I'm giving a scholarship exam to study undergrad engineering in Japan. They have a sample test on their site for practice, I've attempted it but have no one to check my answers and they aren't given anywhere, so please check and correct whever nessasary download the question paper from here. Even though the paper is in english, you'll need to get japanese support on your acrobat. My Answers 1) 1. x lies between 1 and 2, not including 1 and 2 2. x=1 3. x=2 4. x lies between pi/6 and pi/3 and between 2*pi/3 and 5*pi/6, ends not included 5. x lies between negative infinity to -1 and further between 1 to infinity, ends not included. 6. r=sqrt(3), theta=pi/6 7. a=2, b=13 8. 6 9. 7 10. 0 11. 1/45 and 14/45 respectively 2) 1. (a^3)/8 2. (a/2)^n 3) a=-1, b=0, c=2 4) a. (1-k)x - y + (k^2)/2 = 0 b. Couldn't solve, please help c. Dependent on part b, so couldn't solve.