Out of 450 persons surveyed, 200 have visited Singapore, 210 visited Malaysia, 190 have been to Australia and 40 have not visited any of the three. Ninety have visited exactly two of the countries.QUESTION 03bookmark_borderSelect the correct answerIf 100 persons have visited Malaysia but not Australia, find the number of people who have visited Singapore and Australia only.radio_button_unchecked20radio_button_unchecked30radio_button_unchecked10radio_button_unchecked40radio_button_uncheckedCannot be determined
Question
Out of 450 persons surveyed, 200 have visited Singapore, 210 visited Malaysia, 190 have been to Australia and 40 have not visited any of the three. Ninety have visited exactly two of the countries.QUESTION 03bookmark_borderSelect the correct answerIf 100 persons have visited Malaysia but not Australia, find the number of people who have visited Singapore and Australia only.radio_button_unchecked20radio_button_unchecked30radio_button_unchecked10radio_button_unchecked40radio_button_uncheckedCannot be determined
Solution
Let's break down the information given:
- Total number of people surveyed = 450
- People who have visited Singapore = 200
- People who have visited Malaysia = 210
- People who have visited Australia = 190
- People who have not visited any of the three countries = 40
- People who have visited exactly two countries = 90
- People who have visited Malaysia but not Australia = 100
We are asked to find the number of people who have visited Singapore and Australia only.
First, let's find the total number of people who have visited at least one of the three countries. This is the total number of people surveyed minus the people who have not visited any of the three countries:
450 - 40 = 410 people
Next, let's find the total number of visits to the three countries. This is the sum of the people who have visited each country:
200 (Singapore) + 210 (Malaysia) + 190 (Australia) = 600 visits
Since each person who visited exactly two countries is counted twice in the total number of visits, we need to subtract the number of people who visited exactly two countries:
600 - 90 = 510 visits
Now, we know that 100 people visited Malaysia but not Australia. These people are either people who visited only Malaysia or people who visited both Malaysia and Singapore. Since we are looking for people who visited Singapore and Australia only, we can subtract these 100 people from the total number of visits:
510 - 100 = 410 visits
Finally, we subtract the total number of people who visited at least one country from the adjusted total number of visits. This gives us the number of people who visited Singapore and Australia only:
410 (people) - 410 (visits) = 0
So, none of the options given are correct. The correct answer is 0.
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