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Suppose A(1),A(2),…,A(30) are 30 sets ea...

Suppose `A_(1),A_(2),…,A_(30)` are 30 sets each with 5 elements and `B_(1),B_(2),…,B_(n)` are n sets each with 3 elements. Let `underset(i=1)overset(30)uu A_(i)=underset(j=1)overset(n)uu B_(j)` Assume that each element of S belongs to exactly ten `A_(i)`' s and to exactly nine of the `B_(j)`'s then n =

A

15

B

135

C

45

D

90

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-SETS ( APPENDIX - 1)-EXERCISE
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  2. A = {(x,y) : y = 1//x,0 ne x in R} , B = {(x, y) : y = - x, x in R} th...

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

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

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  6. Which of the following is an empty set

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

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

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

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

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

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  12. Two finite sets have m and n elements. The total number of subsets of ...

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  13. If A and B have 3 and 6 elements then the minimum number of elements i...

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  14. In a class of 55 students, the number of students studying different s...

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  15. In a class of 100 students, 55 students have passed in Mathematics and...

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  16. Out of 800 boys in a school , 224 played cricket, 240 played hookey a...

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  17. The set of intelligent students in a class is

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  18. In a certain town 25% families own a phone and 15% own a car, 65% fami...

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  19. In a city 20 percent of the population travels by car, 50 percent trav...

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  20. In a battle 70% of the combatants lost one eye, 80% an ear, 75% an ar...

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