Quiz Discussion

I started on my bicycle at 7 am to reach a certain place. After going a certain distance, my bicycle went out of order. Consequently, I rested for 35 minutes and came back to my house walking all the way. I reached my house at 1 pm. If my cycling speed is 10 kmph and my walking speed is 1 kmph, then on my bicycle I covered a distance of :

• 1]

  \(4\frac{61}{66}\) km

• 2]

  \(13\frac{4}{9}\) km

• 3]

  \(14\frac{3}{8}\) km

• 4]

  \(15\frac{10}{21}\) km

The length of a train and that of a platform are equal. If with a speed of 90 km/hr the train crosses the platform in one minute, then the length of the train (in meters) is ?

• 1] 500 meters
• 2] 600 meters
• 3] 750 meters
• 4] 900 meters

Walking \({\frac{6}{7}}\) th of his usual speed, a man is 12 minutes too late. The usual time taken by him to cover that distance is :

• 1] 1 hour
• 2] 1 hr 12 min
• 3] 1 hr 15 min
• 4] 1 hr 20 min

A train passes two bridges of length 800 m and 400 m in 100 seconds and 60 seconds respectively. The length of the train is:

• 1] 80m
• 2] 90m
• 3] 200m
• 4] 150m

Train A travelling at 60 km/hr leaves Mumbai for Delhi at 6 pm. Train B travelling at 90 km/hr also leaves Mumbai for Delhi at 9 pm. Train C leaves Delhi for Mumbai at 9 pm. If all the three trains meet at the same time between Mumbai and Delhi, then what is the speed of train C if the distance between Delhi and Mumbai is 1260 km ?

• 1] 60 km/hr
• 2] 90 km/hr
• 3] 120 km/hr
• 4] 135 km/hr

Two cyclists start on a circular track from a given point but in opposite directions with speeds of 7 m/sec and 8 m/sec respectively. If the circumference of the circle is 300 metres, after what time will they meet at the starting point ?

• 1] 20 sec
• 2] 100 sec
• 3] 200 sec
• 4] 300 sec

Two cars are moving with speed v1, v2 towards a crossing along two roads, If their distance from the crossing be 40 metres and 50 metres at an instant of time then they do not collide if their speeds are such that :

• 1]

  v1 : v2 =16 : 25

• 2]

  v1 : v2 e 4 : 5

• 3]

  v1 : v2 e 5 : 4

• 4]

  v1 : v2 e 25 : 16

2 km 5 metres is equal to ?

• 1] 2.5 km
• 2] 2.005 km
• 3] 2.0005 km
• 4] 2.05 km

The area of square park is 25 sq. Km. Time taken to complete a round of the field once, at a speed of 3 kmph is:

• 1] 4 hours 60 minutes
• 2] 4 hours 50 minutes
• 3] 6 hours 40 minutes
• 4] 5 hours 40 minutes

With an average speed of 50 km/hr, a train reaches its destination in time. If it goes with an average speed of 40 km/hr, it is late by 24 min. The total journey is :

• 1] 30 km
• 2] 40 km
• 3] 70 km
• 4] 80 km