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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?
a)1
b)3
c)2
d)4

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TCS Other Question

The prime factorization of integer N is A*A*B*C where A, B and C are all distinct prime integers. How many factors does N have?
a)12
b)24
c)4
d)6
If p(x)=ax^4+bx^3+cx^2+dx+e has roots at x=1,2,3 and 4, and p(0)=48, what is p(5)
a)48
b)24
c)0
d)50