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In an amusement park along with the entry pass a visitor gets two of the three available rides (A, B and C) free. On a particular day 77 opted for ride A, 55 opted for B and 50 opted for C; 25 visitors opted for both A and C, 22 opted for both A and B, while no visitor opted for both B and C. 40 visitors did not opt for ride A and B, or both. How many visited with the entry pass on that day?
- a)102
- b)115
- c)130
- d)150
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In an amusement park along with the entry pass a visitor gets two of t...
Let the Venn diagram be as shown in the figure,
No one can take all three rides, hence g = 0.
No one can take all three rides, hence g = 0.
22 people take rides A and B,
∴ d = 22
∴ d = 22
25 people take rides A and C,
∴ f = 25
∴ f = 25
50 people take ride C,
∴ c = 50 – 25 = 25.
∴ c = 50 – 25 = 25.
40 people don’t take A or B or both,
∴ 40 = c + h
⇒ h = 40 – 25 = 15
∴ 40 = c + h
⇒ h = 40 – 25 = 15
∴ Total number of people visiting the park = (77 + 55 + 50 – 25 – 22) + 15 = 150.
Hence, option (d).
Most Upvoted Answer
In an amusement park along with the entry pass a visitor gets two of t...
To solve this problem, we can use the principle of inclusion-exclusion. We will start by finding the total number of visitors who opted for at least one of the rides.
Step 1: Find the total number of visitors who opted for at least one of the rides.
Let's denote the number of visitors who opted for ride A as A, for ride B as B, and for ride C as C. We are given the following information:
A = 77 (opted for ride A)
B = 55 (opted for ride B)
C = 50 (opted for ride C)
A ∩ C = 25 (opted for both A and C)
A ∩ B = 22 (opted for both A and B)
Using these values, we can find the total number of visitors who opted for at least one of the rides:
Total = A + B + C - (A ∩ C) - (A ∩ B) + (Neither A nor B nor C)
Total = 77 + 55 + 50 - 25 - 22 + 40
Total = 175
So, the total number of visitors who opted for at least one of the rides is 175.
Step 2: Find the number of visitors who did not opt for any ride.
From the given information, we know that 40 visitors did not opt for ride A and B, or both. Let's denote the number of visitors who did not opt for any ride as N.
N = 40
Step 3: Find the number of visitors who visited with the entry pass.
The number of visitors who visited with the entry pass is the total number of visitors minus the number of visitors who did not opt for any ride.
Visitors with entry pass = Total - N
Visitors with entry pass = 175 - 40
Visitors with entry pass = 135
Therefore, the correct answer is option D) 150.
Step 1: Find the total number of visitors who opted for at least one of the rides.
Let's denote the number of visitors who opted for ride A as A, for ride B as B, and for ride C as C. We are given the following information:
A = 77 (opted for ride A)
B = 55 (opted for ride B)
C = 50 (opted for ride C)
A ∩ C = 25 (opted for both A and C)
A ∩ B = 22 (opted for both A and B)
Using these values, we can find the total number of visitors who opted for at least one of the rides:
Total = A + B + C - (A ∩ C) - (A ∩ B) + (Neither A nor B nor C)
Total = 77 + 55 + 50 - 25 - 22 + 40
Total = 175
So, the total number of visitors who opted for at least one of the rides is 175.
Step 2: Find the number of visitors who did not opt for any ride.
From the given information, we know that 40 visitors did not opt for ride A and B, or both. Let's denote the number of visitors who did not opt for any ride as N.
N = 40
Step 3: Find the number of visitors who visited with the entry pass.
The number of visitors who visited with the entry pass is the total number of visitors minus the number of visitors who did not opt for any ride.
Visitors with entry pass = Total - N
Visitors with entry pass = 175 - 40
Visitors with entry pass = 135
Therefore, the correct answer is option D) 150.
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In an amusement park along with the entry pass a visitor gets two of the three available rides (A, B and C) free. On a particular day 77 opted for ride A, 55 opted for B and 50 opted for C; 25 visitors opted for both A and C, 22 opted for both A and B, while no visitor opted for both B and C. 40 visitors did not opt for ride A and B, or both. How many visited with the entry pass on that day?a)102b)115c)130d)150Correct answer is option 'D'. Can you explain this answer?
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In an amusement park along with the entry pass a visitor gets two of the three available rides (A, B and C) free. On a particular day 77 opted for ride A, 55 opted for B and 50 opted for C; 25 visitors opted for both A and C, 22 opted for both A and B, while no visitor opted for both B and C. 40 visitors did not opt for ride A and B, or both. How many visited with the entry pass on that day?a)102b)115c)130d)150Correct answer is option 'D'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about In an amusement park along with the entry pass a visitor gets two of the three available rides (A, B and C) free. On a particular day 77 opted for ride A, 55 opted for B and 50 opted for C; 25 visitors opted for both A and C, 22 opted for both A and B, while no visitor opted for both B and C. 40 visitors did not opt for ride A and B, or both. How many visited with the entry pass on that day?a)102b)115c)130d)150Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an amusement park along with the entry pass a visitor gets two of the three available rides (A, B and C) free. On a particular day 77 opted for ride A, 55 opted for B and 50 opted for C; 25 visitors opted for both A and C, 22 opted for both A and B, while no visitor opted for both B and C. 40 visitors did not opt for ride A and B, or both. How many visited with the entry pass on that day?a)102b)115c)130d)150Correct answer is option 'D'. Can you explain this answer?.
In an amusement park along with the entry pass a visitor gets two of the three available rides (A, B and C) free. On a particular day 77 opted for ride A, 55 opted for B and 50 opted for C; 25 visitors opted for both A and C, 22 opted for both A and B, while no visitor opted for both B and C. 40 visitors did not opt for ride A and B, or both. How many visited with the entry pass on that day?a)102b)115c)130d)150Correct answer is option 'D'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about In an amusement park along with the entry pass a visitor gets two of the three available rides (A, B and C) free. On a particular day 77 opted for ride A, 55 opted for B and 50 opted for C; 25 visitors opted for both A and C, 22 opted for both A and B, while no visitor opted for both B and C. 40 visitors did not opt for ride A and B, or both. How many visited with the entry pass on that day?a)102b)115c)130d)150Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In an amusement park along with the entry pass a visitor gets two of the three available rides (A, B and C) free. On a particular day 77 opted for ride A, 55 opted for B and 50 opted for C; 25 visitors opted for both A and C, 22 opted for both A and B, while no visitor opted for both B and C. 40 visitors did not opt for ride A and B, or both. How many visited with the entry pass on that day?a)102b)115c)130d)150Correct answer is option 'D'. Can you explain this answer?.
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