Question

In the given questions, assuming the given statements to be true, find which of the conclusions numbered I and II is/are definitely true and choose your answer accordingly.

Statements:-
J $\ge$ O = Z, K $\le$ Q $<$ S
Conclusions:-
I. Q $>$ Z
II. S $\ge$ Z

• A. Neither conclusion I nor conclusion II is true
• B. Either conclusion I or II is true
• C. Only conclusion I is true
• D. Only conclusion I is true
• E. Both conclusions I and II are true

Answer 1

The correct option is A Neither conclusion I nor conclusion II is true

In the statements
$J<K\le O=Z$ ...(I)
$K\le Q<S$ ...(II)
In conclusion I, Q > Z
From Eqs. (I) and (II) We get
$Q\ge K\ge O=Z$ or $Q\ge K\ge Z$
Here, Q = Z and Q > Z
So, $Q\ge Z$
Hence, conclusion I is false.
In conclusion I II, $S\le Z$
$S>Q\ge K\ge O=Z$
Or $S>Q\ge K\ge Z$
Here, S > Z
So, conclusion II is false.
Hence neither conclusion I nor II is true.