Inequality – Railway Reasoning (Part- 3)

Total Questions: 56

41. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [RPF Constable 18/01/2019 (Afternoon)]

Statement:
P > Q, R ≤ S, T ≤ R < Q ≥ U
conclusion:
(i) S > U
(ii) P > R
(iii) Q > T

Correct Answer: (d) Only i) and iii)
Solution:

Given :- P > Q, R ≤ S, T ≤ R < Q ≥ U
(i) S > U (False) (As R ≤ S, R < Q ≥ U)
(ii) P > R (True) (As P > Q, R < Q)
(iii) Q > T (True) (As T ≤ R < Q)
Only 2 and 3 follow.

42. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [RPF Constable 19/01/2019 (Morning)]

Statement:
P > Q, R ≤ S, T ≤ R < Q ≥ U
Conclusion:
i) T < P
ii) U ≤ P
iii) S < Q

Correct Answer: (d) Only i) Follows
Solution:

Given :- P > Q, R ≤ S, T ≤ R < Q ≥ U
(i) T < P (True) (As, P > Q, T ≤ R < Q)
(ii) U ≤ P (False) (As, P > Q ≥ U)
(iii) S < Q (False) (As,T ≤ R < Q, R ≤ S)
Only conclusion (i) follows.

43. In this question, relationship between different letters is given in the statements. Two conclusions are given related to the statement. [RPF S.I. 19/12/2018 (Morning)]

Statement:
B ≥ L = K < T = J
Conclusion:
I. B ≥ K
II. L < J
Select the appropriate one from the following options.
A. only Conclusion i follows.
B. Only conclusion ii follows.
C. Either conclusion i Or ii follows.
D. Neither conclusion i nor conclusion ii follows.
E. Both conclusions i and ii follow.

Correct Answer: (c) E
Solution:

Given, B ≥ L = K < T = J
I. B ≥ K = true (from, B ≥ L=K)
II. L < J = true (from, L=K<T=J)
Both conclusions I and II follow.

44. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [RPF S.I. 19/12/2018 (Morning)]

Statement:
B = S ≥ T < H = A; C > Q = U < T < D; F > E > D = K
Conclusion:
i) K > Q
ii) B > C
iii) C > K

Correct Answer: (b) only i
Solution:

Given, B = S ≥ T < H = A; C > Q = U < T < D; F > E > D = K
i) K > Q = true (from, Q = U < T < D = K)
ii) B > C = False (from, B = S ≥ T > U = Q < C)
iii) C > K = false (from, C > Q = U < T < D = K)
Only conclusion i is true.

45. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [RPF S.I. 19/12/2018 (Evening)]

Statement:
B > C ≤ D > E = F
Conclusion:
i) D < F
ii) B > E
Select the appropriate one from the following options.
A. Only Conclusion I follows.
B. Only conclusion II follows.
C. Either conclusion I Or II follows.
D. Neither conclusion I nor II follow.
E. Both conclusions I and II follow.

Correct Answer: (d) D
Solution:

Given, B > C < D > E = F
i) D < F = false (from, D > E = F)
ii) B > E = false (from, B > C ≤ D > E)
Neither conclusion I nor II follows.

46. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [RPF S.I. 19/12/2018 (Evening)]

Statement :
P ≥ Q, Q > R, R = S
Conclusion :
i) S < Q
ii) P > R
iii) P > S

Correct Answer: (a) All conclusions are true
Solution:

Given, P ≥ Q, Q > R, R = S
Combining the given relations, we get:
P ≥ Q > R = S
i) S < Q = true (from, Q > R = S)
ii) P > R = true (from, P ≥ Q > R)
iii) P > S = true (from, P ≥ Q > R = S)

47. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [RPF S.I. 24/12/2018 (Morning)]

Statement :
P ≥ U > R = S < T ≤ Q
Conclusion :
I) P > Q
II) P < S
Select the appropriate option from the following.
A. Only conclusion I follows
B. Only conclusion II follows
C. Either conclusion I or II follow
D. Neither conclusion I nor II follow
E. Both conclusions i and ii follow

Correct Answer: (b) D
Solution:

Given, P ≥ U > R = S < T ≤ Q
i) P > Q = false (from, P ≥ U > R = S < T ≤ Q)
ii) P < S = false (from, P ≥ U > R = S)
neither conclusion I nor II follows.

48. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [RPF S.I. 05/01/2019 (Morning)]

Statement.
C ≤ U < E;
C = O > M ≥ T
M = A > L
Conclusions
i) E > M
ii) C ≥ T
iii) C < A

Correct Answer: (c) Only i
Solution:

Given, C ≤ U < E; C = O > M ≥ T; M = A > L
i) E > M = true (from, E > C > M)
ii) C ≥ T = false (from, C = O > M ≥ T)
iii) C < A = false (from, C = O > M = A)
Only conclusion i is true.

49. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [RPF S.I. 05/01/2019 (Morning)]

Statement:
M ≤ N < O ≥ P < Q
Conclusion:
i) M ≥ P
ii) O > M
Choose the right from the following options.
(A) The only conclusion is rational.
(B) The only conclusion ii is logical.
(C) either i or ii conclusion is rational.
(D) neither i nor ii conclusion is rational.
(E) i and ii both conclusions are rational.

Correct Answer: (d) B
Solution:

Given, M ≤ N < O ≥ P < Q
i) M ≥ P = false (from, M ≤ N < O ≥ P)
ii) O > M = true (from, M ≤ N < O)
Only conclusion ii is logical.

50. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [RPF S.I. 06/01/2019 (Morning)]

Statement:
C ≤ O > N ≥ L = U < S ≤ I < K
Conclusions:
i) C ≤ U
ii) C > U
Choose a suitable one of the following options.
(A) only conclusions i follows
(B) only conclusion ii follows
(C) either i or ii follows
(D) neither i nor ii follows
(E) both i and ii follows

Correct Answer: (d) D
Solution:

given, C ≤ O > N ≥ L = U < S ≤ I < K
i) C < U = false (from, C ≤ O > N ≥ L = U)
ii) C > U = false (from, C ≤ O > N ≥ L = U)
neither i nor ii follows