Directions (1-5): Read the information / statement given in such question carefully and answer the questions.
1. Which of the following expressions will be true if the expression ‘H ≤ G = K > F’ is definitely true?
(1) K ≥ H (2) G = F
(3) H ≥ F (4) F ≥ G
2. Which of the following expressions will not be true if the expression ‘P ≤ Q < R = S’ is definitely true?(1) S ≥ P (2) P < R
(3) S > Q (4) P > S
(5) None of these
3. In which of the following expressions does the expression ‘W < Z’ hold true?
(1) W > Y < X ≤ Z (2) Z > X ≤ Y ≤ W
(3) Z ≥ Y > X ≥ W (4) Z > Y = X < W
(5) Z ≥ X > Y ≤ W
4. In which of the following expressions will the expression ‘L < R’ be definitely true?
(1) L ≥ M > N = R (2) L = M < N > R
(3) L < M ≤ N ≤ R (4) R ≥ M = N < L
(5) None of these
5. In which of the following expressions does the expression ‘D > A’ does not hold true?
(1) A < B ≤ C = D (2) D ≥ B > C ≥ A
(3) A ≤ B = C < D (4) D ≥ C ≥ B > A
(5) A > B ≤ C = D
Directions (6 – 10): In these questions symbols @, $, #, &, % are used with different meanings as follows.
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 neither greater nor smaller than Q
P % Q means P is not greater than Q
P & Q means P is not smaller than Q
In each of the following questions assuming the given statements to be true, find out which of the two conclusions I and II given below them is /are definitely true.
Give answer (1) if only conclusion I is true.
Give answer (2) if only conclusion II is true.
Give answer (3) if either conclusion I or II is true.
Give answer (4) if neither conclusion I nor II is true.
Give answer (5) if both conclusions I and II is true
6. Statements: A @ B, B $ C, C # D
Conclusions: I. A#D II. B@D
7. Statements: P&Q, Q%R, R$S
Conclusions: I. Q $ S II. P#S
8. Statements: P&Q, Q@R, R%S
Conclusions: I. Q%S II. P%S
9. Statements: A@B, B#C, C%D
Conclusions: I. B#D II.D@A
10. Statements: A@B, B%C, C@D
Conclusions: I. D$B II. B@D
Solutions (1-5):
1. (1) K ≥ H, Will definitely hold true.
2. (1) P ≤ Q < R = S
S ≥ P, Will not be true
3. (3) W < Z
Z ≥ Y > X ≥ W
4. (3) L < R, Will be true
In L < M ≤ N ≤ R
5. (5) D > A, Does not hold true in expression (5): A > B ≤ C = D
Solutions (6 – 10):
@ - > # - < $ - = % - ≤ & - ≥
6. (4) A > B = C < D
I. A < D False II. B > D False
7. (4): P ≥ Q ≤ R = S
I. Q = S False II. P < S False
8. (4): P ≥ Q > R ≤ S
I. Q ≤ S False II. P ≤ S False
9. (1): A > B < C ≤ D
I. B < D True II. D > A False
10. (4): A > B ≤ C > D
I. D = B False II. B > D False
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