Question

Directions: In the following questions, the symbols @, ©$\$,\ast$ and $\%$ are used with the following meaning as illustrated below.
${}^{\prime }P\copyright Q^{\prime }$ means 'P is smaller than Q'.
${}^{\prime }P@Q^{\prime }$ means 'P is greater than Q'.
${}^{\prime }P\ast Q^{\prime }$ means 'P is either smaller than or equal to Q'.
${}^{\prime }P\%Q^{\prime }$ means 'P is either greater than or equal to Q'.
${}^{\prime }P\$Q^{\prime }$ means 'P is neither smaller than nor greater than Q'.
Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II is/are definitely true?

Statements:
$M\%T$
$T\$K$
$K\copyright N$
Conclusions:
I. $K\$M$
II. $K\copyright M$

• A. Only conclusion I is true
• B. Only conclusion II is true
• C. Either conclusion I or II is true
• D. Neither conclusion I nor II is true
• E. Both conclusions I and II are true

Answer 1

The correct option is C Either conclusion I or II is true

$$\begin{array}{ccc}P\copyright Q\Rightarrow P<Q& P@Q\Rightarrow P>Q& P\ast Q\Rightarrow P\le Q\\ P\%Q\Rightarrow P\ge Q& P\$Q& \end{array}$$
Statements: $M\%T\Rightarrow M\ge T,T\$K\Rightarrow T=K$ K © N $\Rightarrow K<N$
So, $M\ge T=K<N$
Conclusions:
I. $K\$M\Rightarrow K=M$ (True)
II. $K\copyright M$ $\Rightarrow K<M$ (True)
So, either Conclusion I or II is true from the given statements.