Gate Exam

A and B are the only two stations on an Ethernet. Each has a steady queue of frames to
send. Both A and B attempt to transmit a frame, collide, and A wins the first backoff race. At
the end of this successful transmission by A, both A and B attempt to transmit and collide. The
probability that A wins the second backoff
race is
(a) 0.5
(b) 0.625
(c) 0.75
(d) 1.0

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Gate Other Question

What is the result of evaluating the following two expressions using three-digit floating point arithmetic with rounding?
(113.+111.)+ 7.51
113.+(111.+ 7.51)
(a) 9.51 and 10.0 respectively
(b) 10.0 and 9.51 respectively
(c) 9.51 and 9.51 respectively
(d) 10.0 and 10.0 respectively. The inclusion of which of the following sets into
S {{i, 2} , {1, 2, 3}, {1, 3, 5} , {1, 2, 4} , {1, 2,3,4, 5}}
is necessary and sufficient to make S a complete lattice under the partial order
defined by set containment?
(a) {1}
(b) {1},{2,3}
(c) {1},{1,3}
(d) {1},{1,3},{1,2,3,4},{1,2,3,5}