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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.Q3. If 60 uses TOSHIBA and SONY only, then how many uses only HP ?Question 20Answera.40b.30c.50d.25

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.Q3. If 60 uses TOSHIBA and SONY only, then how many uses only HP ?Question 20Answera.40b.30c.50d.25

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Solution

The total number of users is 200.

From the data, we know that:

  • 160 use Sony laptops
  • 100 use HP laptops
  • 90 use Toshiba laptops

We also know that:

  • 20 use all three brands
  • 60 use only Toshiba and Sony

To find the number of users who use only HP, we need to subtract the users who use other brands from the total HP users.

First, let's find the number of users who use Sony and/or Toshiba. This is the sum of Sony users and Toshiba users minus the users who use both (to avoid double-counting), which is 160 + 90 - 20 = 230.

However, this includes the 60 users who use only Toshiba and Sony, so we subtract these to get the number of users who use HP and/or another brand: 230 - 60 = 170.

Finally, we subtract this from the total number of users to get the number of users who use only HP: 200 - 170 = 30.

So, the answer is b. 30.

This problem has been solved

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