1.
Statements: H ≥ T > S ≤ Q, T ≥ U = V > B

Conclusions: I. V > S II. B ≤ H

A.
If only conclusion I is true
B.
If only conclusion II is true
C.
If either conclusion I or II is true
D.
If neither conclusion I nor II is true
E.
If both conclusion I and II are true

Answer: Option
D

Explanation:

Given Statements:

H ≥ T > S ≤ Q ...(i)

T ≥ U = V > B ...(ii)

Combining (i) and (ii), we get

H ≥ T ≥ U = V > B

Check Conclusion II:
As we can see that the relationship between B & H clearly concludes that B is only less than H (B < H). Therefore C2 (B ≤ H) is not true.

Again, from (i) and (ii), we get

S < T ≥ U = V

Check Conclusion I:
As it's clear that inequlity signs are opposite, we therefore can't find a definite relationship between V & S. Hence CI (V > S) is not true.

2.
Statements: F > K ≥ L, R > K = H

Conclusions: I. H ≥ L II. R > F

A.
If only conclusion I is true
B.
If only conclusion II is true
C.
If either conclusion I or II is true
D.
If neither conclusion I nor II is true
E.
If both conclusion I and II are true

Answer: Option
A

Explanation:

Given Statements:

F > K ≥ L ...(i)

R > K = H ...(ii)

From (i) and (ii) , we get

F > K = H ≥ L

Check Conclusion I:
As the relation between H & L clearly confirms that H is greater than equal to L. Hence C1 is true.

Again, From (i) and (ii) , we get

F > K < R

Check Conclusion II:
As it's clear that inequlity signs are opposite, we therefore can't find a definite relationship between R & F.
Hence, C2 (R > F) is not true.

3.
Statements: A > B ≤ C = D ≤ E, C ≥ F = G > H

Conclusions: I. C < H II. A > H

A.
If only conclusion I is true
B.
If only conclusion II is true
C.
If either conclusion I or II is true
D.
If neither conclusion I nor II is true
E.
If both conclusion I and II are true

Answer: Option
D

Explanation:

Given Statements:

A > B ≤ C = D ≤ E ....(i)

C ≥ F = G > H ...(ii)

Combining (i) and (ii), we get

A > B ≤ C ≥ F = G > H

Check Conclusion I:
As the relation between C & H clearly confirms that C is greater than H while the given conclusion states that C is less than H.

Hence C1 does n't follow.

Check Conclusion II:
As it's clear that inequlity signs are opposite, we therefore can't find a definite relationship between A & H.

4.
Statement: R < O ≤ L ≤ E; G = E ≥ S; P ≤ S

Conclusions: I. O < G II. G = O

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

Answer: Option
B

Explanation:

Given statements: R < O ≤ L ≤ E ...(i)

G = E ≥ S ...(ii)

P ≤ S ...(iii)

Combining (i), (ii) and (iii) , we get

R < O ≤ L ≤ E = G ≥ S ≥ P

Check conclusions I and II:

Hence, either conclusion I or II is true.

5.
Statement: S ≤ P ≤ A = R > E ≤ D

Conclusions: I. A > D II. S ≤ E

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

Answer: Option
A

Explanation:

Given statement: S ≤ P ≤ A = R > E ≤ D

Check conclusion I:

Check conclusion II:
Hence,

neither conclusion I nor II is true.