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Bunuel
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In a survey conducted to find out the readership of three Newspapers A 11 Jun 2019, 01:36
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

95% (hard)

Question Stats:

17% (02:47) correct 83% (02:17) wrong based on 12 sessions

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In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found that 8 people read all three newspapers. Find the minimum number of people who read both A and B but not C.

A. 0
B. 1
C. 2
D. 3
E. 5

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C
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In a survey conducted to find out the readership of three Newspapers A 11 Jun 2019, 06:19
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With the given information it's clear that minimum number of people who read both A and B but not C can be 0. It doesn't look like a 700 problem or the question is missing some info.



Bunuel
In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found that 8 people read all three newspapers. Find the minimum number of people who read both A and B but not C.

A. 0
B. 1
C. 2
D. 3
E. 5
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In a survey conducted to find out the readership of three Newspapers A 11 Jun 2019, 06:20
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Bunuel
In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found that 8 people read all three newspapers. Find the minimum number of people who read both A and B but not C.

A. 0
B. 1
C. 2
D. 3
E. 5
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Let the people who read A and B but not C = x (as shown)


For x to be minimum, We have to maximize C i.e, C = 83 and adjust 83 (as shown)


I would try to give the least value possible = 0 and try adjust A and B to fit the values given 20 ≤ A ≤ 40 and 50 ≤ B ≤ 70

32 is because Maximum value of A = 40 and Give the remaining 43 and eventually B = 51 (valid range)

So, Least value = 0

IMO Option A

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In a survey conducted to find out the readership of three Newspapers A 11 Jun 2019, 11:55
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Bunuel
In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found that 8 people read all three newspapers. Find the minimum number of people who read both A and B but not C.

A. 0
B. 1
C. 2
D. 3
E. 5
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given
A 20-40 , B 50-70 , C: 70-83
At least two: 85
All: 8

no of people who read only two of the three newspapers: AB+AC+BC = 85-8 ; 77 ---- (1)

The maximum number of people who read BC and AC: AC+BC = 83-8 = 75 ---- (2)
(Assuming the maximum value of C equally assumes the minimum value of AB.)

(1)-(2) AB = 2
IMO C
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In a survey conducted to find out the readership of three Newspapers A 11 Jun 2019, 11:59
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Highlighted part is not given in the question, from where did you get that data?

Archit3110
Bunuel
In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found that 8 people read all three newspapers. Find the minimum number of people who read both A and B but not C.

A. 0
B. 1
C. 2
D. 3
E. 5

given
A 20-40 , B 50-70 , C: 70-83
At least two: 85
All: 8

no of people who read only two of the three newspapers: AB+AC+BC = 85-8 ; 77 ---- (1)
The maximum number of people who read BC and AC: AC+BC = 83-8 = 75 ---- (2)
(Assuming the maximum value of C equally assumes the minimum value of AB.)

(1)-(2) AB = 2
IMO C
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In a survey conducted to find out the readership of three Newspapers A 11 Jun 2019, 18:25
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Dillesh4096
Bunuel
In a survey conducted to find out the readership of three Newspapers A,B and C, it was found that the number of newspaper A is at least 20 and at most 40. The number of people who read newspaper B is at least 50 and at most 70. The number of people who read newspaper C is at least 70 and at most 83. It was also found that 8 people read all three newspapers. Find the minimum number of people who read both A and B but not C.

A. 0
B. 1
C. 2
D. 3
E. 5

Let the people who read A and B but not C = x (as shown)


For x to be minimum, We have to maximize C i.e, C = 83 and adjust 83 (as shown)


I would try to give the least value possible = 0 and try adjust A and B to fit the values given 20 ≤ A ≤ 40 and 50 ≤ B ≤ 70

32 is because Maximum value of A = 40 and Give the remaining 43 and eventually B = 51 (valid range)

So, Least value = 0

IMO Option A

Pls Hit kudos if you like the solution
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Bunuel

Can you pls explain why answer can’t be 0?
Question seems ambiguous.
Minimum has to be zero
OA says C!

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In a survey conducted to find out the readership of three Newspapers A 12 Jun 2019, 00:30
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Bunuel, would it be correct to assume that a fixed number of persons were surveyed and all of them read one or more of the three newspapers?

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This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
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Bunuel
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