Directions:(1-10) In each of the following questions, relationship between different elements is shown in the statements followed by conclusions. Find the conclusion which is definitely true.
Give answer:

1.
Statements:
C ≥ D ≤ F < E;  M ≥ F < L;   D > N ≥ O
Conclusions:
I). C > N
II). M > O

Ans: 5
I. C > N (C ≥ D > N) –>True
II. M > O (M ≥ F ≥ D > N ≥ O) –>True

2.
Statements:
B ≥ A > C = O;   A < L ≥ M;   C ≤ N ≤ Z
Conclusions:
I). B ≤ M
II). O ≤ Z

Ans: 2
I. B ≤ M (B ≥ A < L ≥ M) –>False
II. O ≤ Z (O = C ≤ N ≤ Z) –>True

3.
Statements:
Z < O > P ≥ K < N;   K ≤ L < M ≤ C;  B ≥ Q < O
Conclusions:
I). B > P
II). C ≥ P

Ans: 4
I. B > P (B ≥ Q < O > P) –>False
II. C ≥ P (P ≥ K ≤ L < M ≤ C) –>False

4.
Statements
K > O ≥ L ≥ A ≤ C;   N ≥ O ≤ W ≤ V;  X > Y < A
Conclusions:
I). V > A
II). V = A

Ans: 3
I. V>A (V ≥ W ≥ O ≥ L ≥ A) –>False
II. V=A (V ≥ W ≥ O ≥ L ≥ A) –>False

5.
Statements:
D ≥ P ≥ G ;   P < M < R > F ;   R < T
Conclusions:
I) D > T
II) G < T

Ans: 2
I) False
II) True

6.
Statements:
K ≥ D ≤ P < W ;   D ≤ Q ≤ S ;   P < M ≤ U
Conclusions:
I) U > D
II) Q > W

Ans:  1
I) True
II) False

7.
Statements:
G ≥ V < M < L ;   V ≥  Z ≥  P ;   L ≤ K < F
Conclusions:
I) P ≤ G
II) F > P

Ans: 5
I) True
II) True

8.
Statement:
A ≤ B ≤ C = D ≤ E;    C < H < J
Conclusion:
I) H < E
II) J > A

Ans: 2
I) H < E (H > C = D ≤ E) -> False
II) J > A (A ≤ B ≤ C < H < J) -> True
So, only conclusion II follows

9.
Statement:
Q ≤ W = D ≥ V;          G ≥ W = F < S
Conclusion:
I) S ≤ Q
II) F < Q

Ans: 4
I) S ≤ Q (Q ≤ W = F < S) -> False
II) F < Q (Q ≤ W = F) -> False
So, neither conclusion I nor II follows

10.
Statement:
P ≥ D = V ≥ N > A;    K ≥ I = F ≤ D
Conclusion:
I) P ≥ I
II) P < I

Ans: 1
I) P ≥ I (I = F ≤ D ≤ P) -> True
II) P < I (I = F ≤ D ≤ P) -> False
So, only conclusion I follows

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8 thoughts on “Inequality”

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