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:
$D\delta N$
$N\ast K$
$K\delta D$
Conclusions:
I. $D@N$
II. $H\ast K$

• 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

Statements: $D\delta N\Rightarrow H\le N,N\ast K,N<K,K\delta D\Rightarrow K\le D$ ,
So, $H\le N<K\le D$
Conclusions:
I. D @ N $\Rightarrow D>N$ (True)
II. $H\ast K\Rightarrow H<K$ (True)
So, I and II are true.