# PE 3 - Venn Diagram | LR - Venn Diagram

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**Answer the next 5 questions based on the information given below.**

Out of a group of 490 toursits, 210 visited London, 190 visited Hong Kong and 190 visited Singapore. 30 of them visited all three cities, while 380 visited exactly one of the three cities. The number of toursits who visited exactly two out of the three cities is three times as many as those who did not visit any one of the three cities.

**PE 3 - Venn Diagram | LR - Venn Diagram**

How many toursits have not visited any one of the three cities?

- (a)
40

- (b)
20

- (c)
30

- (d)
50

- (e)
None of these

Answer: Option B

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**PE 3 - Venn Diagram | LR - Venn Diagram**

How many toursits visited not more than one city?

- (a)
100

- (b)
200

- (c)
300

- (d)
400

- (e)
None of these

Answer: Option D

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**PE 3 - Venn Diagram | LR - Venn Diagram**

If the number of toursits who have visited at least one of the two cities Hong Kong and Singapore is 330, how many toursits visited only Hong Kong and Singapore?

- (a)
40

- (b)
60

- (c)
20

- (d)
30

- (e)
50

Answer: Option C

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**PE 3 - Venn Diagram | LR - Venn Diagram**

If 360 toursits visited at least one of the two cities Hong Kong and London, how many toursits visited only Singapore?

- (a)
110

- (b)
80

- (c)
70

- (d)
120

- (e)
100

Answer: Option A

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**PE 3 - Venn Diagram | LR - Venn Diagram**

If there is nobody who visited only London and Singapore, how many people visited only Hong Kong?

- (a)
160

- (b)
180

- (c)
140

- (d)
120

- (e)
100

Answer: Option E

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**Answer the next 4 questions based on the information given below.**

In August, 740 tourists visited Madhya Pradesh. Each tourist went to at least one of the three places – Panchmari, Khajuraho or hanumantia.

Following information is known about these tourists.

- The number of tourists visiting Panchmari alone is equal to the tourists who also visited Khajuraho.
- The number of tourists visiting Khajuraho alone is double the number of tourists visiting all the three places.
- 340 tourists visited Hanumantia.
- The number of tourists visiting Hanumantia alone is twenty less than the number of tourists visiting Khajuraho alone.
- 200 tourists who visited Hanumantia also visited at least one more place.
- Of the three places, maximum number of tourists went to Panchmari.

**PE 3 - Venn Diagram | LR - Venn Diagram**

Based on the information given above, the minimum number of tourists visiting both Panchmari and Hanumantia, but not Khajuraho is:

Answer: 61

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**PE 3 - Venn Diagram | LR - Venn Diagram**

Which of the following additional information would enable to find the exact number of tourists visiting various places?

- (a)
400 tourists are visiting Panchmari

- (b)
80 tourists are visiting all the three places

- (c)
460 tourists are visiting exactly one

- (d)
No need for any additional information

Answer: Option A

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**PE 3 - Venn Diagram | LR - Venn Diagram**

Next year these tourists decided to visit the same places as they did last year with the following exceptions. The tourists who visited all the three places visited only two of the three places. As a result, 20 tourists opted out of the Hanumantia, 20 opted out of the Khajuraho, while the remaining ones visiting all the three places opted out of the Panchmari. Which of the following statements, then, necessarily follows?

- (a)
The lowest number of tourists is now in Hanumantia

- (b)
More tourists are now in Panchmari as compared to Khajuraho

- (c)
More tourists are now in Hanumantia as compared to Khajuraho

- (d)
None of the above

Answer: Option D

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**PE 3 - Venn Diagram | LR - Venn Diagram**

Next year these tourists decided to visit the same places as they did last year with the following exceptions. The tourists who visited all the three places visited only two of the three places. As a result, 20 tourists opted out of the Hanumantia, 20 opted out of the Khajuraho, while the remaining ones visiting all the three places opted out of the Panchmari.

Apart from the old tourists, some new tourists also visited Madhya Pradesh next year in August. Each of the new tourist visited only one place such that the number of tourists visiting each of the three places alone became identical. At this point, it was also found that the number of tourists visiting Panchmari and Khajuraho was the same as the number of tourists visiting Panchmari and Hanumantia. Which of the places now has the highest number of tourists?

- (a)
Khajuraho

- (b)
Panchmari

- (c)
Hanumantia

- (d)
Cannot be determined

Answer: Option B

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