Reasoning: Inequalities Questions for Upcoming Exam – Set 21

Directions (1-5): Based on the given data answer the following questions :
‘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 smaller than nor greater than Q’
‘P % Q’ means ‘P is not greater than Q’

1. Which of the given symbols can be placed in blank spaces respectively (in the same order from left to right) such that all the three expressions A$B, C#A and D@C definitely holds true? E _C _B _D _A
   ! , # , $ , %
   # , # , % , %
   ! , # , % , $
   Either 1 or 2 or 3
   None of these
   Option D
   

    

2. Which of the given symbols can be placed in blank spaces respectively (in the same order from left to right) such that all the expression A@B is definitely true and Either B$C or B#C is true? C_D_B_E_A
   $ , ! , @ , #
   $ , $ , # , %
   ! , ! , % , %
   ! , $ , % , $
   $ , ! , # , %
   Option E
   

    

3. Which of the given symbol must be placed in blank which is between Q and R such that all the three expressions T!R, Q#T and S@V definitely holds true? P _ Q _ R _ S _ T
   !
   @
   #
   $
   %
   Option C
   To satisfy T ! R, # must be in between.

    

4. STATEMENTS: A ! B ; C @ D ; A ! E ; B ! C ; F $ B
   CONCLUSIONS:
   a) C @ E
   b) E @ B
   c) B @ D
   d) F @ A
   a is true
   b is true
   c is true
   b or c is true
   none of these
   Option C
   

    

5. What symbol will come in between B and C such that all the given expressions D@B, B!C, B%D, A!C are definitely false? A!B _ C%D
   !
   @
   #
   $
   %
   Option B
   

    

6. STATEMENT: A≥B≥C>D≤E≤F
   CONCLUSIONS:
   a) A>E
   b) B≤F
   a is true
   b is true
   Both a and b are true
   Either a or b are true
   Neither a nor b are true
   Option E
   

    

7. Which of the following expression is definitely true based on A<B≤C=D≥E ; F≥D<G ; B>H<I?
   a) F>B
   b) B>G
   c) F>H
   a is true
   b is true
   c is true
   a and b are true
   none are true
   Option C
   

    

8. STATEMENT: A≥B>C<D≤E
   CONCLUSIONS:
   a) E>C
   b) E>B
   c) C<A
   d) B>A
   a is true
   b is true
   a and b are true
   a and c are true
   All are true
   Option D
   

    

9. STATEMENT: A<B≥C>D≤E
   CONCLUSIONS:
   a) E≥C
   b) A<C
   c) B>D
   d) D<A
   a is true
   b is true
   c is true
   d is true
   a and b are true
   Option C
   

    

10. STATEMENT: P<Q≤R=S ; Q=T
    CONCLUSIONS:
    a) S>P
    b) T≤R
    a is true
    b is true
    Either a or b is true
    Both a and b are true
    Neither a nor b are true
    Option D