Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate…
Four-fifths of the villagers are under twenty-five and one-third are literate. Since \(\frac45+\frac13=\frac{17}{15}\), which is more than the whole village, the two groups…
Choose your answer
Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of the villagers are literate. Four-fifth of the villagers are below twenty five. Then, which one of the following is certainly true?
Answer and explanation
Correct answer B
Four-fifths of the villagers are under twenty-five and one-third are literate. Since , which is more than the whole village, the two groups must overlap by at least of the villagers, so some villagers under twenty-five must be literate. The other statements about house owners, paddy growers and literacy may or may not be true, because the data do not show how those groups overlap.
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NCHM Joint Entrance Examination (NCHM JEE)