Directions (1-6): Study the given information carefully to answer the
questions.
In an amusement park, the following types of traffic signals are there to drive
a toy car.
Red Light (R) = Stop
Yellow light (Y) = Wait
Red and Yellow lights (RY) = Turn left
Red and Green lights (RG) = Turn right
Yellow and Green lights (YG) = Go at 20 km per hour
Red, Yellow, and Green lights (RYG) = Go at 10 km per hour
Green light (G) = Go at 5 km per hour
All children driving the cars inside the amusement park should compulsorily
follow the traffic signals and can’t go outside the park to drive the car. A girl
Ankita who is facing north, drive the car at the speed of 30 km per hour inside
the park and encounters the signals in the following manners. (She can go to
the next signal only after passing the previous signal)
Starting Point = S
After half an hour, 1st signal – RY and YG
After 15 minutes, 2nd signal – RYG
After 30 minutes, 3rd signal – RG and RYG
After 15 minutes, 4th signal – RG and YG
After an hour, 5th signal – RY and G
After 2 hours, 6th signal – R
Question 1-
1. What is the total distance that Ankita traveled from the starting point till
the 6th signal?
A. 55 km
B. 52.5 km
C. 57.5 km
D. 62.5 km
E. None of these
Question 2-
2. What is the average speed at which Ankita traveled from the starting
point till the 6th signal?
A. 12 7/9 km per hour
B. 11 7/9 km per hour
C. 12 5/9 km per hour
D. 11 5/9 km per hour
E. None of these
Question 3-
3. Suppose, in park there is no signals then how much less time Ankita would
have taken to reach the final position?
A. 3 hours 12 minutes
B. 3 hours 32 minutes
C. 2 hours 12 minutes
D. 3 hours 58 minutes
E. 4 hours 5 minutes
Question 4-
4. If at the starting point, Ankita was facing toward south then what would
be the final position from the starting point?
A. 27.5 km towards south and 10 km towards east
B. 17.5 km towards south and 12.5 km towards east
C. 27.5 km towards north and 10 km towards east
D. 27.5 km towards south and 10 km towards west
E. 17.5 km towards north and 10 km towards east
Question 5-
5. After the starting point, if the first signal was RG and RYG instead of RY
and YG then what would be the final position of Ankita from the starting
point?
A. 17.5 km towards west and 10 km towards north
B. 12.5 km towards west and 2.5 km towards north
C. 12.5 km towards west and 10 km towards north
D. 12.5 km towards east and 2.5 km towards south
E. 17.5 km towards east and 10 km towards south
Question 6-
6. After the starting point, if the first signal was RG and RYG instead of RY
and YG then what would have been the shortest distance from the starting
point to the ending point?
A. 12.25 km
B. 14.92 km
C. 12.75 km
D. 13.22 km
E. 14.72 km
Explanation
= √(756.25 + 100 )
= approximately 29.26 km
= approximately 29 km @ 30 km per hour
= approximately 58 min
The required difference
= 4.5 hours – 58 minutes
= 3 hours 32 minutes
Hence, option B is correct.