**Direction(Q1-5):**In the following questions, the symbols %, #, @, & and $ are used with the following meaning as illustrated below:

- ‘P % Q’ means ‘P is not greater than 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’
- ‘P < Q’ means ‘P is neither smaller than nor equal to Q’
- ‘P > Q’ means ‘P is not smaller than Q’

### Question.1:

In Which of the following expressions does the expression 'J $ K' to be definitely hold true?

J<K

J=P>L≥K≤M

J<P≥L=M≤K

J≤P=L<K≤M

J≥P=L≤M<K

A. J & P < L > K % M

B. J $ P > L & M % K

C. J % P & L $ K % M

D. J > P & L % M $ K

E. None of these

B. J $ P > L & M % K

C. J % P & L $ K % M

D. J > P & L % M $ K

E. None of these

**Ans. C.**

**Solution:**

J<K

J=P>L≥K≤M

J<P≥L=M≤K

J≤P=L<K≤M

J≥P=L≤M<K

### Question.2:

In Which of the following expressions does the expression 'A % B' to be definitely hold true?

A. C $ A $ D & B < E

B. A < D $ B % C > E

C. D & B % C & A < E

D. E $ A % C & D % B

E. None of these

A≤B

C<A<D=B>E

A>D<B≤C≥E

D=B≤C=A>E

E<A≤C=D≤B

A. C $ A $ D & B < E

B. A < D $ B % C > E

C. D & B % C & A < E

D. E $ A % C & D % B

E. None of these

**Ans. D.****Solution:**A≤B

C<A<D=B>E

A>D<B≤C≥E

D=B≤C=A>E

E<A≤C=D≤B

### Question.3

Which of the following symbols should replace the question mark (?) respectively in order to complete the given expression in such a manner that both P%S, as well as Q$M, definitely holds true?

P % Q & R ? S $ T, M ? R > U $ V

A. $, &

B. $, $

C. %, >

D. %, <

E. None of these

P≤S, Q<M

P≤Q=R<S<T, M=R≥U<V

P≤Q=R<S<T, M<R≥U<V

P≤Q=R≤S<T, M≥R≥U<V

P≤Q=R≤S<T, M>R≥U<V

###

P % Q & R ? S $ T, M ? R > U $ V

A. $, &

B. $, $

C. %, >

D. %, <

E. None of these

**Ans. D.****Solution:**P≤S, Q<M

P≤Q=R<S<T, M=R≥U<V

P≤Q=R<S<T, M<R≥U<V

P≤Q=R≤S<T, M≥R≥U<V

P≤Q=R≤S<T, M>R≥U<V

###

Question.4

Which of the following expressions is false if the expression 1%3<4&5%6$8<2$7 is definitely true?

A. 4$8

B. 4%6

C. 3<5

D. 6$3

E. None of these

1≤3>4=5≤6<8>2<7

4<8

4≤6

3>5

6<3

A. 4$8

B. 4%6

C. 3<5

D. 6$3

E. None of these

**Ans. D.****Solution:**1≤3>4=5≤6<8>2<7

4<8

4≤6

3>5

6<3

### Question.5

L < K $ M % N & K & O $ J

Conclusions: L $ N, O % M

A. Only I is true

B. Only II is true

C. Either I or II is true

D. Both I and II are true

E. Neither I nor II is true.

L>K<M≤N=K=O<J

L<N, O≤M

Conclusions: L $ N, O % M

A. Only I is true

B. Only II is true

C. Either I or II is true

D. Both I and II are true

E. Neither I nor II is true.

**Ans. E.****Solution:**L>K<M≤N=K=O<J

L<N, O≤M