Sets Test - 43...

Choose the correct answer from the given four options
Which of the following collection doesn't form a set

Find the correct option for the given question.
Which of the following collections is a set?

If $$ \cap = \left \{ 1, 2, 3, 4, 5, 6   \right \}, A = \left \{ 2, 3 \right \} $$ and $$B = \left \{ 3, 4, 5  \right \}$$ then :

If $$A=\left [ \frac{5}{111} \frac{-3}{336}\right ]$$ and det $$(-3A^{2013}+A^{2014})=\alpha ^{\alpha }\beta ^{2}(1+\gamma +\gamma ^{2})$$ then, where $$\alpha ,\beta ,\gamma $$ are integers

$$A - (B \cup C)= $$

Which of the following statements is true (if N, W and I are sets of Natural, Whole and Integer numbers respectively ?

S = {1, 2, 3, 5, 8, 13, 21, 34 }. Find $$\displaystyle \sum $$ max (A), where the sum is taken over all 28 elements subsets A to S.

There are 6 boxes numbered 1, 2, ... 6. Each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered. The total number of ways in which this can be done is:

If $$S$$ represents the set of all real numbers $$x$$ such that $$1\le x \le 3$$ and $$T$$ represents the set of all real numbers $$x$$ such that $$2 \le x \le 5$$, the set represented by $$S \cap T$$ is

In a town of $$10,000$$ families it was found that $$40\%$$ families buy newspaper $$A$$, $$20\%$$ families buy newspaper $$B$$ and $$10\%$$ families buy newspaper $$C$$. $$5\%$$ families buy $$A$$ and $$B$$, $$3\%$$ buy $$B$$ and $$C$$ and $$4\%$$ buy $$A$$ and $$C$$. If $$2\%$$ families buy all the three newspaper, find the number of families which buy (i) $$A$$ only (ii) $$B$$ only (iii) none of $$A, B$$ and $$C$$