Directions: In these questions, relationship between different elements is shown in the various statements which are followed by three conclusions. Choose the correct answer on the basis of information given below.
1
Statements:  D ≥ S , X < W, S = J, W > Y, X > D, Y ≤ O, J ≥ E

Conclusions: (i) D > E   (ii) D = E   (iii) O > S
» Explain it
D
Statements:  D ≥ S , X < W, S = J, W > Y, X > D, Y ≤ O, J ≥ E

Conclusions: (i) D > E   (ii) D = E   (iii) O > S

By combining all the statements, we get the following equation:

≥ Y < W > X > D ≥ S = J ≥ E

For conclusion (i): D > E

Here, the common sign between D and E is '≥'. Thus D ≥ E.

Hence conclusion (i) does not follow individually.

For conclusion (ii): D = E

Here, the common sign between D and E is '≥'. Thus D ≥ E.

Thus conclusion (ii) does not follow individually.

On combining conclusions I and II we get "D ≥ E".

Therefore either conclusion (i) or (ii) follows.

For conclusion (iii): O > S

Here we can see the opposite signs between O and S, thus no relationship can be established between them.

Therefore conclusion (iii) does not follow.

Hence option D is correct.

2
Statements:  W < X, Y = Z , V < U, X > Z, G ≥ Y, W > U, H = V

Conclusions: (i) G > X   (ii) W > H   (iii) Y = H
» Explain it
C
Statements:  W < X, Y = Z , V < U, X > Z, G ≥ Y, W > U, H = V

Conclusions: (i) G > X   (ii) W > H   (iii) Y = H

By combining all the statements, we get the following equation:

G ≥ Y = Z < X > W > U > V = H

For conclusion (i): G > X

Here we can see the opposite signs between G and X, thus no relationship can be established between them.

Hence conclusion (i) does not follow.

For conclusion (ii): W > H

Here, the common sign between W and H is '>'. Thus W > H.

Thus conclusion (ii) follows.
 
For conclusion (iii): Y = H

Here we can see the opposite signs between Y and H, thus no relationship can be established between them.

Therefore conclusion (iii) does not follow.

Hence option C is correct.

3
Statements:  P < K, B ≥ D, K = E, H > B, P ≤ G, E > T, D = G
 
Conclusions: (i) K > T   (ii) B > P   (iii) B = P
» Explain it
C
Statements:  P < K, B ≥ D, K = E, H > B, P ≤ G, E > T, D = G
 
Conclusions: (i) K > T   (ii) B > P   (iii) B = P
 
By combining all the statements, we get the following equation:

H > B ≥ D = G ≥ P < K = E > T

For conclusion (i): K > T

Here, the common sign between K and T is '>'. Thus K > T.

Hence conclusion (i) follows.

For conclusion (ii): B ≥ P

Here, the common sign between B and P is '≥'. Thus B ≥ P.

Thus conclusion (ii) does not follow individually.
 
For conclusion (iii): B = P

Here, the common sign between B and P is '≥'. Thus B ≥ P.

Therefore conclusion (iii) does not follow individually.

On combining conclusions (ii) and (iii) we get :
B ≥ P

Therefore either conclusion (ii) or conclusion (iii) follows and conclusion (i) follows.

Hence option C is correct.

4
» Explain it
A
Statements:  S < V, P = M, T > V, M < I, R = I, P < T
 
Conclusions: (i) R > V  (ii)  S > M  (iii) I < T
 
By combining all the statements, we get the following equation:

R = I > M = P < T > V > S
 
For conclusion (i): I > P

Here we can see the common sign between I and P is '>', thus I > P.

Hence conclusion (i) follows.

For conclusion (ii): S > M

Here we can see opposite sign between S and M, thus no relationship can be established between them.

Thus conclusion (ii) does not follow.
 
For conclusion (iii): I < T

Here we can see opposite sign between I and T, thus no relationship can be established between them.

Therefore conclusion (iii) does not follow.

Hence option A is correct.

5
Statements:  X ≥ T, Z < K, K < H, F = Q, T < Z, F > H
 
Conclusions: (i) T < F  (ii)  Q > K  (iii) Z < F
» Explain it
E
Statements:  X ≥ T, Z < K, K < H, F = Q, T < Z, F > H
 
Conclusions: (i) T < F  (ii)  Q > K  (iii) Z < F
 
By combining all the statements, we get the following equation:

X ≥ T < Z < K < H < F = Q

For conclusion (i): T < F

Here, the common sign between T and F is '<'. Thus T < F.

Hence conclusion (i) follows.

For conclusion (ii): Q > K

Here, the common sign between K and Q is '<'. Thus K < Q or Q > K.

Thus conclusion (ii) follows.
 
For conclusion (iii): Z < F

Here, the common sign between Z and F is '<'. Thus Z < F.

Therefore conclusion (iii) follows.

Hence option E is correct.

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