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

1.
Statements:
A > B = C > D ≤ E = F < H < G
Conclusions:
I) A > D
II) D < G

Ans: 5
A > B = C > D ≤ E = F < H < G
I) A > D (A > B = C > D)–> True
II) D < G (D ≤ E = F < H < G)–>True
So, conclusions both I and II follows.

2.
Statements:
M ≤ N < O < P = R > Q; P < I < U = S
Conclusions:
I) M < S
II) N > I

Ans: 1
M ≤ N < O < P = R > Q; P < I < U = S
I) M < S (M ≤ N < O < P < I < U = S)–>True
II) N > I (N < O < P < I) –>False
So, conclusions only I follow.

3.
Statements:
G = H ≤ I < J ≥ K > L ≥ M = N
Conclusions:
I) G > M
II) G ≤ N

Ans: 3
G = H ≤ I < J ≥ K > L ≥ M = N
I) G > M (G = H ≤ I < J ≥ K > L ≥ M) –>True/False
II) G ≤ N (G = H ≤ I < J ≥ K > L ≥ M = N)–>True/False
So, conclusions either I or II follows.

4.
Statements:
S ≥ N > O = K > Y ≤  Z;         M  ≥ C = K ≤ T ≥ E
Conclusions:
I) N > E
II) E ≥ N

Ans: 3
S ≥ N > O = K > Y ≤ Z; M ≥ C = K ≤ T ≥ E
I) N > E (N > O = K ≤ T ≥ E)
II) E ≥ N (N > O = K ≤ T ≥ E)
So, either conclusion I or II follows.

5.
Statements:
P ≥ K > D ≤ F < I = Q < O < C > A
Conclusions:
I) P ≤ F
II) Q < C

Ans: 2
P ≥ K > D ≤ F < I = Q < O < C > A
I) P ≤ F (P ≥ K > D ≤ F)–> False
II) Q <C (Q < O < C)–> True
So, only conclusion II follows.

6.
Statements:
G < H < T ≤ I;             H ≥ R > F;                    T  ≤  P
Conclusions:
I) G < R
II) T > F

Ans: 2
I). G < R (G < H ≥ R) False
II). T > F (F < R ≤ H < T ≤ I) True

7.
Statements:
J < K < A ≤  Z;                        K  ≥  L > B;                  A ≤  D
Conclusions:
I) A  ≤  L
II) Z  ≥  D

Ans: 4
I). A ≤ L (Z ≥ A > K ≥ L > B) False
II). Z ≥ D (Z ≥ A ≤ D) False

8.
Statements:
R > S > T ≤ U;                        T ≥ V = J;                    S > Q
Conclusions:
I) R > U
II) U ≥ J

Ans: 2
I). R > U (R > S > T ≤ U) False
II). U ≥ J (U ≥ T ≥ V = J) True

9.
Statements:
M ≥ S > F = Z < K ≤ N ≥ C > T < Q
Conclusions:
I) M ≥ Z
II) K ≤ T

Ans: 4
M ≥ S > F = Z < K ≤ N ≥ C > T < Q
I) M ≥ Z (M ≥ S > F = Z)–> False
II) K ≤ T (K ≤ N ≥ C > T)–> False
So, neither conclusion I nor II follows.

10.
Statements:
U = H < O ≤ P > R < Y = W ≤ D < E
Conclusions:
I) U < P
II) W > R

Ans: 5
U = H < O ≤ P > R < Y = W ≤ D < E
I) U < P (U = H < O ≤ P) –> True
II) W > R(R < Y = W) –> True
So, both the conclusions I and II follows.

8 thoughts on “Inequality”

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