XAT 2021 — Decision Making Question 11
Read the following scenario and answer the three questions that follow.
The following plot describes the height (in cm), weight (in kg), age (in years) and gender (F for female, M for male) of 20 patients visiting a hospital.
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A person’s body mass index (BMI) is calculated as weight (in kg) divided by squared height (measured in square metres). For example, a person weighing 100 kg and of height 100 cm (1m) will have a BMI of 100. A person with BMI less than or equal to 18.5 is considered as underweight, above 18.5 but less than or equal to 25 as normal weight, above 25 but less than or equal to 30 as overweight, and above 30 as obese.
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 ?
Answer & solution
- A
43
- B
36
- C
They will never be at the start line together again before 4:30 p.m.
47
- E
28
All the four friends will meet at the starting point after LCM(60,90,40,80) = 720 seconds.
Number of laps by A in 720 seconds = 12
Number of laps by B in 720 seconds = 8
Number of laps by C in 720 seconds = 18
Number of laps by D in 720 seconds = 9
Together they complete = 47 laps