Escalators

Q. A man can walk up a moving 'up' escalator in 30 s. The same man can walk down this moving 'up' escalator in 90 s. Assume that his walking speed is same upwards and downwards. How much time did he take to walk up the escalator, when it is not moving? (1995)

1. 30s
2. 45s
3. 60s
4. 90s

Q.

After covering a distance of 30 km with a uniform speed there is some defect in a train engine and therefore, its speed is reduced to $\frac{4}{5}$ of its original speed. Consequently, the train reaches its destination late by 45 minutes. Had it happened after covering 18 kilometers more, the train would have reached 9 minutes earlier. Find the speed of the train and the distance of the journey.

1. Speed=40 km/hr, Distance=160 km

2. Speed=20km/hr, Distance=100km.

3. Speed=30km/hr., Distance=120 km.

4. Speed=35km/hr., Distance=140 km.

Q.

A man takes 4 hours and 30 minutes to walk to a certain place and ride back. He would have saved 3 hours by riding both ways. The time he would take to walk both ways is

1. 7 hrs 15 min

2. 6 hrs 30 min

3. 7 hrs 30 min

4. 8 hrs 15 min

5. 8 hrs 45 min

Q.

A large tanker can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tanker from an empty state, if B is used for half the time and A and B fill it together for the other half?

1. 20 min

2. 30 min

3. 27.5 min

4. 15 min

Q. Katrina walks down an up-escalator and counts 150 steps. Priyanka walks up the same escalator and counts 75 steps. Katrina takes three times as many steps in a given time as Priyanka. How many steps are visible on the escalator?

1. 105
2. 150
3. 135
4. 120

Q. Einstein walks on an escalator at a rate of 5 steps per second and reaches the other end in 10 seconds. While coming back, walking at the same speed he reaches the starting point in 40 seconds. What is the number of steps on the escalator?

1. 40
2. 60
3. 120
4. 80

Q. A group of soldiers are marching with a speed of 5 m/s. The distance between the first and the last row of soldiers is 100 m. A dog starts running from the last row and moves towards the first row, turns and comes back to the last row. If the dog has travelled 400 m, the speed of the dog is:

1. $5\sqrt{2}m/s$
2. $3\sqrt{5}m/s$
3. $6\sqrt{5}m/s$
4. $6\sqrt{2}m/s$

Q. Two guys A and B are walking down an escalator in the direction of the motion of the escalator. A takes two steps on the same time when B takes one step. When A covers 60 steps he gets out of the escalator while B takes 40 steps to get out of the escalator. Find the number of steps in the escalator when it is stationary?

1. 80
2. 90
3. 150
4. 100
5. 120

Q.

Two candles of equal length start burning at the same instant. One of the candles burns in 5 hrs. and the other in 4 hrs. By the time one candle is 2 times the length of the other. The candles have already burnt for:

1. $2\frac{1}{2}$ hours

2. $3\frac{1}{2}$ hours

3. $3\frac{1}{9}$ hours

4. $3\frac{1}{3}$ hours

Q.

A classroom has a certain number of benches. If 4 students sit on each bench, three benches are left unoccupied and if 3 students sit on each bench, 3 students don’t get a place to sit. What is the total number of students in the class?

1. 16

2. 24

3. 48

4. 56

Q.

How to determine the mass percentage of oil from different oil seeds?

Q.

All the oil in container X which was filled to its brim was poured into two containers Y and Z. The quantity of oil in container Y was 62.5$\%$ less than the capacity of container X. If 148 litres was now transferred from Z to Y, then both the containers would have equal quantities of oil. What was the initial quantity of oil in container X?

1. 888

2. 928

3. 1184

4. None of these

Q. Two guys A and B are walking down an escalator in the direction of the motion of the escalator. A takes two steps on the same time when B takes one step. When A covers 60 steps he gets out of the escalator while B takes 40 steps to get out of the escalator. The number of steps in the escalator when it is stationary___

Q. Choose the correct answer from the alternatives given :
A dog after seeing a cat finds that the cat is 25 leaps ahead of the dog. Cat after seeing the dog starts running and the dog chases the cat. If in every minute, dog takes 5 leaps while cat takes 6 leaps and I leap of dog is equal to 2 leaps of cat, in how many minutes will dog catch the cat?

1. l2 minutes
2. l5 minutes
3. l2.5 minutes
4. l4 minutes

Q.

Anil walks down an Up-escalator and counts 150 steps.Bipin walks up the same escalator and counts 75 steps. Anil takes three times as many steps in a given time as Bipin. How many steps are visible on the escalator?

1. 110
2. 150
3. 130
4. 120

Q. How to find foot of perpendicular from any point P to a given plane ?

Q.

What is the speed of the bullet train?

I. The train crosses a lamp post in 26 seconds.

II. The train crosses a platform of length 500 metres in 54 seconds.

III. The train crosses another train running in the same direction in 64 seconds.

1. II and III only

2. Any two of the three

3. None of these

4. I and II only

5. I and III only

Q.

On one of the escalators on the Paris metro, Maria finds that if she walks down 26 steps she needs 30 seconds to get to the bottom, but if on another trip she makes 34 steps, then she needs only 18 seconds to reach the bottom. If the time is measured from the instant that the top step begins to descend until the time Maria steps off the last step at the bottom onto the level platform, what is the height of the stairway in steps and how many seconds does it take the escalator to travel one step?

1. 92, 3 sec’s
2. 54, 2.5 sec’s
3. 46, 1.5 sec’s
4. 75, 2 sec’s

Q. Convert the following wedge-dash figure in the fischer projection.

Q.

Two pipes X and Y can fill a tank in 24 mins and 32 mins each. If both the pipes are started at the same time, after what time should Y be closed to fill up the tank in 18 mins?

1. 10 mins

2. 5 mins

3. 15 mins

4. 8 mins

Q.

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and then mark the appropriate option.

What is the speed of the bullet train?

I. The train crosses a lamp post in 26 seconds.

II. The train crosses a platform of length 500 metres in 54 seconds.

III. The train crosses another train running in the same direction in 64 seconds.

1. None of these

2. I and II only

3. II and III only

4. I and III only

Q. The sum of the H.C.F. and L.C.M. of two numbers is 680 and the L.C.M is 84 times the H.C.F. If one of the numbers is 56, then which of the following is the other number?

1. 12
2. 8
3. 96
4. 23
5. 84

Q.

All the oil in container X which was filled to its brim was poured into two containers Y and Z. The quantity of oil in container Y was 62.5$\%$ less than the capacity of container X. If 148 litres was now transferred from Z to Y, then both the containers would have equal quantities of oil. What was the initial quantity of oil in container X?

1. 928

2. 1184

3. None of these

4. 648

5. 888

Q. A juggler maintains 10 balls in motion , making each of them to rise at a height of 80m from his hands. To keep proper distance between them, what would be the time interval maintained by the juggler?

Q.

What is the speed of the goods train?

I. 420 metres long goods train crosses a signal pole in 27 seconds.

II. 420 metres long goods train crosses a platform in 67.5 seconds.

1. if the data either in Statement I or in Statement II alone are sufficient to answer the question.

2. if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.

3. if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.

4. if the data even in both Statements I and II together are not sufficient to answer the question.

5. if the data in both Statements I and II together are necessary to answer the question.

Q.

Two guys A and B are walking down an escalator in the direction of the motion of the escalator. A takes two steps in the same time as B takes one step. When A covers 60 steps he gets out of the escalator while B takes 40 steps to get out of the escalator. Find the number of steps in the escalator when it is stationary?

1. 120
2. 150
3. 90
4. 80

Q. A man can walk up a moving "up" escalator in 30 seconds. The same man can walk down this moving "up" escalator in 90 seconds. Assume that his walking speed is same upwards and downwards. How much time will he take to walk up the escalator, when it is not moving?

1. 30 sec
2. 45 sec
3. 60 sec
4. 90 sec

Q. What is half life and it can be calculated?

Q. The third approximation of root of $x^3-x^2-1=0$ in the interval $(1,2)$ using successive bisection method is?

1. $1.564$
2. $1.475$
3. $1.375$
4. $2.213$

Q.

Taps U and V can fill a vessel in 24 minutes and 30 minutes respectively. If both are opened simultaneously and U is closed after 6 minutes, then how long would it take for V to fill the vessel?

1. 15 min 20 sec

2. 14 min 30 sec

3. 17 min 20 sec

4. 16 min 30 sec

5. None of these