Three thousand families live in a certain town. How many families who live in the town own neither a car nor a television set?

(1) Of the families who live in the town, 2,980 own a car.

(2) Of the families who live in the town, 2,970 own both a car and a television set.
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Archit3110

How did u assume the total number of families in the town?

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Shorub its given 3000 families live in a certain town

lacktutor

i solved quesiton using 2x2 matrix if you see #1
Of the families who live in the town, 2,980 own a car.
we get
---tv--- no tv----total
car-- --- --2980
no car--- ------ ---
total ----]----3000
insufficient

#2
Of the families who live in the town, 2,970 own both a car and a television set
---tv--- no tv----total
car-- 2970--- --2970
no car--- ------ --- 30
total ---- ----3000
again insufficient
from 1&2
---tv--- no tv----total
car--2970--10---2980
no car--- 10/20------ 10/0---20
total 2980----20/10----3000
sufficient
IMO E ; 20 /0 r

Total= A+B-Both A&B+Neither A nor B.

Given: Total: 3000
We have to calculate =Neither A nor B.

Statement1
All having car, few of them might have TV =A= 2980.
Not sufficient.

Statement: 2
Both having car and TV= A&B: 2970.

Statement 1+2
3000= 2980+B-2970+Neither A nor B.
Neither A nor B +B= 20
Now we don't know the value of B.

Not sufficient.
E is answer.

The answer would be E