Reasoning: Inequalities Questions for Upcoming Exam – Set 18

Directions (1-5): In the following questions, the symbols $, @, %, #, and * are used with the following meaning below :
A$B means “ A is not smaller than B”
A@B means “A is not greater than B”
A*B means “A is neither greater than nor equal to B”
A%B means “A is neither smaller than nor equal to B”
A#B means “A is neither smaller nor greater than B”

Now in each of following questions assuming the given statements to be true, fine which of conclusions A,B and C given below is/are definitely true.

1. Statements: C*O, O@E, E#D
   Conclusions:
   I. D#O
   II. D%O
   III. D%C
   A) All are true
   B) Only I is true
   C) Only II is true
   D) Only either I or II true
   E) Only either I or II & III are true
   
   View Answer

   Option E
   Explanation:
   C<O<=E=D
2. Statements: Z$J, J*N, N@S
   Conclusions:
   I. Z%N
   II. Z$S
   III. S%J
   A) Only I is true
   B) Only III is true
   C) Only II is true
   D) Only I and II are true
   E) None of these
   
   View Answer

   Option B
   Explanation: Z>=J<N<=S
3. Statements: 1@3, 3%8, 8#6
   Conclusions:
   I. 1*6
   II. 6%3
   III. 8%1
   A) None of true
   B) Only I is true
   C) Only II is true
   D) Only III is true
   E) Only II and III are true
   
   View Answer

   Option A
   Explanation: 1<=3>8=6
4. Statements: F#X, X$Y, Y%K
   Conclusions:
   I. Y@F
   II. K*F
   III. F$K
   A) Only I and II are true
   B) Only II and III are true
   C) All are true
   D) Only I and III are true
   E) None of these
   
   View Answer

   Option A
   Explanation: F=X>=Y>K
5. Statements: G#A A$L L@D
   Conclusions:
   I. D#A
   II.D#G
   III. L@G
   A) None is true
   B) Only I is true
   C) Only II is true
   D) Only III is true
   E) Only II and III are true
   
   View Answer

   Option C
   Explanation: G=A>=L<=D
6. Which of following is definitely false if given statement A=B>C=D>=G>=F<=E definitely true?
   A) A>E
   B) D>G
   C) D>B
   D) E=F
   E) G<D
   
   View Answer

   Option C
   
7. What will come in place of question marks in following below such that both F<B and E>=G are definitely true?       A>B=C>M?F>E=H? G
   A) <=
   B) >=
   C) =
   D) >
   E) either B or C
   
   View Answer

   Option B
   

Directions (8-10). Symbol represents certain time in a clock as:-
&- Either the hour or minute hand of clock on 9
$- Either the hour or minute hand of clock on 5
#- Either the hour or minute hand of clock on 8
@- Either the hour or minute hand of clock on 12
%- Either the hour or minute hand of clock on 6
Example- Time #% represent 8 hour 30 minutes. All time are in A.M. First symbol represents the hours and second symbol represents the minutes.

8. An train has to reach the Lucknow station at &&, but it reaches 45 minutes earlier. Then the time at which train reaches the Lucknow station?
   A) #@
   B) &@
   C) %@
   D) @%
   E) None of these
   
   View Answer

   Option A
   Explanation:
   Train has to reach at && which represent 9:45 am.
   But Train reaches 45 minutes earlier, means train reach at 9:00 am.
   We Can represent 9:00 as 8:60. For 8:60 symbol represent #@.
   
9. My goods are scheduled to arrive at Mumbai at &#, it takes 2 hrs 40 minutes to reach Mumbai from Kolkata. at what time it should depart from Kolkata to arrive at Mumbai one hrs before scheduled time?
   A) $#
   B) &@
   C) $@
   D) @&
   E) #@
   
   View Answer

   Option C
   Explanation: 
   Actual scheduled time of arriving is &#, which represent 9:40 am, for one hrs befor goods should be arrive at 8:40 am. travel time is 2 hr 40 minutes, so goods should be depart at 6:00 am from kolkata. We can write 6:00 am as 5:60 am, which represent by $@.
   
10. I daily wake up at #$ am. My mother has to arrive station at %$ am , so i have to wake up $ minutes before her arrives. Then at what time I have to wake up today?
    A) $@
    B) &#
    C) #$
    D) @#
    E) $@
    
    View Answer

    Option E
    Explanation:
    The man wake up daily at #$, which represent 8:25 am. that day his mom arrive at station at %$, which represent 6:25 am. and he have to wake up that day $, which represent 25 minutes, befor her arriving.
    So he have to wake up at 6:00 am that day, we can write 6:00 am as 5:60, symbol for 5:60 is $@.
    

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