Refer to the following data and answer the questions that follow:
A numerical machine accepts two values X and Y. Then it updates these values as X = XY and Y = Y + 1 in every step. The machine stops at X $$\geq$$ N.
For X = 3, Y = 2 and N = 100, how many steps are performed before the machine stops?
If the value of N is changed to 500, what would be the final value of X?
If X = 2 and Y = 3, what should be the minimum value of N such that final value of Y is 7?
Refer to the following statements and answer the questions:
Seven students Priya, Ankit, Raman, Sunil, Tony, Deepak and Vicky take a series of tests. No two students get similar marks. Vicky always scores more than Priya. Priya always scores more than Ankit. Each time either Raman scores the highest and Tony gets the least, or alternatively Sunil scores the highest and Deepak or Ankit scores the least.
If Sunil is ranked sixth and Ankit is ranked fifth, which of the following can be true?
If Raman gets the highest, Vicky should be ranked not lower than:
If Raman is ranked second and Ankit is ranked first, which of the following must be true?
If Sunil is ranked second, which of the following can be true?
If Vicky is ranked fifth, which of the following must be true?