ISRO Scientist or Engineer Computer Science 2018

Pipes forbid random accessing, while regular files do allow this.

All of the above

A class of 30 students occupy a classroom containing 5 rows of seats, with 8 seats in each row. If the students seat themselves at random, the probability that the sixth seat in the fifth row will be empty is

The domain ofthe function $$\log(\log \sin(x))$$ is

None of the above

The following paradigm can be usedto find the solution of the problem in minimum time:
Given a set of non-negative integer, and a value K, determine if there is a subset of the given set with sum equalto K:

Divide and Conquer

Branch and Bound

(G, *) is an abelian group. Then

$$x = x^$$, for any x belonging to G

$$x = x^2$$, for any x belonging to G

$$(x * y)^2 = x^2 * y^2$$, for any x, y belonging to G

G is of finite order

Consider the following C code segment:
#include
main()
int i, j, x;
scanf("%d", &x);
i = 1; j = 1;
while(1 < 10)j = j * i;
i = i + 1;
if(i == x)break;
>

>
For the program fragment above, which of the following statements about the variables i and j must be true after execution of this program? [ !(exclamation) sign denotes factorial in the answer ]

$$(j = (x - 1)!) \wedge (i \geq x)$$

$$(j = 9!) \wedge (i = 10)$$

$$((j = 10!) \wedge (i = 10)) \vee ((j = (x - 1)!) \wedge (i = x))$$

$$((j = 9!) \wedge (i \geq 10)) \vee ((j = (x - 1)!) \wedge (i = x))$$