Question

1.
From a square with sides of length 5, triangular pieces from the four corners are removed
to form a regular octagon. Find the area removed to the nearest integer?
Let f(x) = x2 + ab + b. If for all nonzero real :
2.
1 (2+2) - 11x) + s (4)
and the roots of f(x) = 0 are integers, what is the value of a² + b2 ?
3. Let I, be a positive real number and for every integer n 2 1 let Inti = 1 +1122 ...In-117. If
43. what is the sum of digits of the largest prime factor of 16?
4. An ant leaves the anthill for its morning exercise. It walks 4 feet east and then makes a
160° turn to the right and walks 4 more feet. It then makes another 160° turn to the right and
walks 4 more feet. If the ant continues this pattern until it reaches the anthill again, what is
the distance in feet it would have walked?
5. Five persons wearing badges with numbers 1,2,3,4,5 are seated on 5 chairs around a cir-
cular table. In how many ways can they be seated so that no two persons whose badges have
consecutive numbers are seated next to each other? (Two arrangements obtained by rotation
around the table are considered different.)
6. Let abc be a three digit number with nonzero digits such that a? +62 = 2. What is the
largest possible prime factor of abc?
SPACE FOR ROUGH WORK​

Answer 1

Answer:

e3e44=4=4÷3÷22×2÷4678€7£8€8€__6/6=$/@#$45

Step-by-step explanation:

3e3e3r4e3et5y55