Gate Exam

The determinant of the matrix
2 0 0 0
8 1 7 2.
2 0 2 0
9 0 6 1

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Gate Other Question

The minimum number of cards to be dealt from an arbitrarily shuffled deck of 52 cards to
guarantee that three cards are from some same suit is
(a) 3
(b) 8
(c) 9
(d) 12 X,Y and Z are closed intervals of unit length on the real line. The overlap of X and Y is half
a unit. The overlap of Y and Z is also half a unit. Let the overlap of X and Z be k units. Which
of the following is true?
(a) k must be 1
(b) k must be 0
(c) k can take any value between 0 and 1
(d) None of the above
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