In a colony of 350 residents each can speak at least one language - English, Hindi and Telugu. How many residents can speak Hindi ?
I. 45 residents can speak all the three languages and 65 residents can speak exactly two of the three languages.
II. Each of English and Telugu is spoken by 140 residents.

Options

A. If the question can be answered using one of the statements alone, but cannot be answered using the other statement alone.
B. If the question can be answered using either statements alone.
C. If the question cannot be answered even using A and B together.
D. If the question can be answered using A and B together but not using A or B alone.

Answer

D

Explanation

The given information can be represented as folows.

a + b + c + d + e + f + g = 350
Using I alone, d + e + f = 65
g = 45
`therefore a + b + c = 240`.
I alone is not sufficient to find the number of persons who can speak Hindi.
Using II along
a + d + g + f = 140 and c + e + g + f = 140
`therefore` II alone is also not sufficient.
Combining both,
Exactly one + 2 Exactly two + 3 Exactly three = n (English) + n (Hindi) + n (Telugu).
240 + 2(65) + 3(45) = 140 + 140 + n (Hindi)
Number of residents who speak Hindi = 225.
`therefore` Both I and II are required.