Mixed Reasoning Questions – Set 30 (for Mains Exam)

Directions (1-3): 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 6
# – Either the hour or minute hand of clock on 11
@ – Either the hour or minute hand of clock on 12
% – Either the hour or minute hand of clock on 7
< – Either the hour or minute hand of 8

Example: Time ‘&%’ represents 9 hours 35 minutes. 
The first symbol represents hours and second symbol represents minutes.

1. Rajdhani express completes its journey in seven hours with usual speed of 100 km/hrs without stopping at any station in six days of a week, but on Sunday it has to stop for 5 minutes on each of the six stations between Lucknow and Delhi.  So at what time the train will reach Delhi with its usual speed every Sunday, if its departure time is #@ o’clock noon every Sunday.
   A) #+
   B) %*
   C) %$
   D) +%
   E) Can’t be determined
   
   View Answer

     Option C
   Explanation: 6×5=30 minutes late on Sunday.
   #@ – 11 hours 60 minutes = 12 PM
   Every day timing of arrival =#@+7hr=12 noon+7hr=7 PM
   Now 30 minutes late. So
   Sunday arrival =7.30 pm =%$ pm  
2. Distance between Kolkata and Ahmedabad is 800 km. An express train starts from Ahemdabad at <@ PM, now after covering half of distance in five hours, some technical fault comes in engine, after that train starts moving at 3/4 of its previous speed. Now at what time will it reach Delhi station?
   A) &<
   B)  <@
   C) <#
   D)  <<
   E) Both C and O
   
   View Answer

     Option D
   Explanation: speed =400/5=80km/hrs
   <@=9 pm+5 hr=2  am
   After speed=80×3/4=60km/hrs
   Next 400 km in= 4o0/60=6 hr 40 minutes
   2 am+6.4o minuts=8.40 am
   8.40 am represent by = < < 
3. Distance between points P and B is 720 km. A car start from A with a speed of 120km/hr at %$ AM, after one hr it increased speed by 7/6 of previous speed, after next one hr it increased 8/7 of previous speed, after next one hr increased speed by 5/4 of its previous speed, and last its speed decreased by 50% of previous speed. In what time will car complete its  journey?
   A)  #$
   B)  @$
   C)  %*
   D)  $%
   E) None of these
   
   View Answer

     Option B
   Explanation
   1st hr=120, 2nd hr=120×7/6=140, 3rd hr=140×8/7=160, 4th hr=160×5/4=200, 5th hr=200×1/2=100
   In 5 hr=120+140+160+200+100= 720 km
   7.30am+5hr= 12.30 pm= @$ 

Directions (4-8) Answer the questions on the basis of the information given below.
A number arrangement machine when given an input of  numbers, rearranges them following a particular rule in each step. The following is an illustration of input and steps of rearrangement.

Input- VIRAT   AND    DHONI     BOTH    ARE     LEGEND
Step I-      EJQBG   ZMW   WGPMR    YPSS    ZQV    OFFFMW
Step II-     12JQB    49M   41GPM    44PS    48Q     38FFFM
Step III-    6JQB    24.5M    20.5GPM   22PS     24Q     19FFFM
Step IV-      4JQ    11.5    7.5GP    3P    7     6FFF
Step V-        31    11.5    30.5    19    7    24
Step VI-       7    31  11.5    30.5   19   24
Step VII-     7    11.5   31   30.5   19   24
Step VIII-    7    11.5   19    31   30.5   24
Step IX-       7   11.5    19    24    31    30.5
Step X-         7    11.5     19     24     30.5    31

StepX is the last step of input.

INPUT: ENGLISH    AND    MATH    BOTH    NOT    EASY  

4.  How many steps are required to get the final output from the above input?
   A) Nine
   B) Eight  
   C)  Seven
   D)  Ten
   E) None of these
   
   View Answer

     Option D
   Explanation: Logic-
   StepI- first and last letter opposite letter, and consonant previous letter& vowel next letter.
   StepII-Number- alphabet order or first+last letter
   StepIII-  number ÷2
   StepIV- number – last letter order position
   StepV- number +all alphabets order position sum
   Step (VI-X) – all number arranged ascending order from left to right. 
5. Which of following is >3rd from left end in step IV of above input.
   A) 12BR
   B) 16.5 BS
   C) 22PS
   D) 10P
   E) None of these
   
   View Answer

     Option B 
     
6. Which of following is last step of above input?
   A) -6    -4     -.5     11.5   42.5    19
   B) -6   -4   -.5    11.5     19    42.5
   C) -6    -4     -.5   11.5    42.5    19  
   D) -6    42.5    -.5    11.5    -4     19  
   E) None of these
   
   View Answer

     Option B 
    
7. Which of the following is 3rd from right end in StepVI ?
   A) -.5
   B) -6
   C) 42.5
   D) -4
   E) None of these
   
   View Answer

   Option A 
    
8. Which of following is 3rd from left end in step IX of above input?
   A) 19
   B) 42.5
   C) 11.5
   D) -.5
   E) None of these
   
   View Answer

   Option D 

Directions (9-10): Answer the questions on the basis of the information below.

@ represent West
# represent  South
& represent  North
$ represent East
3 green light – 90 km/hr
2 green light -45 km/hr
1 green light -15 km/hr
3 red light – stop
+ means 5 minute, × means 9 minute, ÷ means 6 minute, – means 2 minute.

Example: product of (×-) means -9×2=18 mintutes total

A man gets a 3 green light signal from point A,turn $ direction and walks, product of (×-) minutes and got 3 red light signal at point B. From point B he gets 2 green light signals and turn # direction and walks product of  (÷ -) minutes, and get a 3 red light signal at point C. From point C he walks 7 Km in @ direction, and gets a 3 red light signal at point D. From point D, he turns # direction and get a 1 green light signal, and walks for product of (4÷) minutes and finally at point E he gets a 3 red light signal and stops.

9. What is shortest distance between E and A?
   A) 20km
   B) 25km
   C) 15km
   D) 16km
   E) None of these
   
   View Answer

     Option B
   Explanation:
   90 * 18/60 = 27 km
   45 * 12/60 = 9 km
   15 * 24/60 = 6 km
   
   AE = √[(15)² + (20)²] = √625 = 25 km
10. Point B in which direction respect of point E?
    A) North-west
    B) North
    C) North-east
    D) East
    E) None of these
    
    View Answer

      Option C
    
     

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