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 :

G $ H

J $\ne$ K

H $\subset$ K
Conclusions:

I. G $ K
II. J $\subset$ K

• 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

G $H$\Rightarrow $G>HJ$\neq$K$\Rightarrow$J$\leq$KH$\subset$K$\Rightarrow$H=K$\therefore$G>H=K$\geq$ J
Conclusion

I. G $K$\Rightarrow$G>K-TrueII.J$\subset$K$\Rightarrow$ J = K -Not True.
Hence only conclusion I is true.