Question : Direction: In the following question, study the following diagram carefully and answer the question based on it.
The diagram shows the survey on a sample of 1000 persons concerning their knowledge of English, Hindi, and Marathi. How many know all the languages?
Option 1: 105
Option 2: 85
Option 3: 78
Option 4: 175
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Correct Answer: 175
Solution : Given:
From the figure, the following can be deduced:
The number of persons knowing Marathi only = 170,
The number of persons knowing English only = 180,
The number of persons knowing Hindi only = 200,
The number of persons knowing both English and Marathi = 105,
The number of persons knowing both Hindi and Marathi = 85,
The number of persons knowing both Hindi and English = 78,
The number of persons knowing all three languages (Hindi, English, and Marathi) = 175
Therefore, the total number of persons knowing all three languages (Hindi, English, and Marathi) = 175
Hence, the fourth option is correct.
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