Gate Exam

The set {1, 2, 4, 7, 8, 11, 13, 14} is a group under multiplication modulo 15. the inverses
of 4 and 7 are respectively:
(a) 3 and 13
(b) 2 and 11
(c) 4 and 13
(d) 8 and 14

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Gate Other Question

Let f(x) be the continuous probability density function of a random variable X. the
probability that a < X < b, is:
(c) ff(x)dx
(d) fxf(x)dx
The range of integers that system is:
(a) _2?_1 to (2_1 - i)
(c) _2?_1 to 2?_1