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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