Inequality – Railway Reasoning (Part- 1)

Total Questions: 50

1. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [Group - D 17/08/2022 (Morning)]

Statement:
P ≤ Q < F = R > M B ≥
Conclusions:
I. R > P
II. F < B

Correct Answer: (d) Only conclusion I is true
Solution:

Statement:
P ≤ Q < F = R > M ≥ B
Conclusions:
I. R > P = true (as P ≤ Q < F = R)
II. F < B = false (as F = R > M ≥ B)
because B is less than F.
So, Only conclusion (I) is correct.

2. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [Group - D 18/08/2022 ( Afternoon)]

Statement:
K = U = R > N > E > G < W

Correct Answer: (d) G < R
Solution:

K = U = R > N > E > G < W
Rest of all options does not fulfill the condition except option d. i.e. G < R

3. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [Group - D 25/08/2022 ( Afternoon)]

Statement:
Q = R > S T < U > V = Z ≤
Conclusions:
1. U > S  2. Q < T
3. S < V 4. Z > U

Correct Answer: (b) 1
Solution:

U > S is correct.
Q < T → false (as Q = R > S ≤ T)
S < V → false (as S < T < U > V)
Z > U → false (as U > V = Z)

4. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [Group - D 29/08/2022 (Evening)]

Statement:
$ < # = & @ > * = ! ≤
Conclusions:
I. * > &
II. # < !

Correct Answer: (d) Neither conclusion I nor II is true
Solution:Given statement :
$ < # = & ≤ @ > * = !
I. * > & = false (as & ≤ @ > *)
Here, we can’t define @.
II. # < ! = false (as # = & ≤ @ > * = !)
Here, we can’t define @.
Hence, Neither conclusion I nor II is true.

5. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [Group - D 06/09/2022 (Afternoon)]

Statement:
1. D ≥ S  2. X < W  3. S = J
4. W > Y  5. X > D  6. Y ≤ O

Correct Answer: (a) D ≥ J
Solution:

On combining the given statements, we get:
W > X > D ≥ S = J; W > Y ≤ O
D ≥ S Since, (D ≥ S and S = J)

6. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [Group - D 09/09/2022 (Afternoon)]

Statements:
1) G ≥ M  2) O < K  3) K < H
4) F = Q   5) M < O  6) F > H
Conclusions:
I. G < F
II. Q > M
III. O > Q
IV. M < Q

Correct Answer: (c) Conclusions II and IV follow
Solution:

On combining each and every statement in a proper sequence we get,
G ≥ M < O < K < H < F = Q
From the given conclusions:
Q > M is true since,
(M < O < K < H < F = Q)
M < Q is also true since,
(M < O < K < H < F = Q)
Hence, conclusions II and IV follow.

7. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [Group - D 13/09/2022 (Evening)]

Statement:
E < H < K = G > F > D

Correct Answer: (a) G > E
Solution:

Given statement: E < H < K < G > F > D
In : (G > E) = true (as E < H < K = G)
In : (K < E) = False (as E < H < K)
Here, relation is opposite between k and E
In : (D > G) = False (as G > F > D)
Here, relation is opposite between D and G
In : (K < D) = False (as K = G > F > D)
Here, relation is opposite between k and D

8. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [Group - D 29/09/2022 (Afternoon)]

Statements:
L > M = N ≥ O, P ≥ Q ≤ R = O
Conclusions:
I. N ≥ O
II. L > R
III. M ≥ Q

Correct Answer: (d) All conclusions I, II and III are true
Solution:

(I) N ≥ O True (as, L > M = N ≥ O)
II. L > R True
(as, L > M = N ≥ O, P ≥ Q ≤ R = O)
III. M ≥ Q True
(as M = N ≥ O, P ≥ Q ≤ R = O)
All conclusions I, II and III are true

9. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [NTPC CBT II Level 5 (15/06/2022) Shift 3]

Statements:
M N < O , A B < C = O ≤ ≥
Conclusions:
I. N > B
II. C > M

Correct Answer: (d) Only conclusion II follows.
Solution:As per direction of question we can arrange all in this way
M ≤ N < O = C > B ≤ A

Assume that
Statement (i)
N > B ⇒ In the above expression we can not move from N to B. (because gate is closed from the side of N to B) so this is incorrect.

Statement (ii)
C > M ⇒ In the above expression we can move from C to M. So this is correct.

10. Select the correct conclusion(s) / option that could be drawn from the given statements(s). [NTPC CBT II Level 2 (16/06/2022) Shift 1]

Statement:
‘#’ means ‘>’,
‘$’ means ‘ ’, ≥
‘%’ means ‘<’, and
‘@’ means ‘ ’. ≤
Assuming the following statements to be true , which of the conclusions given in
the options is definitely true.
B $ D $ A
R % D % L @ J

Correct Answer: (a) A % L
Solution:

B $ D $ A ⇒ B ≥ D ≥ A
R % D % L @ J ⇒ R < D < L ≤ J
From (i) and (ii) we can say
A ≤ D < L OR A < L
Hence, option (a) is definitely true.