Question

In a rehabitation programe, a group of 50 families were assured new houses and compensation by the government . Number of families who got both is equal to the number of families who got neither of the two. The number of families who got new house is 6 greater than the number of families who got compensation. How many families got houses?
A. 22
B. 28
C. 23
D. 25

Answer 1

Correct Answer - B
(i) Use Venn diagram:
(ii) Given data can be expressed as follows:

(iii) `(y+6)+(x)+(y)+(x)=50`
(iv) Number of families who got houses =x+y+6.
(ii) The given information can be expressed as

(iii) Total number of employees is 7x,i.e. a multiple of 7.