAT 1: 750 Q50 V41
GPA: 2.96
Schools: ISB '23 (A)
GMAT 1: 750 Q50 V41
Posts: 101
Kudos: 107
Of 41 reviews of a particular restaurant, 20 cited good service, 7 cit 13 Sep 2021, 23:33
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rishabh195
DashingNightmare2
Bunuel
Of 41 reviews of a particular restaurant, 20 cited good service, 7 cited the quality of the desserts, and 20 cited neither good service nor the quality of the desserts. How many of the reviews cited good service and the quality of the desserts?

A. 20

B. 13

C. 9

D. 7

E. 6

Let I denote good service or quality of desert
II denote both good service and quality of desert

I+ II + 20 = 41
Also, I +2*II =27

Solving we get I =15. II =6
Hence IMO E

Hi DashingNightmare2

Can you please elaborate a bit. I am not able to understand from here "Also, I + 2*II = 27" how did you arrive here and why did you took 2*II = 27. Kindly reply.

Thanks
Show more


Hi rishabh195

Lets try to understand from the venn diagram which I attached below
Good service = A+C =20
quality of the desserts =B+C =7
If we add both above equations. A+B+2*C =27

Also from the question we know that
out of 41 reviews, 20 liked none => 21 viewers liked either one or both service and quality of dessert
or, in simple terms, A+B+C+none =41
=> A+B+C =21

Solving above 2 equation we get C =6,
good service and the quality of the desserts is represented by C

Hence E

In my previous answer, I mentioned A and B as I, and C as II
Because A and B denote that the user has liked only 1 of the 2 things,
whereas II represent C, that is user has liked both

Hope it helps, Thank you :blushing:
Attachments

venn2.png
venn2.png [ 19.35 KiB | Viewed 1504 times ]

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