Question

In these questions, the symbols @, %, ©, $, and * are used with the following meaning as illustrated below.

′P@Q′ means 'P is neither smaller than nor equal to Q'.

′P%Q′ means 'P is neither greater than nor equal to Q'.

′P©Q′ means 'P is not greater than Q'.

′P$Q′ means 'P is not smaller than Q'.

′P∗Q′ means 'P is neither smaller nor greater than Q'.

Assuming the given statements to be true, find which conclusions is definitely true?

Statements:

W∗D

Z©B

B$H

Conclusions:

I. H∗Z

II. B%W

′P@Q′ means 'P is neither smaller than nor equal to Q'.

′P%Q′ means 'P is neither greater than nor equal to Q'.

′P©Q′ means 'P is not greater than Q'.

′P$Q′ means 'P is not smaller than Q'.

′P∗Q′ means 'P is neither smaller nor greater than Q'.

Assuming the given statements to be true, find which conclusions is definitely true?

Statements:

W∗D

Z©B

B$H

Conclusions:

I. H∗Z

II. B%W

- Only Conclusion I is true

- Neither Conclusion I nor II is true
- Only Conclusion II is true
- Both Conclusions I and II are true
- Either Conclusion I or II is true

Solution

The correct option is **B** Neither Conclusion I nor II is true

P @ Q = P > Q

P % Q= P < Q

P © Q = P ≤ Q

P $ Q = P ≥ Q

P∗Q = P = Q

Statements: W = D, Z ≤ B, B ≥ H

∴ W = D, Z ≤ B ≥ H

Conclusions:

I. H=Z

II. B<W

Hence, neither Conclusion I nor II is true

P @ Q = P > Q

P % Q= P < Q

P © Q = P ≤ Q

P $ Q = P ≥ Q

P∗Q = P = Q

Statements: W = D, Z ≤ B, B ≥ H

∴ W = D, Z ≤ B ≥ H

Conclusions:

I. H=Z

II. B<W

Hence, neither Conclusion I nor II is true

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