Inequality

Directions (Q. 1 – 5): in the following questions, the symbols @, #, $, © and % are used with different meanings as follows:
 P @ Q means “P is not smaller than Q”.
 P # Q means “P is not greater than Q”.
 P $ Q means “P is neither greater than nor equal to Q”.
 P © Q means “P is neither smaller than nor equal to Q”.
 P % Q means “P is neither greater than nor smaller than Q”.

Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true. Give answer
(a) If only conclusion I is true.
(b) If only conclusion II is true.
(c) If either conclusion I or II is true.
(d) If neither conclusion I nor II is true.
(e) If conclusions I and II both are true.


1. Statement: A @ B, B © C, C % D
Conclusions: I. A @ D II. D % B

2. Statement: A # B, B © C, C @ D
Conclusions: I. A @ C II. B © C

3. Statement: A @ B, B @ C, C @ D
Conclusions: I. D # B II. C % A

4. Statement: A @ B, B © C, C # D
Conclusions: I. A © C II. B % D

5. Statement: A © B, B % C, C $ D
Conclusions: I. A © C II. B $ D

Answers
1. (d) The coded relation of A, B, C and D in the statement is; A ≥ B > C = D.
2. (b) The coded relation of A, B, C and D in the statement is; A ≤ B > C ≥ D.
3. (a) The coded relation of A, B, C and D in the statement is; A ≥ B ≥ C ≥ D.
4. (a) The coded relation of A, B, C and D in the statement is; A ≥ B > C ≤ D.
5. (e) The coded relation of A, B, C and D in the statement is; A > B = C < D.


Directions (Q. 1 – 5): in the following questions, the symbols @, #, $, © and % are used with different meanings as follows:
 P @ Q means “P is not smaller than Q”.
 P # Q means “P is not greater than Q”.
 P $ Q means “P is neither greater than nor equal to Q”.
 P © Q means “P is neither smaller than nor equal to Q”.
 P % Q means “P is neither greater than nor smaller than Q”.

Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true. Give answer
(a) If only conclusion I is true.
(b) If only conclusion II is true.
(c) If either conclusion I or II is true.
(d) If neither conclusion I nor II is true.
(e) If conclusions I and II both are true.


1. Statement: A @ B, B © C, C % D
Conclusions: I. A @ D II. D % B

2. Statement: A # B, B © C, C @ D
Conclusions: I. A @ C II. B © C

3. Statement: A @ B, B @ C, C @ D
Conclusions: I. D # B II. C % A

4. Statement: A @ B, B © C, C # D
Conclusions: I. A © C II. B % D

5. Statement: A © B, B % C, C $ D
Conclusions: I. A © C II. B $ D

Answers
1. (d) The coded relation of A, B, C and D in the statement is; A ≥ B > C = D.
2. (b) The coded relation of A, B, C and D in the statement is; A ≤ B > C ≥ D.
3. (a) The coded relation of A, B, C and D in the statement is; A ≥ B ≥ C ≥ D.
4. (a) The coded relation of A, B, C and D in the statement is; A ≥ B > C ≤ D.
5. (e) The coded relation of A, B, C and D in the statement is; A > B = C < D.


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