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From 50 students taking examinations in mathematics, physics and chemistry,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. Find the largest possible number that could have passed all three exams.

A

11

B

12

C

13

D

14

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The correct Answer is:
D
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OBJECTIVE RD SHARMA-SETS-Exercise
  1. Let U be the universal set for sets A and B such that n(A) =200 ...

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  2. Out of 800 boys in a school, 224 played cricket, 240 played hockey and...

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  3. From 50 students taking examinations in mathematics, physics and chemi...

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  4. Let Z be the set of all integers and A={(a,b):a^(2)+3b^(2)=28 ...

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  5. In a class of 35 students , 17 have taken Mathematics , 10 have ta...

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  6. if A={(x,y):y=(4)/(x),xne0}and B= {(x,y):x^(2)+y^(2)=8,x,yin R},t...

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  7. if A={x:x is multiple of 4} and B= {x:x is a multiple of 6}, t...

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  8. if A={(x,y):x^(2)+y^(2)=4,x,y in R } and B={(x,y): x^(2)+y^(2)= 9,x,...

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  9. if A={(x,y):x^(2)+y^(2)=4, x,y in R }and B={(x,y):Y=|x|, x , y in ...

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  10. if A={theta: cos theta gt -(1)/(2),0 le theta le pi }and B={theta...

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  11. in rule method the null set is resresented by

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  12. if A and B are two given sets , then A cap (A capB) ^( C) is equal ...

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  13. Let n(Li) = 700 ,n(A) = 200,n( B) =300 and n(A cap B)=100 then n(A^( ...

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  14. if A ={x:x is a multiple of 3 } and , B={x:x is a multiple of 5 }...

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  15. For any three sets A1,A2, A3, let B1=A1, B2 = A2-A1 and B3 = A3-(A1uuA...

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  16. In a city 20% of the population travels by car, 50% by bus and 10% tra...

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  17. An investigator interviewed 100 students to determine the performan...

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  18. two finite sets have m and n elements . The total number of subs...

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  19. In a class of 175 students the following data shows the number of stu...

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  20. if A={1,2,3,4,5},B={2,4,6}and C={3,4,6}, then (Acup B) cap C is

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