1.
Direction: 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.Statement: A @ B, B © C, C % DConclusions: I. A @ D II. D % BGive answer
Correct Answer
D. If neither conclusion I nor II is true
2.
Direction: 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.Statement: A # B, B © C, C @ DConclusions: I. A @ C II. B © CGive answer
Correct Answer
B. If only conclusion II is true
Explanation
The given statements are A # B, B © C, C @ D. According to the given meanings of the symbols, A is not greater than B, B is neither smaller than nor equal to C, and C is not smaller than D.
Conclusion I states that A is not smaller than C. However, there is no direct relationship or comparison given between A and C in the statements. Therefore, conclusion I cannot be determined to be true based on the given information.
Conclusion II states that B is neither smaller than nor equal to C. This conclusion is true because it aligns with the statement B © C, which means B is neither smaller than nor equal to C. Therefore, only conclusion II is true.
3.
Direction: 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.Statement: A @ B, B @ C, C @ DConclusions: I. D # B II. C % AGive answer
Correct Answer
A. If only conclusion I is true
Explanation
The symbol "@" means "not smaller than" and the symbol "#" means "not greater than". Therefore, if conclusion I is true, it means that D is not greater than B, which implies that D is either equal to B or smaller than B. This is consistent with the given statements A @ B, B @ C, C @ D. However, there is no information in the given statements about the relationship between C and A. Therefore, conclusion II cannot be determined and may or may not be true. Thus, the correct answer is "If only conclusion I is true".
4.
Direction: 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.Statement: A @ B, B © C, C # DConclusions: I. A © C II. B % DGive answer
Correct Answer
A. If only conclusion I is true
Explanation
The given statements are A @ B, B © C, C # D. From these statements, we can conclude that A is neither smaller than nor equal to B, B is neither smaller than nor equal to C, and C is not greater than D. Therefore, we can say that A is neither smaller than nor equal to C, which supports conclusion I. However, we cannot determine the relationship between B and D based on the given statements, so we cannot conclude that B is neither greater than nor smaller than D. Thus, conclusion II is not necessarily true. Therefore, the correct answer is "If only conclusion I is true."
5.
Direction: 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.Statement: A © B, B % C, C $ DConclusions: I. A © C II. B $ DGive answer
Correct Answer
E. If conclusions I and II both are true
Explanation
The given statements are A © B, B % C, C $ D. From the given symbols, we can infer that A is neither smaller than nor equal to B, B is neither greater than nor smaller than C, and C is neither greater than nor equal to D.
Conclusion I states that A is neither smaller than nor equal to C. Since there is no direct relationship given between A and C, we cannot determine the truth of this conclusion based on the given statements.
Conclusion II states that B is neither greater than nor equal to D. This conclusion can be inferred from the given statements, as B is neither greater than nor equal to C, and C is neither greater than nor equal to D. Therefore, conclusion II is true.
Hence, the correct answer is "If conclusions I and II both are true."
6.
Direction: 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.Statement: A @ B, B @ C, C # DConclusions: I. A © C II. A % CGive answer
Correct Answer
C. If either conclusion I or II is true
Explanation
The given statements are A @ B, B @ C, and C # D.
From the given meanings of the symbols, we can infer that A is not smaller than B, B is not smaller than C, and C is not greater than D.
Conclusion I states that A is neither smaller than nor equal to C. Since A is not smaller than B and B is not smaller than C, it is possible that A is not smaller than C. Therefore, conclusion I is true.
Conclusion II states that A is neither greater than nor smaller than C. Since A is not smaller than B and B is not smaller than C, it is not possible to determine whether A is neither greater than nor smaller than C. Therefore, conclusion II is not true.
Hence, the correct answer is "If only conclusion I is true."
7.
Direction: 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.Statement: A $ B, B # C, C % DConclusions: I. D % B II. A # CGive answer
Correct Answer
D. If neither conclusion I nor II is true
Explanation
According to the given symbols, A $ B means A is neither greater than nor equal to B. B # C means B is not greater than C. C % D means C is neither greater than nor smaller than D. From these statements, we cannot determine the relationship between D and B, so conclusion I (D % B) cannot be determined. Similarly, we cannot determine the relationship between A and C, so conclusion II (A # C) cannot be determined. Therefore, neither conclusion I nor II is true.
8.
Direction: 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.Statements: A $ B, B @ C, C # DConclusions: I. C © A II. B % DGive answer
Correct Answer
D. If neither conclusion I nor II is true
Explanation
The given statements are A $ B, B @ C, C # D.
From the given meanings of the symbols, we can deduce the following:
- A is neither greater than nor equal to B.
- B is not smaller than C.
- C is not greater than D.
Conclusion I: C © A
Since A is neither greater than nor equal to B, and B is not smaller than C, we cannot determine the relationship between C and A. Therefore, conclusion I is not true.
Conclusion II: B % D
Since C is not greater than D, and B is not smaller than C, we cannot determine the relationship between B and D. Therefore, conclusion II is not true.
Hence, neither conclusion I nor II is true.
9.
Direction: 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.Statement: A # B, B $ C, C @ DConclusions: I. B % D II. C © AGive answer
Correct Answer
B. If only conclusion II is true
Explanation
The given statements are A # B, B $ C, C @ D. This means that A is not greater than B, B is neither greater than nor equal to C, and C is not smaller than D.
Conclusion I states that B is neither greater than nor smaller than D. Since there is no given statement that directly relates B and D, we cannot determine the relationship between them. Therefore, conclusion I is not definitely true.
Conclusion II states that C is neither smaller than nor equal to A. Since there is no given statement that directly relates C and A, we cannot determine the relationship between them. However, since C is not smaller than D, it is possible that C is not smaller than A as well. Therefore, conclusion II is definitely true.
10.
Direction: 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.Statement: A $ B, B # C, C $ DConclusions: I. C © A II. B $ DGive answer
Correct Answer
E. If conclusions I and II both are true
Explanation
Based on the given statements, A is neither greater than nor equal to B, B is not greater than C, and C is neither greater than nor equal to D.
Conclusion I states that C is neither smaller than nor equal to A. This conclusion is true because if A is not greater than or equal to B, and B is not greater than C, then it implies that C cannot be smaller than or equal to A.
Conclusion II states that B is neither greater than nor equal to D. This conclusion is also true because if B is not greater than C, and C is not greater than or equal to D, then it implies that B cannot be greater than or equal to D.
Therefore, both conclusions I and II are true.