Out of the 600 guests invited to the New Year's party, 250 opted for Indian food, 175 had Italian food, and 100 had Continental food. Additionally, 15 guests had both Indian and Italian food, 10 had both Italian and Continental food, and 20 had both Indian and Continental food. Seven guests had all three types of food. How many guests did not attend the party?

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  1. 113
  2. 120
  3. 136
  4. 145

Answer (Detailed Solution Below)

Option 1 : 113
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Detailed Solution

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Given:

Total guests invited = 600

Number of guests who had Indian food = 250

Number of guests who had Italian food = 175 

Number of guests who had continental food = 100

Number of guests who had both Indian and Italian food = 15

Number of guests who had both Italian and Continental food = 10

Number of guests who had both Indian and Continental food = 20

Number of guests who had all three types of food = 7

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Number of guests who did not attend ⇒ 600 - (250 + 175 + 100 - 10 - 20 - 15 + 7)

⇒ 600 - 487

⇒ 113

Hence, "Option 2" is the correct answer.

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