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- Inequalities Quiz 1

Important for :

1

A

From the statements I and II, we get:

I < R > K

Here, the signs on inequalities between I and R are getting reversed. Conclusion I hence doesn't follow.

Combining statements I and III, we get:

I = N ≤ E < Z

Here, the common sign between I and Z is ‘<’ and the given conclusion is also I < Z. Hence, conclusion II follows.

Hence, the correct answer is would be ‘Only conclusion II follows’.

2

C

From statements II, III and IV, we get:

N > I > C ≥ G = K

Here, the common sign between N and K is '>'. Thus N > K.

Hence conclusion I follows.

N > I > C ≥ G = K

Here, the common sign between N and K is '>'. Thus N > K.

Hence conclusion I follows.

From statements I, II and III, we get:

C ≥ G = K < T

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

Hence conclusion II does not follow.

From statements II, III and IV, we get:

M ≤ I > C ≥ G = K ≥ J

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

Hence conclusion III does not follow.

Therefore only conclusion I follows.

Hence option C is correct.

3

E

From statements I, II and III, we get:

H ≤ X > B ≥ P

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

Hence conclusion I does not follow.

H ≤ X > B ≥ P

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

Hence conclusion I does not follow.

From statements I, II and III, we get:

H ≤ X > B ≥ P

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

Hence conclusion II does not follow.

From statements II and III, we get:

R > Y = H ≤ X

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

Hence conclusion III does not follow.

Therefore none of the conclusions follows.

Hence option E is correct.

4

E

From statements I and III, we get:

C = F < G

Here, the common sign between C and G is ‘<’. Hence C < G. Thus conclusion I does not follow.

From statements II and III, we get:

H > C < A

Here, we get opposite signs between H and A. Thus no relationship can be established between them.

Hence conclusion II does not follow.

Therefore neither conclusion I nor II follows.

Hence option E is correct.

5

B

From statements I and III, we get:

Y ≥ X ≥ Z

Here, the common sign between Y and Z is ‘≥’. Hence Y ≥ Z Thus conclusion I does not follow individually.

From statements I and III, we get:

Y ≥ X ≥ Z

Y ≥ X ≥ Z

Here, the common sign between Y and Z is ‘≥’. Hence Y ≥ Z. Thus conclusion II also does not follow individually.

On combining conclusions I and II, we get: Y ≥ Z, which is the true relationship.

Thus either conclusion I or II follows.

Hence option B is correct.

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