Study the following information to answer the given questions:
P $ Q means P is not smaller than Q
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 than nor smaller than Q
P * Q means P is not greater than Q
Refer the above for the Questions 1 to 5
1. Statements: C # P, P * L, L @ E, E $ M
Conclusions:
I. M # P
II. M @ L
III. P # E
IV. L # C
SHOW ANSWER
Correct Ans:None is true
Explanation:
Given,
$ means ≥
@ means >
# means <
& means =
* means ≤
Given Statements: C # P, P * L, L @ E, E $ M
Which can be written as: C < P ≤ L > E ≥ M
Given Conclusions:
I. M # P ---- M < P (False)
II. M @ L ---- M > L (False) --- According to given statements, the correct relation between M and L is "M < L"
III. P # E ----P < E (False)
IV. L # C ---- L < C (False) --- According to given statements, the correct relation between L and C is "L > C"
Thus, None of the given conclusion follows the given statements.
2. Statements: S @ L, L # M, M & B, B * Q
Conclusions:
I. Q $ M
II. B @ L
III. S @ Q
IV. L @ Q
SHOW ANSWER
Correct Ans:I, II are true
Explanation:
Given,
$ means ≥
@ means >
# means <
& means =
* means ≤
Given Statements: S @ L, L # M, M & B, B * Q
Which can be written as: S > L, L < M, M = B, B ≤ Q
i.e., S > L < M = B ≤ Q
Given Conclusions:
I. Q $ M ---- Q ≥ M (True)
II. B @ L ---- B > L (True)
III. S @ Q ---- S > Q (False)
IV. L @ Q ---- L > Q (False)
ThusConclusionsI and II are true according to given statements.
3. Statements: T * Y, S # M, Y $ S, M @ K
Conclusions:
I. K # S
II. Y @ M
III.T # M
IV.Y @ K
SHOW ANSWER
Correct Ans:None is true
Explanation:
Given,
$ means ≥
@ means >
# means <
& means =
* means ≤
Given Statements: T * Y, S # M, Y $ S, M @ K
Which can be written as: T ≤ Y, S < M, Y ≥ S, M > K
i.e., T ≤ Y ≥ S < M > K
Given Conclusions:
I. K # S ----- K < S (False)
II. Y @ M ---- Y > M (False)
III.T # M ---- T < M (False)
IV.Y @ K ---- Y > K (False)
Thus, None of the given conclusion follows the given statements.
4. Statements: W * N, K * V, Y @ V, W @ K
Conclusions:
I. Y @ K
II. W $ N
III. W @ Y
IV. W @ V
SHOW ANSWER
Correct Ans:Only I is true
Explanation:
Given,
$ means ≥
@ means >
# means <
& means =
* means ≤
Given Statements: W * N, K * V, Y @ V, W @ K
which can be written as: W ≤ N, K ≤ V, Y > V, W > K
i.e., N ≥ W > K ≤ V < Y
Given Conclusions:
I. Y @ K ---- Y > K (True)
II. W $ N ---- W ≥ N (False)
III. W @ Y ---- W > Y (False)
IV. W @ V ---- W > V (False)
Thus, Only Conclusion I is true according to the given Statements.
5. Statements: A $ M, P @ L, K # P, A $ L
Conclusions:
I. K # L
II. A @ P
III. L * A
IV. M # P
SHOW ANSWER
Correct Ans:Only III is true
Explanation:
Given,
$ means ≥
@ means >
# means <
& means =
* means ≤
Given Statements: A $ M, P @ L, K # P, A $ L
Which can be written as: A ≥ M, P > L, K < P, A ≥ L
i.e., M ≤ A ≥ L < P > K
Given Conclusions:
I. K # L ----- K < L (False)
II. A @ P ---- A > P (False)
III. L * A ---- L ≤ A (True)
IV. M # P ----- M < P (False)
Thus, Only Conclusion III is true according to the given Statements.
6. Statement:
L > G = M ≤ T ; U < S < M
Conclusions:
I) T ≥ L
II) S < L
III) T > U
IV) G ≤ U
SHOW ANSWER
Correct Ans:Only II,III are true
Explanation:
Given
Statement:
L > G = M ≤ T ; U < S < M
Conclusion I) T ≥ L ---> False (According to the given statements, L > G ≤ T)
Conclusion II) S < L ---> True (According to the given statements, S < M < L, which means S < L)
Conclusion III) T > U ---> True (According to the given statements, T ≥ M > S > U, which means T > U)
Conclusion IV) G ≤ U --> False (According to the given statements, G = M > S > U, which means G > U)
Thus, Only Conclusions II, III are true
7. Statement:
D > M > U ≥ E ; N < U ≥ J
Conclusions:
I ) D > E
II) E ≤ J
III) M > N
IV) D > J
SHOW ANSWER
Correct Ans:Only I,III ,IV are true
Explanation:
Given
Statements: D> M > U ≥ E ; N < U ≥ J
Conclusion I ) D > E ---> True (According to given statements, D> M > U ≥ E)
Conclusion II) E ≤ J ---> False (According to given statements, E ≤ U ≥ J)
Conclusion III) M > N ----> True (According to given statements, M > U > N)
Conclusion IV) D > J ----> True (According to given statements, D > M > U ≥ J)
Thus , Only Conclusions I, III and IV are true
8. Statement:
K > H < Y ≤ Z < A > R ≥ L
Conclusions:
I) A > Y
II) L < A
III) H < A
IV) K > R
SHOW ANSWER
Correct Ans:Only I,II,III are true
Explanation:
Given Statement:
K > H < Y ≤ Z < A > R ≥ L
Conclusion I) A > Y ----- True (According to given statements, Y ≤ Z < A, which means, Y < A, i.e., A > Y)
Conclusion II) L < A ----- True (According to given statements, A > R ≥ L, which means, A > L, i.e., L < A)
Conclusion III) H < A ----- True (According to given statements, H < Y ≤ Z < A, which means, H < A)
Conclusion IV) K > R ----- False (According to given statements, K > H < Y ≤ Z < A > R, so exact relation between K and R cannot be determined from this data)
Thus, Only Conclusions I, II and III are true.
9. Statement:
S > H ≥ P ≤ C ; Y > P ≥ N
Conclusions:
I) H > Y
II) S > C
III) C = Y
IV) C ≥ N
SHOW ANSWER
Correct Ans:Only IV is true
Explanation:
Given
Statement:
S > H ≥ P ≤ C ; Y > P ≥ N
Conclusion I) H > Y ---- False (According to given statements, H ≥ P < Y)
Conclusion II) S > C ----- False (According to given statements, S > H ≥ P ≤ C)
Conclusion III) C = Y ----- False (According to given statements, C ≥ P < Y)
Conclusion IV) C ≥ N ----- True (According to given statements, C ≥ P ≥ N, which means C ≥ N)
Thus, Only conclusion IV is true.
10. Statement:
P > R ≥ S = T < M ≤ N < K
Conclusions:
I) T< P
II) N > S
III) K < S
IV) S ≥ P
SHOW ANSWER
Correct Ans:Only I and II are true
Explanation:
Given
Statement: P > R ≥ S = T < M ≤ N < K ,
Conclusions:
I) T< P ---> True
II) N > S ---> True
III) K < S ---> False (According to given statements, correct relation between K and S is "K > S")
IV) S ≥ P ---> False (According to given statements, correct relation between S and P is "S < P")
Thus Conclusions I and II are true
Directions:
A $ B means A is not smaller than B
A # B means A is not greater than B
A @ B means A is neither smaller than nor equal to B
A © B means A is neither smaller than nor greater than B
A % B means A is neither greater than nor equal to B
Refer the above for the Questions 11 to 15
11. Statement:
R # D , D $ M , M © N
Conclusions:
I) R # M
II) N # D
III) N $ R
SHOW ANSWER
Correct Ans:Only II is true
Explanation:
Given
$ means ≥
# means ≤
@ means >
© means =
% means <
Statement :
R # D , D $ M , M © N
Denoted as R ≤ D ≥ M = N
Conclusions
I) R # M --> R ≤ M ---> False
II) N # D --> N ≤ D ---> True
III) N $ R ---> N ≥ R --> False
Hence, Only Conclusion II is true.
12. Statement:
M @ D , D © V, V $ W
Conclusions:
I) W @ M
II) M % V
III) D $ W
SHOW ANSWER
Correct Ans:Only III is true
Explanation:
Given
$ means ≥
# means ≤
@ means >
© means =
% means <
Statement:
M@ D , D © V, V $ W
Denoted as M > D = V ≥ W
Conclusions:
I) W @ M---> W > M---> False
II) M % V ---> M < V ---> False
III) D $ W ---> D ≥ W ---> True
Only Conclusion III is true.
13. Statement:
K # N ,N $ T, T% J
Conclusions
I) J @ N
II) K @ T
III) T @ K
SHOW ANSWER
Correct Ans:None is true
Explanation:
Given
$ means ≥
# means ≤
@ means >
© means =
% means <
Statement:
K # N ,N $ T, T% J
Denoted as K ≤ N ≥ T < J
Conclusions:
I) J @ N ---> J > N ---> False
II) K @ T ---> K > T---> False
III) T @ K ---> T > K ---> False
Here None is true.
14. Statement :
M @ J, J $ T, T © N
Conclusion:
I) N # J
II) T % M
III) M @ N
SHOW ANSWER
Correct Ans:All are true
Explanation:
Given
$ means ≥
# means ≤
@ means >
© means =
% means <
Statement :
M @ J, J $ T, T © N
Denoted as M > J ≥ T = N
Conclusion
I) N # J --> N ≤ T ---> True
II) T % M --> T < M ---> True
III) M @ N ---> M > N ---> True
All the conclusions are true
15. Statement:
H % J , J © N,N @ R
Conclusion:
I) R % J
II) H @ J
III) N @ H
SHOW ANSWER
Correct Ans:Only I and III are true
Explanation:
Given
$ means ≥
# means ≤
@ means >
© means =
% means <
Statement:
H % J , J © N,N @ R
Denoted as H < J = N > R
Conclusion:
I) R % J --> R < J --->True
II) H @ J --> H > J ---> False
III) N@ H --> N > H --->True
Thus Only Conclusions I and III are true.
Directions: The symbols #, %, @, $ and â¦¾ are used with the following meanings as illustrated below:
‘P # Q’ means ‘P is not smaller than Q’
‘P % Q’ means ‘P is not greater than Q'
‘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 â¦¾ Q’ means ‘P is neither smaller than nor greater than Q’
Refer the above for the Questions 16 to 20
16. Statements:
R # T, T â¦¾ M, M @ D
Conclusions:
I) D $ T
II) R # M
SHOW ANSWER
Correct Ans:Both conclusion I and II are true
Explanation:
Given,
# means ≥
% means ≤
@ means >
$ means <
â¦¾ means =
Statements:
R # T, Tâ¦¾ M, M @ D
Denoted as R ≥ T = M > D
Conclusions:
I) D $ T --- D < T (True)
II) R # M --- R ≥ M (True)
Hence, Both the conclusions I and II are true.
17. Statements:
H @ W, W $ M, M # K
Conclusions:
I) K $ W
II) H @ M
SHOW ANSWER
Correct Ans:Neither conclusion I nor II is true
Explanation:
Given,
# means ≥
% means ≤
@ means >
$ means <
â¦¾ means =
Statements:
H @ W, W $ M, M # K
----- H > W < M ≥ K
Conclusions:
I) K $ W --- K < W (False)
II) H @ M --- H > M (False)
Hence, Neither conclusion I nor II is true
18. Statements:
R % N, N # F, F @ B
Conclusions:
I) F â¦¾ R
II) B $ N
SHOW ANSWER
Correct Ans:Only conclusion II is true
Explanation:
Given,
# means ≥
% means ≤
@ means >
$ means <
â¦¾ means =
Statements:
R % N, N # F, F @ B
----- R ≤ N ≥ F > B
Conclusions:
I) Fâ¦¾ R ---- F = R (False), According to given statements, F is either≤ or≥ R.
II) B $ N ---- B < N (True)
Hence, Only Conclusion II is true.
19. Statements:
M $ T, T @ K, K â¦¾ D
Conclusions:
I) D $ T
II) K $ M
SHOW ANSWER
Correct Ans:Only conclusion I is true
Explanation:
Given,
# means ≥
% means ≤
@ means >
$ means <
â¦¾ means =
Statements:
M $ T, T @ K, K â¦¾ D
----- M < T > K = D
Conclusions:
I) D $ T ---- D < T (True)
II) K $ M ---- K < M (False)
Hence, Only conclusion I is true.
20. Statements :
H â¦¾ W, W % R, R @ F
Conclusions:
I) R â¦¾ H
II) R @ H
SHOW ANSWER
Correct Ans:Either conclusion I or II is true
Explanation:
Given,
# means ≥
% means ≤
@ means >
$ means <
â¦¾ means =
Statements :
H â¦¾ W, W % R, R @ F
----- H = W ≤ R > F
Conclusions:
I) R â¦¾ H ---- R = H (Not definite - False)
II) R @ H ---- R > H (Not definite - False)
Rules for Either .... or ... case:
1) Both conclusions are False. Here Conclusion I and II are False.
2) Both conclusions have same variable.(i.e., R and H are present in both Conclusion I and II)
3) Symbols "=" and ">" are together in those conclusions.
Thus, either Conclusion I or II follows.
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