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In an examination out of 100 students, 75 passed in English 60 passed in Mathematics and 45 passed in both English and Mathematics. What is the number of students passed in exactly one of the two subjects?

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Important Questions on Set Theory

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IMPORTANT
Shortcut in Quantitative Aptitude for Competition>Chapter 24 - Set Theory>Exercise>Q 6
In a car agency one day, 120 cars were decorated with three different accessories' viz., power window, AC and music system. 80 cars were decorated with power windows, 84 cars were decorated with AC and 80 cars were decorated with music systems. What are the minimum and the maximum number of cars which were decorated with all three accessories?
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Andhra Pradesh State Cooperative Bank Assistant
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Shortcut in Quantitative Aptitude for Competition>Chapter 24 - Set Theory>Exercise>Q 7
In an examination, 70% of the candidates passed in English, 65% in Mathematics, 27% failed in both the subjects. If 248 candidates passed in both the subjects, then find the total number of candidates?
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Shortcut in Quantitative Aptitude for Competition>Chapter 24 - Set Theory>Exercise>Q 8
Out of 800 boys in a school, 224 played cricket, 240 played hockey and 336 played basketball. Of the total, 64 played both basketball and hockey, 80 played cricket and basketball, 40 played cricket and hockey and 24 played all three games. The number of boys who did not play any game is:
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Andhra Pradesh State Cooperative Bank Assistant
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Shortcut in Quantitative Aptitude for Competition>Chapter 24 - Set Theory>Exercise>Q 9
From 50 students taking the examination in Mathematics, Physics and Chemistry, each of the students has passed in at least one of the subject, 37 passed Mathematics, 24 Physics and 43 Chemistry. At most 19 passed Mathematics and Physics, at most 29 Mathematics and Chemistry and at most 20 Physics and Chemistry. Then, the largest numbers that could have passed all three examinations are:
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Andhra Pradesh State Cooperative Bank Assistant
IMPORTANT
Shortcut in Quantitative Aptitude for Competition>Chapter 24 - Set Theory>Exercise>Q 10
A market research group conducted a survey of 2000 consumers and reported that 1720 consumers like product P1 and 1450 consumers like product P2. What is the least number that must have liked both the products?
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Andhra Pradesh State Cooperative Bank Assistant
IMPORTANT
Shortcut in Quantitative Aptitude for Competition>Chapter 24 - Set Theory>Exercise>Q 11
ln a town of 10000 families, it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% families buy newspaper C. 5% buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all of three newspapers, then the number of families which buy A only, is _____.
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Andhra Pradesh State Cooperative Bank Assistant
IMPORTANT
Shortcut in Quantitative Aptitude for Competition>Chapter 24 - Set Theory>Exercise>Q 12
A survey of 500 television viewers produced the following information. 285 watch football, 195 watch hockey, 115 watch basketball, 45 watch football and basketball, 70 watch football and hockey, 50 watch hockey and basketball, 50 do not watch any of the three games. The number of viewers, who watch exactly one of the three games are: