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:
$B\%D$
$D\ast T$
$T\delta R$
Conclusions
I. $B\$T$
II. $R\$D$

• 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 B Only conclusion II is 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: B $\ge$ D, D < T, T $\le$ R
Conclusions:
I. $B>T$
II. $R>D$
So, only conclusion II is true.