# Inequalities 7

Directions (1-5): In the following questions, the symbols @, #, %, \$ and © are used with the following meaning as illustrated below:
‘P # Q’ means ‘P is neither greater than nor equal to Q’.
‘P © Q’ means ‘P is neither equal to nor smaller than Q’.
‘P % Q’ means ‘P is neither smaller than nor greater than Q’.
‘P \$ Q’ means ‘P is not smaller than Q’.
‘P @ Q’ means ‘P is not greater than Q’.
Now in each of the following questions, assuming the given statements to be true, find which of the three conclusions I, II and III given below them is/are definitely true and give your answer accordingly.

Q1. Statements: X @ Y Y © W, B \$ W
Conclusions: I. W # X II. B © Y III. W \$ X
(a) None is true
(b) Only I is true
(c) Only III is true
(d) Only either I or III is true
(e) All are true

Q2. Statements: A \$ B, B % M, K © M
Conclusions: I. K © B II. M @ A III. A © K
(a) Only I and III are true
(b) Only II and III are true
(c) Only I and II are true
(d) All are true
(e) None of these

Q3. Statements: K # T, T \$ X, [email protected] Y
Conclusions: I. Y \$ T II. K # X III. T \$ Y
(a) None is true
(b) Only I is true
(c) Only I and II are true
(d) Only II and III are true
(e) All are true

Q4. Statements: A # F,  R @ F,  B © R
Conclusions: I. A # R II. F # B III. B © A
(a) None is true
(b) Only I is true
(c) Only III is true
(d) Only either I or III is true
(e) All are true

Q5. Statements: A © R, R % B, B @ N
Conclusions: I. A © N II. N \$ R III. A© B
(a) Only I and II are true
(b) Only II and III are true
(c) Only I and III are true
(d) All are true
(e) None of these

1. Ans.(d)
Sol. Statement- X  ≤ Y > W ≤ B
Conclusion- W<X, B>Y, W≥X

2. Ans.(c)
Sol. Statement- A  ≥ B = M < K
Conclusion- K>B, M≤A, A>K

3. Ans.(a)
Sol. Statement- K < T ≥ X ≤ Y
Conclusion- Y≥T, K<X, T≥Y

4. Ans.(a)
Sol. Statement- A < F ≥ R < B
Conclusion- A<R, F<B, B>A

5. Ans.(b)
Sol. Statement- A > R = B ≤ N
Conclusion- A>N, N≥R, A>B