__Reasoning Ability Inequalities Practice Questions – Set 9__**Directions (1 – 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’

**1. Statements:**

**L @ K $ M % N, K & O $ J, P & M # Q**

**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.

**2. Statements:**

**L @ K $ M % N, K & O $ J, P & M # Q**

**Conclusions:**

**L $ M, O % N**

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

**3. Statements:**

**L @ K $ M % N, K & O $ J, P & M # Q**

**Conclusions:**

**L @ P, L # Q**

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.

**4. Statements:**

**L @ K $ M % N, K & O $ J, P & M # Q**

**Conclusions:**

**P # N, P % N**

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.

**5. Statements:**

**L @ K $ M % N, K & O $ J, P & M # Q**

**Conclusions:**

**O $ P, O $ N**

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.

**Directions (6 – 10):**

**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’

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

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

**7. 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

**8. 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

**9. 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

**10. Statements:**

**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.

**Answers:**

**1. B)**L≤ K < M= N, K ≥ O < J, P ≥ M>Q

L≤ K < M = N, O≤ K < M

**2. A)**L≤ K < M= N, K ≥ O < J, P ≥ M>Q

L≤ K < M, O≤ K < M= N

**3. E)**L ≤ K < M= N, K ≥ O < J, P ≥ M >Q

L ≤ K < M ≤ P, L ≤ K < M > Q

**4. C)**L ≤ K < M= N, K ≥ O < J, P ≥ M >Q

P ≥ M = N

**5. D)**L ≤ K < M= N, K ≥ O < J, P ≥ M >Q

O ≤ K < M ≤ P, O ≤ K < M= N

**6. C)**J<K

J=P>L≥K≤M

J<P≥L=M≤K

J≤P=L<K≤M

J≥P=L≤M<K

**7. D)**A≤B

C<A<D=B>E

A>D<B≤C≥E

D=B≤C=A>E

E<A≤C=D≤B

**8. D)**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

**9. D)**1≤3>4=5≤6<8>2<7

4<8

4≤6

3>5

6<3

**10. E)**L>K<M≤N=K=O<J

L<N, O≤M