Xavier Aptitude Test 2021 Paper

Question : 27 of 100

Marks: +1, -0

Four friends, Ashish, Brian, Chaitra, and Dorothy, decide to jog for 30 minutes inside a stadium with a circular running track that is 200 metres long. The friends run at different speeds. Ashish completes a lap exactly every 60 seconds. Likewise, Brian, Chaitra and Dorothy complete a lap exactly every 1 minute 30 seconds, 40 seconds and 1 minute 20 seconds respectively. The friends begin together at the start line exactly at 4 p.m.
What is the total of the numbers of laps the friends would have completed when they next cross the start line together ?

43
36
They will never be at the start line together again before 4:30 p.m.
47
28

Validate

Solution:

All the four friends will meet at the starting point after

\LCM (60,90,40,80) = 720 \seconds

.
Number of laps by

\A

720 \seconds = 12

Number of laps by

\B

720 \seconds = 8

Number of laps by

\C

720 \seconds = 18

Number of laps by

\D

720 \seconds = 9

Together they complete

= 47 \laps

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