# Inequalities Set 30

Directions (1-5): In the following questions the symbols \$, #, @, % and  are used with the following meanings illustrated as below:
‘A \$ B’ means ‘A is not smaller than B’.
‘A # B’ means ‘A is neither greater than nor equal to B’.
‘A @ B’ means ‘A is neither smaller than nor equal to B’.
‘A % B’ means ‘A is not greater than B’.
‘A «B’ means ‘A is neither greater than nor smaller than B’.
In each of the following questions assuming the given statements to be true, find out which of the three conclusions I, II and III given below them is/are definitely true and indicate your answer accordingly.
Q1. Statements:
« J, J @ O, O \$ Y, Y # T
Conclusions:
I. W @ Y
II. Y « W
III. T @ O
(a) Either I or II only
(b) I and II only
(c) I only
(d) II and III only
(e) None is true
Q2. Statements:
A @ B, B # P, P % N, N @ G
Conclusions:
I. A @ N
II. B @ G
III. A # P
(a) I only
(b) II and III only
(c) Either I or III only
(d) All I, II and III
(e) None of true
Q3. Statements:
K # N, N % I, I « G, G# O
Conclusions:
I. K # I
II. K « I
III. N % O
(a) I only
(b) Either I or II only
(c) III only
(d) All I, II and III
(e) None is true
Q4. Statements:
U @ S, N % S, N \$ I, T « N
Conclusions:
I. U \$ I
II. U @ I
III. S \$ T
(a) II and III only
(b) II only
(c) III only
(d) III and either I or II
(e) None is true
Q5. Statements:
P @ G, G # W, W « U, U % T
Conclusions:
I. T @ P
II. T « G
III. T @ G
(a) I and II only
(b) II and III only
(c) Either II or III only
(d) III only
(e) None is true

1. Ans.(c)
Sol.   W = J > O ≥ Y < T

2. Ans.(e)
Sol.   A > B < P ≤ N > G

3. Ans.(a)
Sol.   K < N ≤ I = G < O

4. Ans.(a)
Sol. U > S ≥ N ≥ I, T = N

5. Ans.(d)
Sol.  P > G < W = U ≤ T