Q 1 How many different values are taken by the expression [x] + [2x] + [5x/3] + [3x]+ [4x] for real x in the range 0 < x < 100? [ ] denotes the greatest integer function.
Q2. Let a and b be positive real numbers for which
60a = 3 and 60b = 5. Without the use of a calculator or
of logarithms, determine the value of
12[(1-a-b)/{2(1-b)}]
Moderation Team
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