CAT Exam

let n!=1*2*3*---*n for integer n>=1.If p=1!+(2*2!)+(3*3!)+----+(10*10!),then p+2 when divided by 11! leaves a remainder of
1) 10
2) 0
3) 7
4) 1

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CAT Other Question

Out of all the 2-digit integers between 1 and 100, a 2-digit number has to be selected at random. What is the probability that the selected number is not divisible by 7?
option
(A) 13/90
(B) 12/90
(C) 78/90
(D) 77/90
find the no of solutions of 3^x + x^2 =5