Quiz Discussion

A ship, 40 kilometers from the shore, springs a leak which admits \(3\frac{3}{4}\) tonnes of water in 12 minutes. 60 tonnes would suffice to sink her, but the ship's pumps can throw out 12 tonnes of water in one hour. Find the average rate of sailing, so that she may reach the shore just as she begging to sink?

 

Course Name: Quantitative Aptitude

  • 1]

    \(1\frac{1}{2}\) km/hr

  • 2]

    \(2\frac{1}{2}\) km/hr

  • 3]

    \(3\frac{1}{2}\) km/hr

  • 4]

    \(4\frac{1}{2}\) km/hr

Solution
No Solution Present Yet

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# Quiz
1
Discuss

Two persons A and B start simultaneously from P and Q respectively. A meets B at a distance of 60m from P. After A reaches Q and B reaches P, they turn around and start walking in opposite direction, now B meets A at a distance of 40m from Q. Find distance between P and Q?

  • 1] 160 m
  • 2] 100 m
  • 3] 140 m
  • 4] 105 m
  • 5] None of These
Solution
2
Discuss

If two incorrect watches are set at 12:00 noon at correct time, when will both watches show the correct time for the first time given that the first watch gains 1 min in one hour and second watch looses 4 min in two hours.

  • 1] 6 PM, 25 days later
  • 2] 12 noon, 30 days later
  • 3] 12 noon, 15 days later
  • 4] 6 AM, 45 days later
  • 5] None of these
Solution
3
Discuss

A racetrack is in the form of a right triangle. The longer of the legs of track is 2 km more than the shorter of the legs (both these legs being on a highway). The start and end points are also connected to each other through a side road. The escort vehicle for the race took the side road and rode with a speed of 30 km/h and then covered the two intervals along the highway during the same time with a speed of 42 km/h. find the length of the race track.

  • 1] 14 km
  • 2] 10 km
  • 3] 24 km
  • 4] 36 km
  • 5] 30 km
Solution
4
Discuss

Two men start together to walk a certain distance, one at 4 km/hr and another at 3 km/hr. The former arrives half an hour before the latter. Find the distance :

  • 1] 8 km
  • 2] 7 km
  • 3] 6 km
  • 4] 9 km
Solution
5
Discuss

Rohan, Shikha's boyfriend, had to pick her from her home for a live concert on her 23rd birthday. The venue of the concert and Shikha's home were in opposite directions from Rohan's office. He got late because of some work at office and realised that if he goes to pick Shikha from her home, which was a 48-minute drive from his office, they would be late for the show by 16 minutes. He asked her to start from her home towards his office in an auto-rickshaw and himself started driving towards her home. Both of them started simultaneously, he picked her as soon as they met and they managed to reach the venue just in time for the concert. If Rohan drives at an average speed of 60 km/hr, find the speed (in km/hr) of the auto-rickshaw.

  • 1] 16 km
  • 2] 20 km
  • 3] 12 km
  • 4] 15 km
  • 5] None of these
Solution
6
Discuss

A and B run a kilometre and A wins by 25 sec. A and C run a kilometre and A wins by 275 m. When B and C run the same distance, B wins by 30 sec. The time taken by A to run a kilometre is :

  • 1] 2 min 25 sec
  • 2] 2 min 50 sec
  • 3] 3 min 20 sec
  • 4] 3 min 30 sec
Solution
7
Discuss

A train 300 m long is running with a speed of 54 km/hr. In what time it cross a telephone pole ?

  • 1] 20 seconds
  • 2] 15 seconds
  • 3] 17 seconds
  • 4] 18 seconds
Solution
8
Discuss

A coolie standing on a railway platform observe that a train going in one direction takes 4 second to pass him. Another train of same length going in opposite direction takes 5 seconds to pass him. The time taken (in seconds) by two train to cross each other will be:

  • 1]

    35 seconds

  • 2]

    36.5 seconds

  • 3]

    \(\frac{{40}}{9}\) seconds

  • 4]

    36 seconds

Solution
9
Discuss

The diameter of each wheel of car is 70 cm. If each wheel rotates 400 times per minutes, then the speed of the car (in km/hr) if : \(\left( {{ \text{Take }}pi = \frac{{22}}{7}} \right)\)

 

  • 1] 5.28 km/hr
  • 2] 528 km/hr
  • 3] 52.8 km/hr
  • 4] 0.528 km/hr
Solution
10
Discuss

Two ladies simultaneously leave cities A and B connected by a straight road and travel towards each other. The first lady travels 2 km/hr faster than the second lady and reaches B one hour before the second lady reaches A. The two cities A and B are 24 km apart. How many kilometres does each lady travel in one hour ?

  • 1] 5 km, 3 km
  • 2] 7 km, 5 km
  • 3] 8 km, 6 km
  • 4] 6 km, 14 km
Solution
# Quiz