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On a busy Monday morning a certain number of cyclists started from Borivali towards Churchgate. At the Malad junction, half of these cyclists entered Malad while 1/5 of the remaining cyclists joined the cyclists going towards Chuchgate. The same thing happened at Andheri, Santacruz, Bandra and Dadar. No cyclist joined or left the group thereafter. Finally 486 cyclists reached Churchgate. How many cyclists started from Borivali?
  • a)
    6250
  • b)
    1875
  • c)
    2225
  • d)
    2875
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
On a busy Monday morning a certain number of cyclists started from Bor...
There are 486 cyclists at Churchgate. So 486 cyclists left Dadar. Let there be x cyclists before Dadar.
Since half of the cyclists left, there were x/2 cyclists remaining. These were joined by 1/5 of remaining cyclists.
This has to be equal to 486. x = 810
Using the same logic, we have the number of cyclists before Bandra to be 1350, before Santacruz to be 2250, before Andheri to be 3750 and before Malad to be 6250.
Thus total cyclists leaving Borivali is 6250.
Hence, option 1.
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On a busy Monday morning a certain number of cyclists started from Borivali towards Churchgate. At the Malad junction, half of these cyclists entered Malad while 1/5 of the remaining cyclists joined the cyclists going towards Chuchgate. The same thing happened at Andheri, Santacruz, Bandra and Dadar. No cyclist joined or left the group thereafter. Finally 486 cyclists reached Churchgate. How many cyclists started from Borivali?a)6250b)1875c)2225d)2875e)None of theseCorrect answer is option 'A'. Can you explain this answer?
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