Given the target number (which I would suggest you to play with), this program simulates various situations to reach it.

simulateConditions.cpp

#include <iostream>
#include <cmath>

using namespace std;

int main () {
  double target = 92.51; // update this value to your marks to see possible situations.
  for (int rm = 0; rm <= 100; rm++) { // number of questions removed can either be 0 or all
    int availableQuestions = 100 - rm;
    double perQuestionMark = ((double) 200)/(double (100 - rm));
    for (int i = 0; i <= availableQuestions; i++) { // correct questions range from zero to available
      int corr = i;
      for (int j = 0; j <= availableQuestions - i; j++) { // incorrect questions range from zero to available
        double candidateMarks = perQuestionMark * ((double) i) - (perQuestionMark / 3.0) * ((double) j);
        if (abs(candidateMarks - target) < 0.05) {
          cout << "Removed questions: " << rm << " & per question marks therefore: " << perQuestionMark << ". Correct questions: " << i << " & Incorrect questions: " << j << " & candidate marks: " << candidateMarks << "\n";
        }
      }
    }
  }
  return 0;
}