Gate Exam

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.

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Gate Other Question

In how many ways can a given positive integer n 3 be expressed as the sum of 3 positive
integers (which are not necessarily distinct). For example, for n = 4, the number of ways is 3,i.e., 1+2+1, 2+1+1. Give only the answer without any explanation.
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