Subject
Quantitative Aptitude
Topic
Set
Among 150 students of Accounting, 60 are expert in playing football, 75 in cricket and 60 both in football and cricket. How many students are not expert in playing football and cricket?
Among 150 students of Accounting, 60 are expert in playing football, 75 in cricket and 60 both in football and cricket. How many students are not expert in playing football and cricket?
ক)
7খ)
75গ)
30ঘ)
120Explanation
ধরি, F = ফুটবল খেলতে দক্ষ শিক্ষার্থীদের সেট C = ক্রিকেট খেলতে দক্ষ শিক্ষার্থীদের সেট n(U) = মোট শিক্ষার্থীর সংখ্যা = ১৫০ n(F) = ফুটবল খেলতে দক্ষ শিক্ষার্থীর সংখ্যা = ৬০ n(C) = ক্রিকেট খেলতে দক্ষ শিক্ষার্থীর সংখ্যা = ৭৫ n(F∩C) = ফুটবল ও ক্রিকেট উভয় খেলায় দক্ষ শিক্ষার্থীর সংখ্যা = ৬০ আমরা জানি, n(F∪C) = n(F)+n(C)−n(F∩C) বা, n(F∪C) = 60+75−60 বা, n(F∪C) = 135−60 বা, n(F∪C) = 75 যারা কোনো খেলায় দক্ষ নয় তাদের সংখ্যা = n(U)−n(F∪C) = ১৫০ - ৭৫ = ৭৫ অতএব, ৭৫ জন শিক্ষার্থী ফুটবল এবং ক্রিকেট কোনো খেলাতেই দক্ষ নয়।Related questions
Of the 30 applicants for a job, 14 had at least 4 years experience, 18 had degrees and 3 had less than 4 years experience and did not have a degree. How many of the applicants had at least 4 years experience and a degree?There are ‘e’ students in a school studying English and ‘a’ students studying Arabic. How many students study English and Arabic or both if ‘b’’ students study both?From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?In a class of 78 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course?If A = {1, 2, 3, 4} and B = {3, 4, 5, 6}, Which of the following is true?Of the 200 seniors at Monroe High School, exactly 40 are in the band, 60 are in the orchestra and 10 are in both. How many students are in neither band nor the orchestra?In a class of 24 students, one half of the students liked movie A and one-third liked movie B and one fourth liked both the movies. How many students liked neither of the movies?In a survey, 60% of those surveyed owned mobile phone and 80% of those surveyed owned a TV. If 55% owned both a mobile phone and TV. What percent of those surveyed owned a mobile phone or a TV or both?