In a village there are 300 people. They produce different crops, out of all people 190 people produce paddy, 160 people produce wheat and 100 people produce both paddy and wheat. Find the number of people who neither produce paddy nor wheat. 

In a village there are 300 people. They produce different crops, out of all people 190 people produce paddy, 160 people produce wheat and 100 people produce both paddy and wheat. Find the number of people who neither produce paddy nor wheat.  Correct Answer 50 

Given 

The total population of the village is 300 

Out of all people, 190 people produce paddy, 160 people produce wheat and 100 people produce both paddy and wheat.

Calculations :

[ alt="F1 Harshit 22.3.21 Pallavi D2" src="//storage.googleapis.com/tb-img/production/21/03/F1_Harshit_22.3.21_Pallavi_D2.png" style="width: 317px; height: 161px;">

Through this diagram, we can assume about the people associated with different crops 

Wheat(only) producers = 60, paddy(only) producers = 90 and Paddy and Wheat producers = 100 

Total people associated with production = 60 + 90 + 100 

⇒ 250 

People not associated with anything = 300 - 250 

⇒ 50 

∴ There are 50 people who neither produce paddy nor wheat.