Monday 20 March 2017

Question of the day 19-3-2017

Directions (1-5): Study the following information carefully and answer the questions that follow.
A country has the following types of traffic signals.
3 green lights = go at 60 kmph speed
2 green lights = go at 40 kmph speed
1 green light = go at 20 kmph speed
3 red lights = stop
2 red lights = turn left
1 red light = turn right
A person starts driving from a point in West direction and he encounters the following traffic signals:
Starting point – 1 green light;
After 15 minutes, 1st signal – 2 red & 2 green lights;
After 24 minutes, 2nd signal – 1 red & 3 green lights;
After 45 minutes, 3rd signal – 1 red & 2 green lights;
After 18 minutes, 4th signal – 3 red lights;
1.  Find the total distance he covered up to the last signal.
A) 76 km    B) 78 km   C) 70 km   D) 75 km    E) 79 km
2.  After passing the third signal if the person encounters fourth signal after half an hour, then what is his final position with respect to the starting point?
A) 4 km to the south and 50 km to the east
B) 55 km directly to the north-west
C) 4 km to the north and 50 km to the west
D) 4 km to the north and 45 km to the west
E) None of these
3.  If instead of starting in West direction, the man starts in South direction, then what is his position with respect to the starting point?
A) 50 km to the south and 4 km to the west
B) 54 km directly to the north-west
C) 50 km to the north and 4 km to the west
D) 50 km to the south and 4 km to the east
E) None of these
4.  If after the first signal,
2nd signal: 2 red and 2 green lights, and
3rd signal: 1 red and 3 green lights, then what is the distance covered up to the last signal?

A) 69 km    B) 60 km        C) 68 km D) 67 km E) 65 km

5.  If the person stops at 3rd signal, then what is his final position with respect to his starting position?
A) 50 km to the north-west
B) 52.5 km to the south-west
C) 52.5 km to the north-east
D) 50.5 km to the south-west
E) 50.5 km to the south-east

5 comments:

  1. 1. Option B
    Explanation:

    Starting in West direction: 1 green light means 20 km/hr
    So 15 minutes at 20km/hr, means covers 15/60 * 20 = 5 km
    Next, 2 red & 2 green lights, means turn left and 24 minutes at 40 km/hr
    So now distance covered = 24/60 * 40 = 16 km
    Now for next 45 minutes, 1 red & 3 green lights, means turned right and drove at 60 km/hr, so covered 45/60 * 60 = 45 Km
    Next – 1 red & 2 green lights, turned right and 18 minutes at 40 km/hr
    So covered = 18/60 * 40 = 12 km. Next 3 red lights so stopped
    So total distance = 5+16+45+12 = 78 km

    ReplyDelete
  2. 2. Option C
    Solution:
    So at last 1 red & 2 green lights, turned right and 30 minutes at 40 km/hr
    So covered 30/60 * 40 = 20 km
    We get:

    <------5--------
    | |
    | |
    | |
    20 |16
    | |
    |__________45__________|

    ReplyDelete
  3. 4. Option A
    Solution:
    Starting in West direction: 1 green light means 20 km/hr
    So 15 minutes at 20km/hr, means covers 15/60 * 20 = 5 km
    Next, 2 red & 2 green lights, means turn left and 24 minutes at 40 km/hr
    So now distance covered = 24/60 * 40 = 16 km
    Now for next 45 minutes, 2 red & 2 green lights, means turned left and drove at 40 km/hr, so covered 45/60 * 40 = 30 Km
    Next – 1 red & 3 green lights, turned right and 18 minutes at 60 km/hr
    So covered = 18/60 * 60 = 18 km. Next 3 red lights so stopped
    So total distance = 5+16+30+18 = 69 km

    ReplyDelete
  4. 5. Option B
    Solution:
    Starting in West direction: 1 green light means 20 km/hr
    So 15 minutes at 20km/hr, means covers 15/60 * 20 = 5 km
    Next, 2 red & 2 green lights, means turn left and 24 minutes at 40 km/hr
    So now distance covered = 24/60 * 40 = 16 km
    Now for next 45 minutes, 1 red & 3 green lights, means turned right and drove at 60 km/hr, so covered 45/60 * 60 = 45 Km
    Stopped here

    ReplyDelete