# Inequalities Set 20

Directions (1-5): In the following questions, the symbols @, ©, \$, %, and * are used with the following meanings as illustrated below:
‘P © Q’ means ‘P is not greater than Q’.
‘P % Q’ means ‘P is not 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’.
‘P \$ Q’ means ‘P is neither greater than nor smaller than Q.’
Now in each of the following questions, assuming the given statement to be true, find which of the two conclusions I and II given below them is/are definitely true.
(a) If only Conclusion I is true.
(b) If only conclusion II is true
(c) If either conclusion I or II is true
(d) if neither Conclusion I nor II is true.
(e) if both Conclusions I and II are true.

Q1. Statements : K @ V, V © N, N % F
Conclusions : I. F @ K
II. K @ N

Q2. Statements : H © W, W \$ M, M @ B
Conclusions : I. M *H
II. W % H

Q3. Statements : D % B, B* T, T \$ M
Conclusions : I. M © D

Q4. Statements : M* T, T @ K, K © N
Conclusion : I. N* K
II. N* M
Q5. Statements : R \$ J, J % D, D *F
Conclusions : I. J* F
II. F @ R

1. Ans.(b)
Sol.Conclusions : I. F @ K ( Not True )
II. K @ N(  True )
2. Ans.( b)
Sol.Conclusions : I. M* H( Not True )
II. W % H(  True )
3. Ans.(b)
Sol.Conclusions : I. M © D( Not True )
II. B © D(  True )
4. Ans.(d)
Sol.Conclusion : I. N * K( Not True )
II. N * M( Not True )
5. Ans.(e)
Sol.Conclusions :  I. J  *F ( True )
II. F @ R(  True )