*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

**Conclusions:**I.H©D II H©N

**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

**Conclusions:**[email protected] II.T©B

Answers

**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