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 :

M $\subset$ P

S $ T

M @ T
Conclusions :

I. T $\ne$ P

II. S $\supset$ T

• 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

The correct option is A If only conclusions I is true

M $\subset$ P $\Rightarrow$ M = P
S $T$\Rightarrow$S>TM@T$\Rightarrow$M$\geq$T$\therefore$P=M$\geq$ T < S
Conclusion

I. T $\ne$ P $\Rightarrow$ T$\le$ P - True
II. S $\supset$ T $\Rightarrow$ S < T - Not True.
Hence conclusion I is true.

Option A