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Consider four processes $\text{P, Q, R,}$ and $\text{S}$ scheduled on a $\text{CPU}$ as per round robin algorithm with a time quantum of $4\text{ units.}$ The processes arrive in the order $\text{P, Q, R, S,}$ all at time $\text{t = 0}.$ There is exactly one context switch from $\text{S}$ to $\text{Q},$ exactly one context switch from $\text{R}$ to $\text{Q},$ and exactly two context switches from $\text{Q}$ to $\text{R}.$ There is no context switch from $\text{S}$ to $\text{P}.$ Switching to a ready process after the termination of another process is also considered a context switch. Which one of the following is $\text{NOT}$ possible as $\text{CPU}$ burst time $\text{(in time units)}$ of these processes?

1. $\text{P = 4, Q = 10, R = 6, S = 2}$
2. $\text{P = 2, Q = 9, R = 5, S = 1}$
3. $\text{P = 4, Q = 12, R = 5, S = 4}$
4. $\text{P = 3, Q = 7, R = 7, S = 3}$

Round Robin QUEUE :--  P,Q,R,S,P,Q,R,S,P,Q,R,S…..

Given that processes arrived in the order P,Q,R and S.

1. Switching to ready processes after termination of currently executing process also a context switch.
2. There is no context switch from S to P. ( Therefore P should be complete with in 1 TQ )
3. There are exactly two context switches from Q to R ( Therefore Q and R both should requires more than 1 TQ )
4. There is exactly one context switch from R to Q ( Therefore Q require more time than R )
5. Exactly one context swich from R to S. ( Therefore S should be complete with in 1 TQ otherwise another CS from R to S required.)
6. Exactly one conext switch from S to Q

Accumulating all the above points

QUEUE :---  P,Q,R,S,Q,R,Q

Given that time quantum = 4.

$0<P_{BT}\leq4$

$0<S_{BT}\leq4$

$8<Q_{BT}$

$4<R_{BT}\leq8$

in Option D, Q’s BT=7. Hence it is not possible.