MBA Exam

A person starts from the origin of the coordinate axis . He travels inthis pattern . 1 unit to right , (1/2) units up , (1/4) units right, (1/units down , and continues the above pattern . At what point will heultimately come to stop?

1) (4/3,2/5)
2) (3/2,4/3)
3) (2/5,4/3)
4) (4/5,4/3)

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MBA Other Question
There are two counters, each representing numbers in terms of digits at 4 places; for example 3124. The first counter has digits 0, 1, 2, 3, 4, 5 and 6; while the second counter has digits 0, 1, 2, 3 and 4.Both the counters start with a display ‘0000’ and then the right-most digit advances by 1 every second. Once it completes one full cycle, the second digit from the right advances by one digit. Once this digit completes one full cycle, the third digit from the right advances by one digit. And this continues. For example, after 4 seconds the second counter will show ‘0004’, and in the next second it will show ‘0010’. Also, after showing ‘0044’, the second counter will show ‘0100’. After approximately how many hours will the leftmost digits of both the counters advance at the same time for the first time?

1) 10 hours
2) 12 hours
3) 9 hours
4) 14 hours
 If a^2 + b^2 =32 then determine the maximum value of 4ab.

1) 32
2) 64
3) 128
4) 256