MBA Exam

Two cars race around a circular track at constant speeds starting from the same point. If they travel in opposite directions, then they meet every 35 seconds. If they travel in the same direction, then they meet every 3 minutes and 30 seconds. How long (in seconds) would the faster car take to complete one round of the circular track?

1) 96
2) 84
3) 60
4) 72
5) Data Insufficient

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MBA Other Question

In triangle ABC, the longest side BC is of length 20 and the altitude from A to BC is of length 12. A rectangle DEFG is inscribed in ABC with D on AB, E on AC, and both F and G on BC. The maximum possible area of rectangle DEFG is

1) 60
2) 100
3) 120
4) 150
A certain number system has base n. The sum of two three-digit numbers in this system is 711 and their difference is 75. If the middle digit of each of the numbers is 0 and the product of the two numbers is 144122, which of the following is the value of n

1) 7
2) 10
3) 9
4) 8