In a group of 120 persons, 80 are Indians and rest are foreigners. Further, 70 persons in the group can speak English, The number of Indians who can speak English is
- A20
- B30
- C30 or less
- D30 or moreCorrect
Explanation
Let's break down the problem:
- Total persons = 120
- Indians = 80
- Foreigners = Total persons - Indians = 120 - 80 = 40
- Persons who can speak English = 70
Let 'X' be the number of Indians who can speak English.
To find the minimum possible value for 'X', we assume the maximum possible number of foreigners speak English.
- The maximum number of foreigners who can speak English is 40 (since there are only 40 foreigners in total).
- If 40 foreigners speak English, then the remaining English speakers must be Indians.
- Number of Indians who can speak English = Total English speakers - Foreigners who speak English = 70 - 40 = 30.
So, at least 30 Indians must be able to speak English. This means X >= 30.
Now let's consider the maximum possible value for 'X'.
- The number of Indians who can speak English cannot exceed the total number of Indians (80).
- The number of Indians who can speak English cannot exceed the total number of English speakers (70).
- Therefore, X <= 70.
Combining these, the number of Indians who can speak English (X) is between 30 and 70 (inclusive). 30 <= X <= 70.
Let's evaluate the options:
- A) 20: This is less than 30, so it's not possible.
- B) 30: This is a possible value, but not the full range or description.
- C) 30 or less: This contradicts our finding that X must be at least 30.
- D) 30 or more: This correctly states the minimum possible number of Indians who can speak English, covering the entire range from 30 up to 70.
The final answer is D.

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