MathDB

1

Part of 2019 India PRMO

Problems(2)

Removed coreners from a square

Source:

8/11/2019
Form a square with sides of length 55, triangular pieces from the four coreners are removed to form a regular octagonn. Find the area removed to the nearest integer.
PRMO OLYMPIADPRMOPRMO 2019 Q1
A tough P1

Source: PRMO 2019 Leg 2 P1

8/25/2019
Consider the sequence of numbers [n+2n+12]\left[n+\sqrt{2n}+\frac12\right], where [x][x] denotes the greatest integer not exceeding xx. If the missing integers in the sequence are n1<n2<n3<…n_1<n_2<n_3<\ldots find n12n_{12}
number theoryPRMO