# Solved Example

**Read the following instructions:**

A@B means “A is greater than B”

A#B means “A is smaller than B”

A$B means “A is equal to B”

**Statements:**

**I. X@Y, Y@Z**

II. M$N, N$P

II. M$N, N$P

**Conclusions:**

**A. Z#X ---------- True (Z is smaller than X)**

**B. P$M---------- True ( P=M)**

**C. X$Z------------ False (X is not equal to Z)**

**Illustration 2**

In the following questions, the symbols $, @, ©, % and * are used with the following meaning as illustrated below:

‘**P$Q**’ means ‘P is not smaller than Q’

‘**P@Q**’ means ‘P is not greater than Q’

‘**P©Q**’ means that ‘P is neither greater than nor smaller than Q’

‘**P%Q**’ means ‘P is neither smaller than nor equal to Q’

‘**P*Q**’ means ‘P is neither greater than nor 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 II given below them is/are definitely true?Give answer (a) if only conclusions I is true.

Give answer (b) if only conclusion II is true. Give answer (c) if either conclusion I or II is true. Give answer (d) if neither conclusion I nor, II is true. Give answer (e) if both the conclusion I and II are true.

**Statements:** K @ B, B * J, J © T

**Conclusions:** I. K*T II. B@T

**Statements:** F $ M, M @ L, L*W

**Conclusions:** I. W$M II. F@L

**Statements:** R * Q, Q @ F, F % A

**Conclusions:** I. R©A II. R*F

**Statements:** V $ X, X © Y, Y % H

**Conclusions:** I. Y@V II. H*V

**Statements:** M @ B, B * A, A @ F

**Conclusions:** I. M*A II. B*F

**(1 to 5):** P$Q------P ≥ Q P@Q ---- P ≤ Q P©Q ------P = Q P%Q ------P > Q P*Q ------ P < Q

- (a) : K @ B – K ≤ B…..(I)
- (d) : F $ M ---------- F ≥ M
- (b) : R * Q ------ R < Q
- (e) : V $ X ----- V ≥ X
- (e): M @ B ---- M ≤ B