Quiz Discussion

A plane left half an hour later than the scheduled time and in order to reach its destination 1500 kilometers away in time, it had to increase its speed by 33.33 percent over its usual speed. Find its increased speed.

• 1] 250 kmph
• 2] 500 kmph
• 3] 750 kmph
• 4] 1000 kmph
• 5] 1200 kmph

The speeds of three cars are the ratio 2 : 3 : 4. The ratio of the taken by these cars to travel the same distance is :

• 1] 2 : 3 : 4
• 2] 4 : 3 : 2
• 3] 4 : 3 : 6
• 4] 6 : 4 : 3

Three runners A, B and C run a race, with runner A finishing 12 metres ahead of runner B and 18 metres ahead of runner C, in another race of same type runner B finished 8 metres ahead of runner C. Each runner travels the entire distance at a constant speed. The length of the race is :

• 1] 36 metres
• 2] 48 metres
• 3] 60 metres
• 4] 72 metres

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

When do the two hands of a clock of just after 3 pm make 30°angel between them?

• 1] 3:15:00
• 2] 3:10:54
• 3] 3:01:59
• 4] 3:5:20

A tiger is 50 of its own leaps behinds a deer. The tiger takes 5 leaps and per minutes to the deer's 4. If the tiger and the deer cover 8 m and 5 m per leap respectively, what distance will the tiger have to run before it caches the deer?

• 1] 600 m
• 2] 700 m
• 3] 800 m
• 4] 1000 m
• 5] None of these

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

A train, 300m long, passed a man, walking along the line in the same direction at the rate of 3 kmph in 33 seconds. The speed of the train is:

• 1]

  30 kmph

• 2]

  32 kmph

• 3]

  \(32\frac{8}{{11}}\) kmph

• 4]

  \(35\frac{8}{{11}}\) kmph

An athlete claimed that his timing for a 100 m dash should be corrected because the starting signal was gives by a gun fired from a point 10 m away from him and the timekeeper was standing close to the gun. The error due to this could be (in seconds) :

• 1] 0.03 sec
• 2] 0.1 sec
• 3] 0.5 sec
• 4] 0.7 sec

Gautam goes office at a speed of 12 kmph and return homes at 10 kmph. His average speed is :

• 1] 11 km/hr
• 2] 22 km/hr
• 3] 10.9 km/hr
• 4] 12.5 km/hr