Directions:(1-5)In the following question assuming the given statements to be true, find which of the conclusion among given conclusions is /are definitely true and then give your answers accordingly.

1.
Statement:
E = OE < J < I ≤ B; C > L > K > O; J = L; C < M > B
Conclusion:
I. C > I
II. I = C

Ans: 5
Given statement: E = O; E < J < I ≤ B; C > L > K > O; J = L; C < M > B
On combining: E = O < K < J = L < I ≤ B < M; C > L; C < M
I. C > I → False (L < I; L < C, → There is no relation between C and I)
II. I = C → False (L < I; L < C, → There is no relation between C and I)
Hence, neither I nor II follow.

2.
Statements:
P < L < A = N > E > D; Q > N < O
Conclusions:
I) L < E
II) P < Q

Ans: 2
Given statements: P < L < A = N > E > D; Q > N < O
On combining: P < L < A = N < Q; O > N > E > D
I) L < E → False (as, L < A = N > E → No relation found between L and E)
II) P < Q → True (as, P < L < A = N < Q → P < Q)
Therefore, only Conclusion II is true.

3.
Statements: T < G < Q;          M = W > Y;        Q = L  ≥  K < Y
Conclusions:
I)T < L
II) K < M

Ans: 5
For conclusion I: T < L
Combining statement I and III we get,
T < G < Q = L
Here, the common sign between T and L is ‘<’ and the given conclusion is T < L, hence conclusion I follows.
For conclusion II: K < M
Combining statements II and III we get,
K < Y < W = M
Here, the common sign between K and M is ‘<‘ and the given conclusion is K < M, hence conclusion II follows
Hence, the correct answer would be both conclusions I and II follow.

4.
Statements: S > J = B < E;      M > D = U;       E > W > U
Conclusions:
I) E > D
II) B > M

Ans: 1
For conclusion I: E > D
From statements II and III: E > W > U = D, we get common sign of ‘>’ between E and D, hence, E > D follows.
For Conclusion II: B > M
From statements I, II and III: M > D = U < E > B, we get opposite signs between B and M, hence, B > M does not follow.
Hence, the correct answer would be only conclusion I follow.

5.
Statements: A = X  ≥ L;         E  ≤  J  ≤  F;        L  ≥ Z = E
Conclusions:
I) A < Z
II) Z > F

Ans: 4
For conclusion I: A < Z
Combining statements I and III, we get:
A = X ≥ L ≥ Z
Here, the common sign between A and Z is ‘≥’ and the given conclusion is A < Z, hence, A < Z does not follows.
For conclusion II: Z > F
Combining statements II and III, we get:
Z = E ≤ J ≤ F
Here, common sign between Z and F ‘≤’ and the given conclusion is Z > F, hence, Z > F does not follows.
Hence, the correct answer would be neither conclusion follows.

Directions:(6-10) In these questions relationship between different elements is shown in the statements. Study the conclusions based on the given statement and select the appropriate answer.

6.
Statements:
A < D = M ≥ R; S ≥ M ≥ N
Conclusions:
I. R < S
II. R = S

Ans: 2
S ≥ M ≥ R
Conclusions:
I. R < S ( Not True )
II. R = S (Not True)

7.
Statements:
E > Z = U ≥ T; Y > U ≥ X
Conclusions:
I. E > Y
II. E > X

Ans: 5
Conclusions:
I. E > Y (Not True) (E > U <Y)
II. E > X (True) (E > U ≥ X)

8.
Statements:
A ≥ B ≤ C = T, A < L ≥ V
Conclusions:
I. V ≤ C
II. C > V

Ans: 1
V ≤ L >A ≥ B ≤ C
Conclusions:
I. V ≤ C ( Not True )
II. C > V (Not True)

9.
Statements: 
D < E ≤ C; A > D; B ≥ C
Conclusions:
I. B > D
II. A ≥ C

Ans: 3
Conclusions:
A >D < E ≤ C≤ B
I. B > D (True)
II. A ≥ C (Not True)

10.
Statements:
D > E ≥ C; A > D; B ≥ C
Conclusions:
I. A > C
II. E < A

Ans: 4
A >D > E ≥ C
Conclusions:
I. A > C ( True )
II. E < A ( True )

8 thoughts on “Inequality”

Leave a Comment

Your email address will not be published. Required fields are marked *

Scroll to Top