Difficult Puzzle! In a class consisting of 100 students 20 know English and 20 do not know Hindi and 10 know neither English nor Hindi...In a class consisting of 100 students 20 know English and 20 do not know Hindi and 10 know neither English nor Hindi. How many students know both Hindi and English?
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Draw a venn diagram for clearly understanding the numbers and sets.
See diagram and then understand the solution.
let A = set of students knowing English only.
B = set of those knowing English and Hindi.
C = set of those knowing only Hindi
D = set of those who know neither.
A+B+C+D = 100 total. given
A+B = 20 English. given
those not knowing Hindi = 20 given
B+C = those knowing Hindi = 100 - 20 = 80
D = 10 given
A+B+ B+C + D = 20 + 80 + 10 = 110
=> A + 2 B + C + D = 110
So B = 10 this is the answer
See diagram and then understand the solution.
let A = set of students knowing English only.
B = set of those knowing English and Hindi.
C = set of those knowing only Hindi
D = set of those who know neither.
A+B+C+D = 100 total. given
A+B = 20 English. given
those not knowing Hindi = 20 given
B+C = those knowing Hindi = 100 - 20 = 80
D = 10 given
A+B+ B+C + D = 20 + 80 + 10 = 110
=> A + 2 B + C + D = 110
So B = 10 this is the answer
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