Which of the following statement is true?
We have circumference of the circular table = 306m. Person sits at consecutive multiple of 3. Thus, (3 + 6 + 9 + 12 + 15 + …….. + 3N) = 306 Similarly, if we take 3 common from both side, we have: (1 + 2 + 3 + 4 + 5 + …… + N) = 102 We know that, sum of N consecutive numbers = N (N + 1)/2 Thus, N (N + 1)/2 = 102 We have: Case 1: If N = 14, then (14 x 15)/2 = 105, which is more than the given value. Case 2: If N = 13, then (13 x 14)/2 = 91, which is less than the given value. That means total number of person in the circle are either 13 or less than 13. Again, for 13 number of person: Circumference = (3 + 6 + 9 + 12 + …………. + 39) = 273, which is less than the given circumference. Thus, we have possibility that counting starts from 6, then we have: Circumference = (6 + 9 + 12 + 15 + ………………. + 42) = 312. Which is more than given circumference, thus there must be less 13 persons. Again, for 12 person Circumference = (3 + 6 + 9 + 12 + …………. + 36) = 234, which is less than the given circumference. Thus, we have possibility that counting starts from 6, then we have: Circumference = (6 + 9 + 12 + 15 + ………………. + 39) = 270, which is still less than the given circumference, Thus, we have possibility that counting starts from 9, then we have: Circumference = (9 + 12 + 15 + ………………. + 42) = 306 That, means we have 12 person in the circle and counting starts from 9 in clockwise direction. N sits 39m right of Q, who doesn’t sits adjacent to O but sits facing center, that means we have two possible combination for distance to be 39m, i.e. (18 + 21) & 39, that means in case (1) one person sits between N and Q, in case (2) no person sits between N and Q. Three person sits between X and N, who neither sits adjacent to G nor sits adjacent to W. X sits immediate left of O. Two person sits between O and E. E sits 51m left of G, only two such combinations are possible (24, 27) & (42, 9), that means in case (1) O sits facing away from center and E sits (42 + 9)q left of G and case (2) is not valid. Based on above given information we have:
Case (2) is not valid as E sits 51m left of G. Again, we have: A sits immediate left of E and is four places away from W. W neither sits adjacent to G nor sits adjacent to L, that means in case (1a) E sits facing away from center and W sits adjacent to X, in case (1b) E sits facing center and W sits adjacent to N. X sits third to right of L.L and A sits facing in same direction, that means in case (1a) L sits facing away from center, in case (1b) L sits facing towards center. F sits 21m right of J. F neither sits adjacent to N nor sits facing same direction with Q, since only such possible combination are (9 + 12)q & 21m, that means in case (1a) J sits facing center and F sits facing away from center and case (1b) is not valid. Not more than four person sits between L and H, when counted left of That means H sits facing away from center and sits immediate right of O. X and N sits facing in same direction but opposite to H, since H sits facing away from center, that means X and N sits facing center. Based on above given information we have final arrangement as follow: Case (1b) is not valid as F sits 21m right of J.
Train ‘A’ running with a speed of 108 km/hr crosses a vertical pole in 6 seconds. Find the approx. time taken by the train ‘A’ to cross a train ...
Two trains started from stations ‘A’ and ‘B’ at same time and started travelling towards each other at speeds of 66 km/hr and 56 km/hr, respecti...
Two cars start from a place with a speed of 50 km/hr at an interval of 12 minutes. What is the speed of a man coming from the opposite direction towards...
Two trains ‘A’ and ‘B’ started from station ‘P’ and ‘Q’ towards station ‘Q’ and ‘P’ respectively at the same time. When they met...
Train X, traveling at a speed of 72 km/hr, crosses another train Y, which is moving in the opposite direction at a speed of 108 km/hr, in 't' seconds. I...
Two cars start from a place with a speed of 65 km/hr at an interval of 15 minutes. A man coming from the opposite direction towards the place meets the ...
750 metres long train crosses a man who is moving in the same direction with a certain speed, in 50 seconds. If the same train can cross a tree in 20 se...
A train can cross a pole, a bridge of 600 meter long and platform of 400 meter long in 13 seconds, _____ seconds and 29 seconds, respectively.
...
Two trains 160 metres and 140 metres in length are running towards each other on parallel tracks, one at the rate 52 km/hr and another at 38 km/hr. In h...
A train crosses a pilar in 20 seconds and a platform of length 300 metres in 25 seconds,then what will the 120% of the length of the train.