Math Olympiad 2080 NMSS

Cross section of the intersection of right circular cone and plan where plan is perpendicular to the axis of the cone is ...

• Circle

• Ellipse

• Parabola

• Hyperbola

The sum of a complex number and it's conjugate is ...

• Purely Imaginary

• Purely Real

• Both imaginary and Real

• Zero

If the feasible region is unbounded above what about the extreme values ?

• It has no maximum value

• It has no minimum value

• It has maximum value

• It has minimum value

How many numbers of 3 digits number can be formed between 400 and 500 by using integers 1,2,3,4,5,6 without repetition ?

• 10 ways

• 15 ways

• 20 ways

• 25 ways