Given Statements: A > L < M; L ≥ P > R; A < O

On Combining:O > A > L ≥ P > R; O > A > L < M

Conclusions:

I. M ≤ O → False (As, O > A > L < M → Clear relation between M and O cannot be determined)

II. R  > A → False (As, L ≥ P > R)

Hence, none of the conclusion follows.

Given Statements: P > Q = R; S < T ≥ U; T < R

On Combining: S < T < R = Q < P; U ≥ T < R = Q < P

Conclusions:

I. T ≥ U → True

II. S < R → True (As, S < T < R → S < R or R > S)

Hence, both the conclusion I and II are true

Given statements: H = M, M ≤ T, T > D

On combining: H = M ≤ T > D

Conclusions:

I. D < M → False (M ≤ T > D) (As clear relation between D & M cannot be determined)

II. T ≥ H → True (H = M ≤ T → T ≥ H)

III. D < H → False (H = M ≤ T > D) (As clear relation between D & H cannot be determined)

Hence, only conclusion II follows.

Let us check each option:

1) S < W = P < R → W < R

2) S ≥ W ≤ P > R → relation between W and R can’t be determined.

3) S ≥ W > P = R → W > R

4) S = W < P > R → relation between W and R can’t be determined.

Hence, the correct sequence of symbols to satisfy the given condition is “≥, >, =”.

Given statement: __ >  __ ≥ B ≥ D ≤ E < __

1) F, C, G → F > C ≥ B ≥ D ≤ E < G (This gives C≥ D)

2) F, G, C → F > G ≥ B ≥ D ≤ E < C (This gives D < C)

3) C, G, F → C > G ≥ B ≥ D ≤ E < F (This gives C > D)

Given Statements: A = B > C; C < S; G < H < C

On Combining: A = B > C < S; G < H < C < B = A

Conclusions:

I. A > S → False (As, A = B > C < S → Clear relation between A and

S cannot be determined)

II. H = A → False (As, H < C < B = A → H < A or A > H)

Hence, none of the conclusion is true

Given that, B = R ≤ T

So, either R < T or B = T is true.

Hence option 5 is correct.

Given: ‘L > G’

Conclusions:

1) L > I ≥ P < G ≤ A → False (as L > I ≥ P < G → clear relation between L & G cannot be defined)

2) G ≤ P = I < L ≤ A → True (as G ≤ P < L → L > G)

3) G ≤ I = P < A ≤ L → True (as G ≤ I < A ≤ L → L > G)

4) A ≤ G < I > L = P → False (as G < I > L → clear relation between L & G cannot be defined)

Given Statements: L > M ≥ N; K ≥ W

On Combining: L > M ≥ N = K ≥ W

Conclusions:

I. O > W → True (As, W W)

II. L ≥ K → False (As, L > M ≥ N = K → L > K or K < L)

Hence, only conclusion I is true

Let us check each option:

1) N = K = L < P < M → K < M.

2) N = K = L ≤ P = M → K ≤ M.

3) N = K = L ≤ P < M → K < M.

4) N = K = L < P ≤ M → K < M.

Statement: M < R = Q < N > C, N < H < T

Conclusions:

(I): R > C → False (According to the given information, no relation found between R and C, hence the conclusion is false)

(II): Q = M → False (According to the given information, Q is greater than or equal to M, hence the given conclusion is false)

(III): N > M→ True (N is greater than M, hence conclusion is true)

Hence, the correct answer is if conclusion III follows.

According to the information:

By combining all statements:          

Here two conditions are form-

C > F < R

C > F > T < K

Conclusions:

(I): C > T → true (C is greater than T, hence the conclusion is true)

(II): R < K → false (no relation found between R and K, hence the given conclusion is false)

(III): K < R → false (no relation found between K and R)

Conclusion II and III are complementary pair.

Hence, the correct answer is conclusion I and either conclusion II and III follows.

Given Statements: A > B ≥ C > D; G < E ≤ F; F = D

On Combining: A > B ≥ C > D = F ≥ E > G

Conclusions:

I. C ≥ E → False (As, C > D = F ≥ E → C > E)

II. A < G → False (As, A > B ≥ C > D = F ≥ E > G → A > G)

Hence, none of the conclusion is true.

Given statements: W = T ≤ R > Y = O

On analyzing the conditions, it can be figured out that clear relation between W and O cannot be determined.

Therefore, no relation can be specified.

Given Statements: H < L ≥ M; M > N = O > R; P = Q > R

On Combining: H < L ≥ M > N = O > R < Q = P

Conclusions:

I. P ≥ O → False (As, N = O > R < Q = P → Clear relation between P and O cannot be determined)

II. R < P → True (As, R < Q = P )

Hence, Only II is true