# Inequalities Set 13

Directions (1-5): In the following questions the symbols @, +, ©, \$, ∆ and ? are used with the following meaning:
P ∆ Q means P is not equal to Q.
P @ Q means P is greater than Q.
P + Q means P is smaller than Q.
P © Q means P is either greater than or equal to Q.
P \$ Q means P is either smaller than or equal to Q.
P ? Q means P is equal to Q.
Now in each of the following questions assuming the given statements to be true, ﬁnd which of the two conclusions I and ll given below them is/are deﬁnitely true. Give answer
a)if only conclusion I is true.
b)if only conclusion II is true.
c)if either conclusion l or ll is true. .
d)if neither conclusion I nor ll is true.
e)if both conclusions I and ll are true.
Q1. Statements:K © M, M ∆ R, R ? T
Conclusions: I. K © T II. M ? T
Q2. Statements: B+D, [email protected], N\$H

Q3. Statements: M©K, [email protected], P\$N
Conclusions: I. [email protected] II.M?N
Q4. Statements: T\$M, M?Q, Q+R
Conclusions: I. Q @ T II.Q ? T
Q5. Statements: D @ B, B\$T, T + M

Solution(1-5):
∆—-   ≠
@—-    >
+ —-    <
\$ —–  ≤
? ——  =

1. Ans.(d)
Sol. Statement-K≥M≠R=T
Conclusion- K≥T, M=T
2. Ans.(b)
Sol. Statement- BN≤H
Conclusion- H≥D, H≥N

3. Ans.(d)
Sol. Statement-M≥K>P≤N
Conclusion- M>N, M=N
4. Ans.(c)
Sol. Statement- T≤M=Q

Conclusion- Q>T, Q=T
5. Ans.(e)
Sol. Statement-D>B≤T

Conclusion- M>B, T≥B