Inequalities

1.
Statements:
G > S > T; Z > R≥X = F; M < F; T ≥ M

Conclusions :
1) S > Z
2) M < G

Ans:2
Z > R ≥ X = F>M< T<SRelation between S and Z cannot be established. So conclusion 1 doesn’t follow.G > S > T ≥M
So clearly G is greater than M. So conclusion 2 follows.

2.

Statements: A=B≥C<D=E≤F

Conclusions:

I. F > B

II. B ≥ D

Ans:4
B≥C<D=E≤FRelation between B and F cannot be established. So conclusion I doesn’t follow.B≥C<D
Relation between B and D cannot be established. So conclusion II doesn’t follow.

3.

Statements:

P > M > Q, N < Z < Q

Conclusions:

I. M ≥ Z

II. N < P

Ans:2
M > Q > Z so M>Z.M ≥ Z is not true.P > M > Q > Z > N
Hence N<P.

So conclusion II follows

4.

Statements:

X > Y, Y ≥ Z, Z = V, V < W

Conclusions:

I. Y = V

II. Y > V

Ans:3
Y ≥ Z = V so Y ≥ V.Hence either conclusion I or II follows.

5.

Statements:

D > B, K ≤ N, B < C, N < B

Conclusions:

I. D > N

II. C ≥ K

Ans:1
D > B > ND > N. So conclusion I followsC > B > N ≥ K
C > K. So conclusion II doesn’t follow.

Directions:(6-10) In the following questions, a statement is followed by two conclusions I and II. Choose the correct option based on the given conclusions.

6.

Statements: A=B≥C<D=E≤F

Conclusions:

I. F > B

II. B ≥ D

Ans:4
F>B not true.B ≥ D not true

7.

Statements:

A > B > C, D > C, D > E > F

Conclusions:

I. E > C

II. F > B

Ans:4
C < D > ERelation between C and E cannot be established. So conclusion I doesn’t follow.
B > C < D > E > F
Relation between B and F cannot be established. So conclusion II doesn’t follow.

8.

Statements:

K < L, K > M, M ≥ N, N > O

Conclusions:

I. O < M

II. O < K

Ans:5
M ≥ N > OHence O < MK > M ≥ N > O
Hence O < K

9.
Statements:

K ≥ N, B < C, D > B, C > K, N < B

Conclusions:

I. C > N

II. B > K

Ans:1
C > K, K ≥ NSo, C > N. So conclusion I followsK ≥ N < B
Relation between B and K cannot be established. So conclusion II doesn’t follow.

10.

Statements:

P > M > Q, N < Z < Q

Conclusions:

I. M ≥ Z

II. N < P

Ans:1

Solution :
P > M > Q > Z > NM ≥ Z not trueN < P true