Question : Having started from the same point simultaneously, two runners P and Q are running around a circular track of length 500 m in opposite directions with speeds of 6 m/s and 10 m/s, respectively. If they exchange their speeds after meeting for the first time, who will reach the starting point first?

Option 1: Q

Option 2: P

Option 3: Both P and Q will reach at the same time

Option 4: No one of the P and Q

Question : Ram and Shyam are racing along a circular track. The speed of Ram is thrice the speed of Shyam. The length of the circular track is 1440 m. After simultaneously starting the race from the same point, Ram meets Shyam for the first time at the end of the 8th minute. If Ram and Shyam start the race again from the same starting point simultaneously, then the time taken by Shyam to finish the race is: (given that the length of the race is the same as the length of the track)

Option 1: 7.5 minutes

Option 2: 16 minutes

Option 3: 30 minutes

Option 4: 22.5 minutes

Question : Two friends, P and Q, start running around a circular track from the same point. They run in the same direction. P runs at 6 m/sec and Q runs at b m/sec. If they cross each other at exactly two points on the circular track and b is a natural number less than 6, how many values can b take?

Option 1: 2

Option 2: 1

Option 3: 4

Option 4: 3

Question : Sohan and Amit started a car race from the same point in the same direction and at the same time on a circular track of length 1125 m with speeds of 36 km/h and 54 km/h, respectively. After how much time (in seconds) will they meet for the first time since the start of the race?

Option 1: 220

Option 2: 215

Option 3: 210

Option 4: 225

Question : Two persons started running on a circular track at a speed of 20 m/s and 30m/s in opposite directions. If the circumference of the circular track is 100 m, find how many distinct points they will cross each other.

Option 1: 2

Option 2: 3

Option 3: 5

Option 4: 10