Question

In the following question, the relationship between different elements is shown in the statements. The statements are followed by conclusions. Choose the correct option
Statements
$A\le B<C;A\ge D;C\le F$
Conclusions
I. $D<C$
II. $F\ge D$

• 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 A Only conclusion I is true

Statements are $A\le V<C$ ...(i)
A $\ge$ D ...(ii)
C $\le$ F ...(iii)
From Eqs. (i) and (ii), we get
$D\le A\ge B<C$
$\therefore D<C$
So, conclusion I is true.
From Eqs. (i), (ii) and (iii), we get
$D\le A\ge B<C\le F$
$\therefore F>D$
So, conclusion II is false.