1. Statement: A ≥ B < C ≥ D > E ≥ F = G ≤ H
Conclusions: i) C > F ii) E ≥ G
A) Only i follows B) Only ii follows C) Either i or ii follow D) Neither i nor ii follows E) Both i and ii follows
Sol: From the given statement
A ≥ B < C ≥ D > E ≥ F = G ≤ H
For conclusion (i) C > F
Here, the sign between (C ≥ D > E ≥ F) ≥, > , ≥ → give priority to > then final conclusion is C > F
∴ Conclusion i follows
For conclusion (ii) E ≥ G (E ≥ F = G) E ≥ G
the final conclusion is E ≥ G
Conclusion ii also follow
∴ Both (i) and (ii) follows.
Ans: E
2. Statement: P > Q ≥ R ≤ S ≥ T < U ≥ V > W
Conclusions: i) P < S ii) U > W
A) Only i follows B) Only ii follows C) Either i or ii follows D) Neither i nor ii follows E) Both i and ii follows
Sol: For conclusion (i) P < S
In the above statement (P > Q ≥ R ≤ S) in between P and S opposite signs are there, when ever opposite signs there is no relation between subject and predicate
∴ Conclusion i not satisfied
For conclusion (ii) U > W
(U ≥ V > W)
Symbol Priority to " > " U > W The conclusion ii follows Only (ii) follows
Ans: B
3. Statement: 1 > 2 ≤ 3 > 4 ≥ 6 > 8 ≤ 9
Conclusions: i) 3 > 6 ii) 1 < 6
A) Only i follows B) Only ii follows C) Either i or ii follows D) Both i and ii follows E) Neither i nor ii follows
Sol: For conclusion (i) 3 > 6 Here, in between 3 and 6 same signs are there.
3 > 6 is satisfied For conclusion (ii) 1 < 6 Here, in between 1 and 6 opposite signs are there.
1 < 6 is not satisfied Only (i) follows
Ans: A
4. Statement: P > Q ≥ R < S ≤ W ≥ T ≥ U > X ≥ Y Conclusions: i) S ≥ U ii) Q > Y
A) Only i follows B) Only ii follows C) Either i or ii follows D) Neither i nor ii follows E) Both i and ii follows
Sol: For conclusion (i) S ≥ U (S ≤ W ≥ T ≥ U)
In between S and U opposite signs are there. Thus no relationship can be formed.
For conclusion (ii) Q > Y (Q ≥ R < S ≤ W ≥ T ≥ U > X ≥ Y)
In between Q and Y opposite sings are there. Thus no relationship can be formed Neither (i) nor (ii) follows.
Ans: D
5. Statements: P < Q, Q ≤ R , R = S, S > T
Conclusions: i) P < S ii) Q > T
A) Only i follows B) Only ii follows C) Either i or ii follows D) Neither i nor ii follows E) Both i and ii follows
Sol: By combining all statements, we get following equation
P < Q ≤ R = S > T
For conclusion (i) P < S
Here, the common sign between P and S is “<”. thus P < S “
conclusion (i) follows.
For conclusion (ii) Q > TT Here, we can see the opposite signs between Q and T.
Thus no relationship can be established between them. Hence, only (i) follows.
Ans: A
6. Statements: x > y ≤ z, w > z, w ≤ t
Conclusions: i) x < w ii) y < t
A) Only i follows B) Only ii follows C) Either i or ii follows D) Neither i nor ii follows E) Both i and ii follows
Sol: x > y ≤ z, w > z, w ≤ t
By combining the all statements, we get following equation.
x > y ≤ z < w ≤ t
For conclusion (i) x < w
Here, opposite signs between X and W.
Thus no relationship can be established between them.
For conclusion (ii) y < t
In the above equation, there is common sign between Y and T.
Hence conclusion (ii) follows.
Ans: B
7. Statements: m > n, n ≤ t, t = q, q > r
Conclusions: i) n < q ii) n = q
A) Only i follows B) Only ii follows C) Either i or ii follows D) Neither i nor ii follows E) Both i and ii follows
Sol: By combining the all statements, we get following equation.
m > n ≤ t = q > r
For conclusion (i) n < q
For conclusion (ii) n = q
from the above statements, we get n ≤ q.
n ≤ q consisting of n < q and n = q
Either (i) or (ii) follows
Ans: C
8. Statements: 1 > 2 ≤ 4, 4 < 5 > 6, 6 > 8, 8 ≤ 9
Conclusions : i) 1 < 5 ii) 1 ≥ 9
A) Only i follows B) Only ii follows C) Either i or ii follows D) Neither i nor ii follows E) Both i and ii follows
Sol: By combining all the statements
1 > 2 ≤ 4 < 5 > 6 > 8 ≤ 9
For conclusion (i) 1 < 5
Here, opposite signs between 1 and 5. Thus no relationship can be established between them
For conclusion (ii) 1 ≥ 9 Here, opposite signs between 1 and 9. there is no relation between them.
conclusions (i) and (ii) are not satisfied. Neither (i) nor (ii) follows
Ans: D
9. Statements: Cat > Dog, Dog ≥ Lion = Pet, Pet ≥ Pen ≥ Tiger
Conclusions: i) Cat > Tiger
ii) Dog ≥ Pen
A) Only i follows B) Only ii follows C) Either i or ii follows D) Neither i nor ii follows E) Both i and ii follows
Sol: By combining all the statement Cat > Dog ≥ Lion = Pet ≥ Pen ≥ Tiger
For conclusion (i) Cat > Tiger
Here, common sign between Cat and Tiger. conclusion (i) follows
For conclusion (ii) Dog ≥ Pen conclusion (ii) also follows Hence, Both (i) and (ii) follows
Ans: E
Directions (Q.10-13): Study the given information carefully and answer the questions given below.
A $ B means A either smaller than or equal to B.
A # B means A either greater than or equal to B.
A@B means A greater than B.
A ! B means A less than B.
A ∗ B means A equals to B.
10. Statement: P # Q @ R ∗ S $ T
Conclusions: i) P @ S ii) Q ! T
A) Only i follows B) Only ii follows C) Either i or ii follows D) Neither i nor ii follows E) Both i and ii follows
Sol: P # Q @ R ∗ S $ T
Symbols are substituted with signs.
$ # @ ! ∗
≤ ≥ > < =
P ≥ Q > R = S ≤ T
For Conclusion (i): P@S P > S
Here, P and S same sign are there The conclusion (i) follows.
For conclusion (ii) Q ! T (Q < T)
Here, Q and T opposite signs are there.
conclusion (ii) does not follows
Ans: A
11. Statement: U @ W $ X ! Y # Z
Conclusions: i) U @ Z ii) X @ Y
A) Only i follows B) Only ii follows C) Either i or ii follows D) Neither i nor ii follows E) Both i and ii follows
Sol: $ # @ ! ∗
≤ ≥ > < =
U > W ≤ X < Y ≥ Z
For conclusion (i): U @ Z (U > Z) (ii) X @ Y (X > Y)
In between U and Z: Opposite signs between U and Z.
X and Y opposite signs between x and y.
Both Conclusion (i) & (ii) does not follows
Ans: D
12. Statement: M ! N ∗ O $ P # Q
Conclusions: i) M ! P ii) O ∗ Q
A) Only i follows B) Only ii follows C) Either i or ii follows D) Neither i nor ii follows E) Both i and ii follows
Sol: $ # @ ! ∗ ≤ ≥ > < =
M < N = O ≤ P ≥ Q
For conclusion (i): M ! P (M < P)
In between M and P same signs are there. the conclusion (i) follows,
For conclusion (ii) O ∗ Q (O = Q)
In between O and Q Opposite signs are there. There in no relation between O and Q. Hence, conclusion (i) follows.
Ans: A
13. Statement: M $ N @ O ! Q ∗ R
Conclusions: i) M $ Q ii) N ! O
A) Only i follows B) Only ii follows C) Either i or ii follows D) Neither i nor ii follows E) Both i and ii follows
Sol: $ # @ ! ∗
≤ ≥ > < =
M ≤ N > O < Q = R
For conclusion (i) M $ Q (M ≤ Q]
(ii) N ! O (N < O]
In the above two conclusions opposite signs are between subject and predicate. Thus no relationship can be formed. So that both conclusions are not satisfied. Neither (i) nor (ii) follows.
Ans: D
