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;               P ≥ Q > C;            B ≥ J > K
Conclusions: 
I.B > Q
II. P > D

Ans:2

  1. B > Q (B > Q < C)à False
  2. P > D (P ≥ Q > C = D)à True

So, only conclusion II follows.

2.

Statements:
S ≥ U > V;            A > V = M;            W = A > M
Conclusions:
I.S > M
II.W ≥ U

Ans:1

 

  1. S > M (S ≥ U > V =M) à True
  2. W ≥ U (W =A > V < U) à False

So, only conclusion I follow.

3.

Statements:
J < P ≤ S;             S > R = U;            C < E ≤ P
Conclusions:
I.S > C
II.E ≤ S

Ans:5

  1. S > C (S ≥ P ≥ E >C)à True
  2. E ≤ S (E ≤ P ≤ S)à True

So, both conclusions I and II follow.

4.

Statements:
S < B ≤ J;             B ≥ N ≥A;             D ≥ F ≥ J
Conclusions:
I.A = J
II.A < J

Ans:3

  1. A < J ( A ≤ N ≤ B ≤ J )à False
  2. A = J ( A ≤ N ≤ B ≤ J )à False

Since it follows either or condition; either conclusion I or II follows.

5.

Statements:
Q = B ≤ A < M;              Z ≥ A > X;             Y ≥ J > P ≥Q;
Conclusions:
I.B < Y
II.Z > Q

Ans:1

  1. B < Y (B = Q ≤ P < J ≤ Y)–> True
  2. Z > Q (Z≥A≥B=Q)–> False

So, Only conclusion I follows.

6.

Statements:
V = R > Q > P;                T ≥ W >O;            V ≥ T < S;
Conclusions:
I. V > W
II. V = W

Ans:3

  1. V > W (V ≥ T ≥ W)–> False
  2. V = W (V ≥ T ≥ W)–> False

Since it follows either or condition; either conclusion I or II follows.

7.

Statements:
X < L >P ≤R;                  Q ≥ C = K < X;        P = M;
Conclusions:
I. L ≥ Q
II. L > R

Ans:4

  1. L ≥ Q (L > X > K=C ≤ Q) –> False
  2. L > R (L > P ≤ R) –> False

So, neither conclusion I nor II follows.

8.

Statements:
A = B  < C  ≥ D;             P = Q  ≥ T;            X  < Y  ≤ Q < A;
Conclusions
I. D < P
II. T < C

Ans:2

  1. D < P (D ≤ C > B = A > Q = P )  –>  False
  2. T < C (T ≤ Q < A = B < C ) –> True

So, only conclusion II follows.

9.

Statements:
S≤W<T, A<H≥W
Conclusions:
I. T >A
II. S ≤ H

Ans:2

T> W ≤ H > A -> I. T > A – False
S ≤ W ≤ H->II. S ≤ H – True

So, only conclusion II follows.

10.

Statements:
G>Y=B, B<D, D≤S
Conclusions:
I. S > Y
II. G < D

Ans:1

 

G>Y=B <D ≤S ->I. S > Y – True
G>Y=B <D ≤S ->II. G < D- False

So, only conclusion I follow.

6 thoughts on “Inequality”

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