Q1. Statement: R < O ≤ L ≤ E; G = E ≥ S; P ≤ S
Conclusions:
I. R > P
II. P ≤ E
(A) Both conclusion I and II are true.
(B) Either conclusion I or II is true.
(C) Only conclusion I is true.
(D) Neither conclusion I nor II is true.
(E) Only conclusion II is true.
EXPLANATION
Correct Option: E
Given statements: R < O ≤ l ≤ E …(i)
G = E ≥ S …(ii)
P ≤ S …(iii)
Combining (i), (ii) and (iii) , we get
R < O ≤ L ≤ E = G ≥ S ≥ P
Hence, only conclusion II is true.
Q2. Statements: A > B ≤ C = D ≤ E, C ≥ F = G > H
Conclusions:
I. C < H
II. A > H
(A) If only conclusion I is true
(B) If only conclusion II is true
(C) If either conclusion I or II is true
(D) If neither conclusion I nor II is true
(E) If both conclusion I and II are true
EXPLANATION
Correct Option: D
Given Statements:
A > B ≤ C = D ≤ E ….(i)
C ≥ F = G > H …(ii)
Combining (i) and (ii), we get
A > B ≤ C ≥ F = G > H
As the relation between C & H clearly confirms that C is greater than H while the given conclusion states that C is less than H.
Hence C1 doesn’t follow.
As it’s clear that inequality signs are opposite, we therefore can’t find a definite relationship between A & H.
Q3. Statements: H ≥ T > S ≤ Q, T ≥ U = V > B
Conclusions:
I. V > S
II. B ≤ H
(A) If only conclusion I is true
(B) If only conclusion II is true
(C) If either conclusion I or II is true
(D) If neither conclusion I nor II is true
(E) If both conclusions I and II are true
EXPLANATION
Correct Option: D
Given Statements:
H ≥ T > S ≤ Q …(i)
T ≥ U = V > B …(ii)
Combining (i) and (ii), we get
H ≥ T ≥ U = V > B
As we can see that the relationship between B & H clearly concludes that B is only less than H (B < H). Therefore C2 (B ≤ H) is not true.
Again, from (i) and (ii), we get
S < T ≥ U = V
As it’s clear that inequality signs are opposite, we therefore can’t find a definite relationship between V & S. Hence CI (V > S) is not true.
Q4. Statements: L ≥ A ≥ C , K = Y ≤ C , H > D ≤ K , A > E < Y
Conclusions:
I. D < A
II. A = D
III. L > Y
(A) All the conclusions follow
(B) Either conclusion I or II follows
(C) Only conclusion III follows
(D) Only conclusions II and III follow
(E) None of the conclusions follows
EXPLANATION
Correct Option: B
Statements: L ≥ A ≥ C , K = Y ≤ C , H > D ≤ K
Conclusions: D < A , A = D , L > Y
For conclusion I: D < A
From statements I, II and III, we get:
D ≤ K = Y ≤ C ≤ A
Here, the common sign between D and A is ‘≤’, hence D ≤ A.
Thus conclusion I does not follow individually.
For conclusion II: A = D
From statements I, II and III, we get:
D ≤ K = Y ≤ C ≤ A
Here, the common sign between D and A is ‘≤’, hence D ≤ A.
Thus conclusion II does not follow individually.
On combining conclusion I and II we get D ≤ A.
Therefore either conclusion I or II follows.
For conclusion III: L > Y
From statements I and II, we get:
Y ≤ C ≤ A ≤ L
Thus the common sign between Y and L is ‘≤’, Therefore Y ≤ L is the true relationship
Hence conclusion III does not follow.
Therefore either conclusion I or II follows.
Hence option B is correct.
