Quiz Discussion

A car after traveling 18 km from a point A developed some problem in the engine and the speed became \(\frac{4}{5}\) th of its original speed. As a result, the car reached point B 45 minutes late. If the engine had developed the same problem after traveling 30 km from A, then it would have reached 36 minutes late. The original speed of the car (in km/h) is:

 

Course Name: Quantitative Aptitude

  • 1] 25 kmph
  • 2] 30 kmph
  • 3] 20 kmph
  • 4] 35 kmph
  • 5] None of these
Solution
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# Quiz
1
Discuss

A passenger train 150 m long is travelling with a speed of 36 km/hr. If a man is cycling in the direction of train at 9 km/hr, the time taken by the train to pass the man is :

  • 1] 10 seconds
  • 2] 15 seconds
  • 3] 18 seconds
  • 4] 20 seconds
Solution
2
Discuss

A thief is noticed by a policeman from a distance of 200 metres the thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km/hr and 11 km/hr respectively. What is the distance between them after 6 minutes ?

  • 1] 100 m
  • 2] 190 m
  • 3] 200 m
  • 4] 150 m
Solution
3
Discuss

A train 100 m long is running at the speed of 30 km/hr. The time (in second) in which it passes a man standing near the railway line is :

  • 1] 10 seconds
  • 2] 11 seconds
  • 3] 12 seconds
  • 4] 15 seconds
Solution
4
Discuss

A 75 metres long train is moving at 20 kmph. It will cross a man standing on the platform in :

  • 1] 12 seconds
  • 2] 14 seconds
  • 3] 13.5 seconds
  • 4] 15.5 seconds
Solution
5
Discuss

Two boats go downstream from point X to Y. The faster boat covers the distance from X to Y, 1.5 times as fast as slower boat. It is known that for every hour slower boat lags behinds the faster boat by 8 km. however, if they go upstream, then the faster boat covers the distance from Y to X in half the time as the slower boat. Find the speed of the faster boat in still water?

  • 1] 12 kmph
  • 2] 20 kmph
  • 3] 24 kmph
  • 4] 25 kmph
  • 5] None of these
Solution
6
Discuss

In a race of 1000m, A can beat B by 100m. In a 400m, B beats C by 40m. In a race of 500m. A will beat C by

  • 1] 95m
  • 2] 50m
  • 3] 45m
  • 4] 60m
Solution
7
Discuss

A square playground measure 1127.6164 sq.m. If a man walks \(2\frac{9}{{20}}\) m a minute, the time taken by him to walk one round around it is approximately :

 

  • 1] 50.82 minutes
  • 2] 54.82 minutes
  • 3] 54.62 minutes
  • 4] 50.62 minutes
Solution
8
Discuss

Two cyclists start from the same place in opposite directions. One goes towards north at 18 kmph and the other goes towards south at 20 kmph. What time will they take to be 47.5 km apart ?

  • 1]

    \({ \text{1}}\frac{1}{4}{ \text{ hrs}}\)

  • 2]

    \({ \text{2}}\frac{1}{4}{ \text{ hrs}}\)

  • 3]

    2 hrs 23 min

  • 4]

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

Solution
9
Discuss

A and B start from the same point and in the same direction at 7 am to walk around a rectangular field 400 m × 300 m. A and B walk at the rate of 3 km/hr and 2.5 km/hr respectively. How many times shall they cross each other if they continue to walk till 12.30 pm ?

  • 1] Not even once
  • 2] Once
  • 3] Twice
  • 4] Thrice
Solution
10
Discuss

A person travels three equal distance at a speed of x km/hr, y km/hr and z km/hr respectively. What is the average speed for the whole journey ?

  • 1]

    \(\frac{{xyz}}{{3\left( {xy + yz + zx} \right)}}\)    km/hr

  • 2]

    \(\frac{{xyz}}{{\left( {xy + yz + zx} \right)}}\)    km/hr

  • 3]

    \(\frac{{\left( {xy + yz + zx} \right)}}{{xyz}}\)    km/hr

  • 4]

    \(\frac{{3xyz}}{{\left( {xy + yz + zx} \right)}}\)    km/hr

Solution
# Quiz