Read the following information carefully and answer the 4 questions.A survey was conducted among 200 users of laptops of different companies. It was found that 160 use laptops of SONY, 100 use laptops of HP and 90 use laptops of TOSHIBA. 20 use laptops of all the three companies and each one uses laptops of at least one of the three companies.Q1. How many use laptops of only one company ?Question 18Answera.95b.105c.80d.70
Question
Read the following information carefully and answer the 4 questions.A survey was conducted among 200 users of laptops of different companies. It was found that 160 use laptops of SONY, 100 use laptops of HP and 90 use laptops of TOSHIBA. 20 use laptops of all the three companies and each one uses laptops of at least one of the three companies.Q1. How many use laptops of only one company ?Question 18Answera.95b.105c.80d.70
Solution
To solve this problem, we first need to understand that the total number of laptop users is 200.
From the given data, we know that:
- 160 users use SONY laptops
- 100 users use HP laptops
- 90 users use TOSHIBA laptops
This adds up to 350 users, but since we know that there are only 200 users, this means that some users are counted more than once because they use laptops from more than one company.
We also know that 20 users use laptops from all three companies.
To find out how many users use laptops from only one company, we need to subtract the number of users who use laptops from more than one company from the total number of users.
First, let's subtract the 20 users who use all three brands from each brand's total:
- SONY: 160 - 20 = 140
- HP: 100 - 20 = 80
- TOSHIBA: 90 - 20 = 70
This gives us a new total of 290 users. But we know that there are only 200 users, so this means that 90 users are being counted twice because they use laptops from two companies.
To correct for this, we divide the 90 by 2 to get 45. These are the users who use laptops from two companies.
So, to find the number of users who use laptops from only one company, we subtract the number of users who use all three brands and the number of users who use two brands from the total number of users:
200 (total users) - 20 (users who use all three brands) - 45 (users who use two brands) = 135
So, 135 users use laptops from only one company.
Therefore, none of the options (a.95, b.105, c.80, d.70) is correct.
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