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09 Aug 2021, 05:45
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B
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Difficulty:
5%
(low)
Question Stats:
90% (01:23) correct
10%
(02:29)
wrong
based on 77
sessions
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Amit, Sucheta and Neeti start running around a circular track and complete one round in 18 seconds, 24 seconds and 32 seconds, respectively. In how many seconds will the three meet again at the starting point if they all have started running at the same time?
(A) 196
(B) 288
(C) 324
(D) 326
(E) 328
(A) 196
(B) 288
(C) 324
(D) 326
(E) 328
09 Aug 2021, 05:47
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Bunuel
If Amit, Sucheta and Neeti complete one round in 18 seconds, 24 seconds and 32 seconds, respectively, they will be together at the starting point after LCM(18,24,32) seconds.
\(18=2*3^2..........24=2^3*3.......32=2^5\)
LCM = \(3^2*2^5=9*32=288\)
B
09 Aug 2021, 05:52
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Amit would be at the starting point at 18 seconds then at 36 seconds and so on so forth (multiple of 18)
Sucheta would be at the starting point after 24 seconds then at 48 seconds, 72 seconds (multiple of 24)
Neeti would be at the starting point after 32 seconds, 64 seconds, 96 seconds (multiple of 32)
They all will meet at the starting point first time at the common time in the above three series i.e. LCM of 18, 24, and 32
LCM (18, 24, 32) = 288 seconds
OA should be B
Sucheta would be at the starting point after 24 seconds then at 48 seconds, 72 seconds (multiple of 24)
Neeti would be at the starting point after 32 seconds, 64 seconds, 96 seconds (multiple of 32)
They all will meet at the starting point first time at the common time in the above three series i.e. LCM of 18, 24, and 32
LCM (18, 24, 32) = 288 seconds
OA should be B
