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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 . The largest possible number that could have passed all three exams is

A

10

B

12

C

9

D

14

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-SETS ( APPENDIX - 1)-EXERCISE
  1. An investigator interviewed 100 students to determine their preference...

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  2. In a twon of 10,000 families it was found that 40% families buy newspa...

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

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  4. Which of the following statements is true ?

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  5. The shaded area in the figure is

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  6. The shaded area in the figure is

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  7. A = {x : x in R, x ge 2}, B = {x : x in R , x lt 4} " then " A cap B =

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  8. A = {x : x in R, |x| lt 1}, B = {x : x in R,| x - 1| ge 1} " and " A c...

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  9. A = {8^(n) - 7n - 1 : n in N}, B = {49(n-1) : n in N } then

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  10. If X = {4^(n) - 3n - 1: n in N} " and " Y = {9(n-1): n in N}, where N ...

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  11. A = {(x,y) : y = 1//x,0 ne x in R} , B = {(x, y) : y = - x, x in R} th...

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  12. A = {x : cos x gt - 1//2, 0 le x le pi}, B = {x : sin x gt 1//2,pi//3 ...

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  13. If aN = {ax : x in N} " then " 3N cap 7N =

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  14. If aN = {ax : x in N} " and " bN cap cN = dN " where " b,c in N are ...

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  15. Which of the following is an empty set

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  16. The smallest A such that A cup {1,2} = {1,2,3,5,9} is

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  17. In a college of 300 students, every student reads 5 newspapers and eve...

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  18. Consider the set A of all determinants of order 3 with entries 0 or 1 ...

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  19. Suppose A(1),A(2),…,A(30) are 30 sets each with 5 elements and B(1),B(...

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  20. If A = { Ø, {Ø}} then the power set of A is

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