Statement
L = M ≥ N;
M > P;
L < K ;
On combing both the statements, we get
P < L = M ≥ N < k
Conclusions
I. K > P         (false)
II. N < K       (true)

Correct Option: B

Statement
L = M ≥ N;
M > P;
L < K ;
On combing both the statements, we get
P < L = M ≥ N < k
Conclusions
I. K > P         (false)
II. N < K       (true)
Hence, only Conclusions II is definitely true.

Statement
U > A = I ≤ O < E
Conclusions
I. I ≤ E       (false)
II. O > U     (false)

Correct Option: D

Statement
U > A = I ≤ O < E
Conclusions
I. I ≤ E       (false)
II. O > U     (false)
Hence, neither Conclusion I nor II is definitely true.

Statement
A ≤ B < C ;
A ≥ D ;
C ≤ F ;
On combining both the statements, we get
D ≤ A ≤ B < C ≤
Conclusions
I. D < C           (true)
II. F ≥ D       (false)
Hence, only conclusion I is definitely true.

Correct Option: A

Statement
A ≤ B < C ;
A ≥ D ;
C ≤ F ;
On combining both the statements, we get
D ≤ A ≤ B < C ≤
Conclusions
I. D < C           (true)
II. F ≥ D       (false)
Hence, only conclusion I is definitely true.

Statements
P < Q = R ≥ S ≥ T
Conclusions
I. T ≤ Q
II. R > P

Correct Option: E

Statements
P < Q = R ≥ S ≥ T
Conclusions
I. T ≤ Q         (true)
II. R > P       (true)
Hence, both conclusions are definitely true.

Given that,
D > E ≤ F ............(i)
J < F ......................(ii)
On combining the statements (i) and (ii), we get
D > E ≤ F > J
Conclusions
I. D > J
II. E < J

Correct Option: D

Given that,
D > E ≤ F ............(i)
J < F ......................(ii)
On combining the statements (i) and (ii), we get
D > E ≤ F > J
Conclusions
I. D > J        (false)
II. E < J         (false)

So, it is clear that neither Conclusion I nor II is true