Three persons *Sai*, *Gokul*, *Vipin* play a series of games with coins. In each game, they place some coins on a table and pick the coins in turns, starting with *Sai*, then *Gokul*, then *Vipin* and then *Sai* and so on.....

Each person in his turn, has to pick either one or two coins. In any game, the number of coins with which the game starts is termed as the primary count of that game. In each game, they get points according to the following conditions:

(i) The person who picks the last coin is the winner of the game and gets **2** points.

(ii) The person whose turn is next to the winner of that game gets **1** point.

(iii) The person whose turn is before the winner of that game gets **0** points.

Also each person plays intelligently and tries to get the maximum possible points.

**1) For which of the following primary counts will ***Sai*** win?**

a) 12

b) 23

c) 34

d) none of these

**2) For which of the following primary counts will ***Gokul*** gets no points?**

a) 15

b) 16

c) 17

d) none of these

*Gokul and Vipin are friends and hence they want one of them to be the winner( kallatam)*

**3)For which of the following primary counts will Sai win?**

a) 24

b) 25

c) 26

d) none of these

*Gokul and Vipin are friends and hence they want one of them to be the winner*

**4) If they play three games with primary counts as 4,5 and 6, what is the number of points scored by ***Sai*** by the end of these three games? **

a) 5

b) 4

c) 3

d) 2