Question

Directions: In the following questions, the symbols $\$,\%,\ast ,\delta$ and © are used with the following meaning as illustrated below.
${}^{\prime }P\%Q^{\prime }$ means 'P is not smaller than Q'.
${}^{\prime }P\ast Q^{\prime }$ means 'P is neither greater than nor equal to Q'.
${}^{\prime }P\delta Q^{\prime }$ means 'P is neither smaller than nor equal to Q'.
${}^{\prime }P\$Q^{\prime }$ means 'P is neither greater than nor smaller than Q'.
${}^{\prime }P\copyright Q^{\prime }$ means 'P is not 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 given is/are definitely true?

Statements:
$D\$T$
$T\%M$
$M\ast J$
Conclusions:
I. $J\delta D$
II. $M\copyright D$

• 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

Statements: $D\$T\Rightarrow D=T,T\%M\Rightarrow T\ge M,M\ast J\Rightarrow M<J$
Conclusions:
I. $J\delta D\Rightarrow J>D$ (False)
II. $M\copyright D$ $\Rightarrow M\le D$ (True)