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# HCL Time Speed & Distance Quiz -1

Question 1

Time: 00:00:00
Two friends A and B run around a circular track of length 510 meters, starting from the same point, simultaneously and in the same direction. A who runs faster laps B in the middle of the 5th5th round. If A and B were to run a 3 km race long race, how much start, in terms of distance, should A give B so that they finish the race in a dead heat?

545.45 meters

545.45 meters

666.67 meters

666.67 meters

857.14 meters

857.14 meters

Cannot be determined

Cannot be determined

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Question 2

Time: 00:00:00
Yana and Gupta leave points x and y towards y and x respectively simultaneously and travel in the same route. After meeting each other on the way, Yana takes 4 hours to reach her destination, while Gupta takes 9 hours to reach his destination. If the speed of Yana is 48 km/hr, what is the speed of Gupta?

72 Kmph

72 Kmph

39 mph

39 mph

32 Kmph

32 Kmph

None of the above

None of the above

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Question 3

Time: 00:00:00
A man driving his bike at 24 Kmph reaches his office 5 minutes late. Had he driven 25 faster on an average he would have reached 4 minutes earlier than the scheduled time. How far is his office?

24 Km

24 Km

72 Km

72 Km

18 Km

18 Km

Data insufficient

Data insufficient

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Question 4

Time: 00:00:00
Two motorists Anil and Sunil are practicing with two different sports car; Ferrari and Mclaren, on the circular racing track, for the car racing tournament to be held next month. Both Anil and Sunil start from the same point on the circular track. Anil completes one round of the track in 1 min and Sunil takes 2 min to complete a round. While Anil maintains speed for all the rounds, Sunil halves his speed after the completion of each round. How many times Anil and Sunil will meet between the 6th round and 9th round of Sunil (6th and 9th round is excluded)? Assume that the speed of Sunil remains steady throughout each round and changes only after the completion of that round

382

382

347

347

260

260

None of these

None of these

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Question 5

Time: 00:00:00
In a 3600 m race around a circular track of length 400m, the faster runner and the slowest runner meet at the end of the fourth minute, for the first time after the start of the race. All the runners maintain uniform speed throughout the race. If the faster runner runs at thrice the speed of the slowest runner. Find the time taken by the faster runner to finish the race.

36 Minutes

36 Minutes

24 Minutes

24 Minutes

16 Minutes

16 Minutes

12 Minutes

12 Minutes

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Question 6

Time: 00:00:00
From a point P, on the surface of radius 3 cm, two cockroaches A and B started moving along two different circular paths, each having the maximum possible radius, on the surface of the sphere, that lie in the two different planes which are inclined at an angle of 45 degrees to each other. If A and B take 18 sec and 6 sec respectively, to complete one revolution along with their respective circular paths, then after how much time will they meet again, after they start from P?

27 sec

27 sec

24 sec

24 sec

18 sec

18 sec

9 sec

9 sec

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Question 7

Time: 00:00:00
A, B and C start simultaneously from X to Y. A reaches Y, turns back and meet B at a distance of 11 km from Y. B reached Y, turns back and meet C at a distance of 9 km from Y. If the ratio of the speeds of A and C is 3:2, what is the distance between X and Y?

99 km

99 km

100 km

100 km

120 km

120 km

142 km

142 km

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Question 8

Time: 00:00:00
Laila drives to the station each day to pick up her husband Majnu, who usually arrives on a train at 6 o’clock. Last Monday, Majnu finished work earlier, caught an earlier train and arrived at the station at 5 ‘o clock. He started to walk home and eventually met Laila who drove him the rest of the way, getting home 20 minutes earlier than usual. On Tuesday, he again finished early and found himself at the station at 5:30. Again he began to walk home, again he met Laila on the way, and she drove him home the rest of the way, Assume constant speed throughout with no wasted time for waiting, backing of the car etc. How earlier than the usual time were they home on Tuesday?

6 min

6 min

8 min

8 min

10 min

10 min

12 min

12 min

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Question 9

Time: 00:00:00
Three athletes A, B and C run a race, B finished 24 meters ahead of C and 36 m ahead of A, while C finished 16 m ahead of A. If each athlete runs the entire distance at their respective constant speeds, what is the length of the race?

108 m

108 m

90 m

90 m

80 m

80 m

96 m

96 m

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Question 10

Time: 00:00:00
Mukesh, Suresh, and Dinesh travel from Delhi to Mathura to attend Janmashtami Utsav. They have a bike which can carry only two riders at a time as per traffic rules. The bike can be driven only by Mukesh. Mathura is 300 km from Delhi.

All of them walk at 15 km/h. All of them start their journey from Delhi simultaneously and are required to reach Mathura at the same time.

If the speed of the bike is 60km/h, then what is the shortest possible time in which all three can reach Mathura at the same time?

58/7 hr

58/7 hr

65/7 hr

65/7 hr

10 hr

10 hr

None of these

None of these

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