Question

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

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

• 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 B Only conclusion II is true

Statements: $R\ast M\Rightarrow R<M,M\$B\Rightarrow M=B,B\%T\Rightarrow B\ge T$
So, $R<M=B\ge T$
Conclusions:
I. $R\ast T\Rightarrow R<T$ (False)
II. $T\delta M\Rightarrow T\le M$ (True)
So, II is true.