Question: 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?
A.160 m
B.100 m
C.140 m
D.105 m
E.None of These
Answer: Option C

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Question 1. Two cars start simultaneously from cities A and B, towards B and A respectively, on the same route. Once the two cars reach their destinations they turned around and move towards the other city without any loss of time. The two cars continue shuttling in this manner for exactly 20 hours. If the speed of the car starting from A is 60km/hr and the speed of the car starting from B is 40km/hr and the distance between the two cities is 120 km, find the number of times the two cars cross each other?
  1.    8
  2.    10
  3.    12
  4.    20
  5.    Can't be determined
Answer: Option A
Question 2. 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
Answer: Option C
Question 3. A plan left 40 minutes late due to bad whether and order to reach its destination 1600 km away in time, it had increase its speed by 400 kmph from its usual speed. Find the usual speed of the plane?
  1.    600 km/hour
  2.    400 km/hour
  3.    1000 km/hour
  4.    800 km/hour
Answer: Option D
Question 4. Page and Plant are running on a track AB of length 10 metres. They start running simultaneously from the ends A and B respectively. The moment they reach either of the ends, they turn around and continue running. Page and Plant run with constant speeds of 2m/s and 5m/s respectively. How far from A (in metres) are they, when they meet for the 23rd time?
  1.    0 meters
  2.    10 meters
  3.    40 meters
  4.    $$\frac{{60}}{7}$$ meters
  5.    None of these
Answer: Option A
Question 5. Mr A started half an hour later than usual for the marketplace. But by increasing his speed to $$\frac{3}{2}$$ times his usual speed he reached 10 minutes earlier than usual. What is his usual time for this journey?
  1.    1 hours
  2.    2 hours
  3.    3 hours
  4.    45 minutes
  5.    None of these
Answer: Option B
Question 6. 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
Answer: Option B

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