Question
There are 50 students admitted to a nursery class. Some students can speak
only English and some can speak only Hindi. Ten students can speak both
English and Hindi. If the number of students who can speak English is 21, then
how many students can speak Hindi, how many can speak only Hindi and how
many can speak only English ?
Answer: Option A
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Let circles E and H represent students who can speak English and Hindi respectively. Number of students who can speak both English and Hindi = Y = 10 Number of students who can speak English = X + Y = 21 .jpg "Click to Enlarge Image")
Total number of students = X + Y + Z = 50 Number of students who can speak only English = X = (X + Y) - Y = 21 - 10 = 11 Number of students who can speak only Hindi = Z = (X + Y + Z) - (X + Y) = 50 - 21 = 29 Number of students who can speak Hindi = (Y + Z) = 10 + 29 = 39
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