Inequality Quiz For IBPS PO - Part 9

 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?

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

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

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

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

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.

Ans. E.
Solution:
L>K<M≤N=K=O<J
L<N, O≤M