TESTfunda - CAT Question of the Day 27-May-12

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Testfunda
27-May-12
CAT Question of the Day
If f is a function such that f(x + y) = f(xy) for all values of x, y ≥ 4. Domain of f is [8, ∞), and f(8) = 9, then find f(100).
OPTIONS
 
 1)9
 2)72
 3)81
 4)900
Tip of the Day
To see whether a number is prime or not, one needs to check whether it is divisible by the prime numbers 2, 3, 5, 7 up to the prime number less than or equal to the square root of the number itself. For example, to check whether 997 is a prime number, one needs to check its divisibility with the prime numbers 2, 3, 5, 7 .... to 31.
Last year's Question of the day (26-May-11)
f(x) is a real polynomial of degree 10 given by a0 + a1x + a2x2 + a3x3 +…+ a10x10. What is the sum of digits of the remainder when f(x) is divided by (x – 2) if a(i–1) = i for all i from 1 to 11?
OPTIONS
 
 1)11
 2)15
 3)9
 4)17
 5)8
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