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
