A survey was conducted to know the food choices of people.

Favourite Food Number of people
North Indian 50
Chinese 75
Italian 135
South Indian 40
Total 300

Find the difference of central angle of people who like Italian food and North Indian food.

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UP Police Assistant Operator Memory Based Full Test 3
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  1. 35° 
  2. 102° 
  3. 85° 
  4. 132° 

Answer (Detailed Solution Below)

Option 2 : 102° 
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UP Police Assistant Operator CT : हिन्दी (पर्यायवाची शब्द)
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Detailed Solution

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Given:

Total number of people = 300

People like Italian food = 135

People like North Indian food = 50

Calculation:

Difference of people like Italian food and North Indian food = 135 - 50 = 85

Central angle = Difference/Total number of people) × 360°  

⇒ Central angle = (85/300) × 360° 

∴  Central angle = 102° 

The difference of central angle of people who like Italian food and North Indian food is 102°

The correct option is 2 i.e. 102° 

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