Quiz Discussion

A train approaches a tunnel AB. Inside the tunnel is a cat located at a point that is \(\frac{3}{8}\) of the distance AB measured from entrance A. When the train whistles, that cat runs. If the cat moves to entrance A of the tunnel, the train catches the cat exactly at the entrance. If the cat moves to exit B, the train catches the cat at exactly the exit. The ratio of the speed of the train to that of the cat is of the order :

 

Course Name: Quantitative Aptitude

  • 1] 3 :1
  • 2] 4 : 1
  • 3] 5 : 1
  • 4] None of these
Solution
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# Quiz
1
Discuss

A car travels the first one third of a certain distance with a speed of 10 km/hr, the next one third distance with a speed of 20 km/hr and the last one third distance with a speed of 60 km/hr. thee average speed of the car for the whole journey is :

  • 1] 18 km/hr
  • 2] 24 km/hr
  • 3] 30 km/hr
  • 4] 36 km/hr
Solution
2
Discuss

An ant moved for several seconds and covered 3 mm in the first second and 4 mm more in each successive second than its predecessor. If the ant had covered 1 mm in the first second and 8 mm more in each successive second, then the difference between the path it would cover during the same time and actual path would be more than 6 mm but less than 30 mm. find the time for which the ant moved (in seconds).

  • 1] 5 s
  • 2] 4 s
  • 3] 6 s
  • 4] 2 s
  • 5] None of these
Solution
3
Discuss

A cyclist drove one kilometre, with the wind in his back, in 3 minutes and drove the same way back, against the wind, in 4 minutes. If we assume that the cyclist always puts constant force on the pedals, how much time would it take him to drive 1 km without wind ?

  • 1]

    \(2\frac{1}{3}\) min

  • 2]

    \(2\frac{3}{7}\) min

  • 3]

    \(3\frac{3}{7}\) min

  • 4]

    \(3\frac{7}{12}\) min

Solution
4
Discuss

Two trains start from a certain place on two parallel tracks in the same direction. The speed of the trains are 45 km/hr and 40 km/hr respectively. The distance between the two trains after 45 minutes will be :

  • 1] 2.500 km
  • 2] 2.750 km
  • 3] 3.750 km
  • 4] 3.25 km
Solution
5
Discuss

An aeroplane covers a certain distance at a speed of 240 kmph in 5 hours. To cover the same distance in \(1\frac{2}{3}\) hours, it must travel at a speed of :

 

  • 1] 300 kmph
  • 2] 360 kmph
  • 3] 600 kmph
  • 4] 720 kmph
Solution
6
Discuss

Two guns were fired from the same place at an interval of 8 minutes. A person approaching the place observes that 5 minutes 52 seconds have elapsed between the hearing of the sound of the two guns. If the velocity of the sound is 330 m/sec, the man was approaching the place at what speed (in km/hr) ?

  • 1] 24 km/hr
  • 2] 27 km/hr
  • 3] 30 km/hr
  • 4] 36 km/hr
Solution
7
Discuss

2 km 5 metres is equal to ?

  • 1] 2.5 km
  • 2] 2.005 km
  • 3] 2.0005 km
  • 4] 2.05 km
Solution
8
Discuss

If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:

  • 1] 50 km
  • 2] 56 km
  • 3] 70 km
  • 4] 80 km
Solution
9
Discuss

A train met with an accident 120 km from station A. It completed the remaining journey at \(\frac{5}{6}\) of its previous speed and reached 2 hours late at station B. Had the accident taken place 300 km further, it would have been only 1 hour late. What is the speed of the train?

 

  • 1] 100 km/h
  • 2] 12 km/h
  • 3] 60 km/h
  • 4] 50 km/h
Solution
10
Discuss

A car takes 15 minutes less to cover a distance of 75 km, if it increases its speed by 10 km/hr from its usual speed. How much time would it take to cover a distance of 300 km using this speed ?

  • 1]

    5 hrs

  • 2]

    \(5\frac{1}{2}\) hrs

  • 3]

    6 hrs

  • 4]

    \(6\frac{1}{2}\) hrs

Solution
# Quiz