Question

In the following questions the symbols $, @, ⊂, ⊃ and ≠ are used with the following meaning.

A $ B means A is greater than B

A @ B means A is either greater than or equal to B

A ⊂ B means is A is equal to B

A ⊃ B means A is smaller than B

A ≠ B means A is either smaller than or equal to B

Now assuming the given statements to be true, find which of the two conclusions I and II given below them is / are definitely true? Give answer.

Statements:

U $\supset$ V,

X $ W,

U $\supset$ W
Conclusions:

I.W $ V

II. U $\subset$ X

• A. If only conclusions I is true
• B. If only conclusions II is true
• C. If neither I nor II is true
• D. If both I and II are true,

Answer 1

Answer: (C)

If neither I nor II is true

U $\supset$ V $\Rightarrow$ U < V
X $W$\Rightarrow$X>WU$\supset$W$\Rightarrow$U<W$\therefore$ V > U < W < X
Conclusion

I. W $V$\Rightarrow$W>V-NotTrueII.U$\subset$X$\Rightarrow$ U = X -Not True.
Hence neither I nor II Conclusion is true.