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N is an integer and N>2 at most how many integers among N+2, N+3, N+4, N+5, N+6 and N+7 are prime integers.

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TCS Other Question

a tourist wants to visit 3 or more of the 5 major cities in india mumbai, bengaluru, chennai, delhi, Kolkata. In how many ways can he plan his tour such that Chennai is always included? The plan of the Tour are different if the cities in the tour or the order of cities is different? X, Y, X and W are integers. The expression X - Y - Z is even and the expression Y - Z - W is odd. If X is even what must be true?
a) W must be odd
b) Y - Z must be odd
c) W must be odd
d) Z must be odd