Question

In the following questions, the symbols ©, $\delta ,\$,\ast and\%$, are used with the following meaning as illustrated below.
${}^{\prime }P\delta Q^{\prime }$ means 'P is not greater than Q'.
${}^{\prime }P\%Q^{\prime }$ means 'P is not smaller than Q'.
${}^{\prime }P\copyright Q^{\prime }$ means 'P is neither greater than nor smaller than Q'.
${}^{\prime }P\$Q^{\prime }$ means 'P is greater than Q'.
${}^{\prime }P\ast Q^{\prime }$ means 'P is smaller 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
$R\$J$
$J\%M$
$M\copyright K$

Conclusions
I. $K\copyright J$
II. $K\ast J$

• 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 E Both conclusions I and II are true

$P\delta Q\Rightarrow P\le Q$
$P\%Q\Rightarrow P\ge Q$
P © Q $\Rightarrow$ P = Q
$P\$Q\Rightarrow P>QP\ast Q\Rightarrow P<Q$
Statements:
R > J $\ge$ M, M = K
Conclusions:
I. $K=J$
II. $K<J$
So, Conclusions I and II are true.