Reasoning Questions for SBI Clerk 2019 | Inequalities Quiz No 20 with PDF at Smartkeeda

Directions: In these questions, relationship between different elements is shown in the statement. The statements are followed by two conclusions. Choose the correct answer on the basis of information given below.
» Explain it
E
Statements:   W < K , Z < M ≤ W ,  B > Z ,  R ≤ K
 
Conclusions:  W < B ,      R > W

For conclusion I: W < B

From statements II and III, we get:

W ≥ M > Z < B

Here, we can see the sign of inequalities are getting opposite between W and B, thus no relationship can be established between them.

Thus conclusion I does not follow.

For conclusion II: R > W


From statements I and IV, we get:

R ≤ K > W
 
Here too, we can see the opposite sign between R and W, thus no relationship can be established between them either.

Thus conclusion II does not follow either.

Therefore neither conclusion I nor II follows.

Hence option E is correct.
» Explain it
B
Statements:   I ≥ H > A ,  Q < A = P , H ≥ B ,  I ≤ G
 
Conclusions:  G = H ,      G > H

For conclusion I: G = H

From statements I and IV, we get:

G ≥ I ≥ H
 
Here, the common sign between G and H is '≥', thus G ≥ H.

Thus conclusion I does not follow individually.

For conclusion II: G > H


From statements I and IV, we get:

G ≥ I ≥ H
 
Here, the common sign between G and H is '≥', thus G ≥ H.

Thus conclusion II does not follow individually.

On combining both the conclusions we get , G ≥ H.

 
Therefore either conclusion I or II follows.

Hence option B is correct.
» Explain it
C
Statements:   I ≥ H > A ,  Q < A = P , H ≥ B ,  I ≤ G
 
Conclusions:  P < I ,      G > B

For conclusion I: P < I

From statements I and II , we get:

I ≥ H > A = P
 
Here, the common sign between I and P is '>', thus I > P or P < I.

Thus conclusion I follows.

For conclusion II: G > B


From statements III and IV, we get:

G ≥ I ≥ H ≥ B 

Here, the common sign between G and B is '≥', thus G ≥ B.

Thus conclusion II does not follow.

Therefore only conclusion I follows.

Hence option C is correct.
4
Statements:   L ≤ M , O ≥ H ,  F = M ,  K ≥ H ,  I < J > F
 
Conclusions:  L < J ,      O ≥ K
» Explain it
C
Statements:   L ≤ M , O ≥ H ,  F = M ,  K ≥ H ,  I < J > F
 
Conclusions:  L < J ,      O ≥ K

For conclusion I: L < J

From statements I, III and V, we get:

L ≤ M = F < J

Here, the common sign between L and J is '<', thus L < J.

Thus conclusion I follows.

For conclusion II: O ≥ K


From statements II and IV, we get:

O ≥ H ≤ K

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

Thus conclusion II does not follow.

Therefore only conclusion I follows.

Hence option C is correct.
» Explain it
D
Statements:   X > Y ,  M =  X < Z ,  T < S ,  G ≥ T
 
Conclusions:  G > S ,      Y < Z

For conclusion I: G > S

From statements III and IV, we get:

G ≥ T < S

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

Thus conclusion I does not follow.

For conclusion II: Y < Z


From statements I and II, we get:

Z > M = X > Y

Here, the common sign between Z and Y is ‘>’. Hence Z > Y.

Thus conclusion II follows.

Therefore only conclusion II follows.

Hence option D is correct.
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