Inequalities Test : Reasoning Mania Series

Directions (1 - 5): In the following questions, the symbols @, ©, $, % and # are used with the following meaning as illustrated below:
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 not smaller than Q’
P © Q Means ‘P is neither greater than nor equal to Q’
P % Q Means ‘P is neither smaller than nor greater than Q’

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Now, in each of the following questions, assuming the given statement to be true, find which of the three Conclusions I, II and III given below them is/are definitely true and give your answer accordingly :-

Q1. Statement: D # K, K@T, T $ M, M % J
    Conclusions: 
                        I. J @ T
                        II. J % T
                        III. D @ T
a) Only I is true
b) Only II is true
c) Either I or II is true
d) Either I or II and II are True

Q2. Statement: R @ N, N © D, D $ J, J # B
       Conclusions:
                          I. R @ J
                          II. J @ N
                          III. B @ D
a) None is True
b) Only I is true
c) Only II is true
d) Only III is true

Q3. Statements: W © B, B & V, V $ R, R @ K
      Conclusions:
                         I. K © B
                         II. R # B
                         III. V @ W
a) I and II are true
b) I and III are true
c) II and III are true
d) All III are true

Q4. Statements: H $ M, M # T, T @ D, D © R
       Conclusions: 
                         I. D © M
                         II. R @ M
                         III. H $ T
a) None is True
b) Only I is True
c) Only II is True
d) Only III is True
e) None of The Above

Q5. Statements: B % J, J @ K, K © T, T $ F
      Conclusions:
                        I. F @ K
                        II. B @ K
                        III. B @ F
a) I and II are True
b) I and III are True
c) II and III are True
d) All are True

Q6. Statements: F # B, B $ M, M @ K, K © N
      Conclusions: 
                         I. N @ M
                         II. F $ M
                         III. K © B
a) Only I is True
b) Only II is True
c) Only III is True
d) None is True

 Solution

Answer 1 (Option D)
D  ≥ K  > T ≤ M = J 
Conclusions
I. J @ T means J > T
II. J % T means J = T (Either I or II is True)
III. D @ T means D > T (True)
So, It is clear that either Conclusion I or II and III are true.

Answer 2 (Option C)
R > N < D ≤ J  ≥ B
Conclusions
I. R @ J means R > J (False)
II. J @ N means J > N ( True)
III. B @ D means  B > D (False)
So, It is clear that only Conclusion II is true

Answer 3 (Option C)
W < B = V ≤ R > K
Conclusions
I. K © B means K < B (False)
II. R # B means R ≥ B (True)
III. V @ W means V > W (True)
So, It is clear that both conclusion II and III are True.

Answer 4 (Option B)
H ≤ M ≥ T > D < R
Conclusions
I. D ©  M means D < M (True)
II. R @ M means R > M (False)
III. H $ T means H ≤ T (False)
So, it is clear that only Conclusion I is true.

Answer 5 (Option A)
B = J > K < T ≤  F
I. F @ K means F > K (True)
II. B @ K means  B > K (True)
III. B @ F means B >  F (False)
So, it is clear that both Conclusions I and II are True

Answer 6 (Option D)
F ≥ B ≤ M > K < N
I. N @ M means N > M (False)
II. F $ M means F ≤ M (False)
III. K © B means K < B (False)
So, it is clear that None of The Conclusions is True

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