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- Inequalities Quiz 1

Important for :

1

D

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

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

Hence conclusion (i) does not follow individually.

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".

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

Hence option D is correct.

2

C

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

G ≥ Y = Z < X > W > U > V = H

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

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

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

Hence option C is correct.

3

C

H > B ≥ D = G ≥ P < K = E > T

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

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

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

On combining conclusions (ii) and (iii) we get :

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

Hence option C is correct.

4

A

R = I > M = P < T > V > S

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

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

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

Hence option A is correct.

5

E

X ≥ T < Z < K < H < F = Q

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

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

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

Hence option E is correct.

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