# GATE | GATE CS 2018 | Question 30

• Last Updated : 25 Feb, 2018

Consider a system with 3 processes that share 4 instances of the same resource type. Each process can request a maximum of K instances. Resource instances can be requested and released only one at a time. The largest value of K that will always avoid deadlock is _______ .

Note – This was Numerical Type question.

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(A) 1
(B) 2
(C) 3
(D) 4

Explanation:

Given,
Number of processes (P) = 3
Number of resources (R) = 4

```R ≥ P(N − 1) + 1
```

Where R is total number of resources,
P is the number of processes, and
N is the max need for each resource.

```4 ≥ 3(N − 1) + 1
3 ≥ 3(N − 1)
1 ≥ (N − 1)
N ≤ 2
```

Therefore, the largest value of K that will always avoid deadlock is 2.
Option (B) is correct.

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