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If X and Y are two sets such that X ∪ Y ...

If X and Y are two sets such that `X ∪ Y` has 18 elements, X has 8 elements and Y has 15 elements , how many elements does `X ∩ Y` have?

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OSWAAL PUBLICATION-SAMPLE PAPER 2-EXERCISE
  1. Let A and B be two sets such that n(A)=3 and n(B)=2,If (5,a),(6,b),(7,...

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  2. If A={2,5,7,9,11},B={7,9,11,13} and C={11,13,15},then find A nn (B uu ...

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  3. If X and Y are two sets such that X ∪ Y has 18 elements, X has 8 eleme...

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  4. Find the value of sin((31pi)/(3)).

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  5. Prove that: cos3x=4cos^(3)x-3cosx

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  6. Show that (-1,2,1),(1,-2,5),(4,-7,8) and(2,-3,4) are the vertices of p...

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  7. Express ((3+sqrt2i)(3-sqrt2 i))/((5-2i)-(5+2i)) in the form of a+ib.

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  8. The marks obtained by a student of Class XI in first and second termin...

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  9. Find the equation of the line, which makes intercepts -3 and 2 on X an...

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  10. Find the equation of the line passing through (-3, 5) and perpendicula...

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  11. Evaluate:underset( x rarr 0)lim (ax+xcos x)/(b sin x).

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  12. Write the contrapositive and converse of "If a paralleogram is a squar...

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  13. Two series A and B with equal means standard deviation 9 and 10 respe...

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  14. A coin is tossed 3 times.Events A and B are, A: no head appears,B:No t...

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  15. In a survey it was found that 21 people liked product A, 26 liked prod...

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  16. If A={1,2,3,4},B={5,6}.Define a relation R from A to B by R={(x,y):x i...

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  17. If sin x = 3/5, cos y =- (12)/(13), where x and y both lie in second q...

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  18. Convert (1+isqrt3)/2 into polar form.

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  19. 27x^(2) - 10x +1=0

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  20. Find the number of arrangements of the letters of the word PERMUTATION...

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