Statement 1: `1^(99)+2^(99)++100^(99)` is divisible by 10100.
Statement 2: `a^n+b^n` is divisible by `a+bifn` is odd.
Only conclusion I follows Only
conclusion II follows
Either I or II follows
Neither I nor II follows

Statement 1: The number of distinct terms in (1+x+x^2+x^3+x^4)^(1000) is 4001. Statement 2: The number of distinct terms in expansion (a_1+a_2++a_m)^ni s^(n+m-1)C_(m-1)^dot Only conclusion I follows Only conclusion II follows Either I or II follows Neither I nor II follows

Statement-l: If the diagonals of the quadrilateral formed by the lines px+ qy+ r= 0, p'x +q'y +r'= 0 , are at right angles, then p^2 +q^2= p' ^2+q' ^2 . Statement-2: Diagonals of a rhombus are bisected and perpendicular to each other. Only conclusion I follows Only conclusion II follows Either I or II follows Neither I nor II follows

Statement 1 : Let the vertices of a A B C be A(-5,-2),B(7,6), and C(5,-4) . Then the coordinates of the circumcenter are (1,2)dot Statement 2 : In a right-angled triangle, the midpoint of the hypotenuse is the circumcenter of the triangle. Only conclusion I follows Only conclusion II follows Either I or II follows Neither I nor II follows

Statement -I , 3^(2n+2)-8n-9 is divisible be 64 , (AAn in NN) Syatement - II : (1+x)^(n)-nx-1 is divisible by x^(2),(AAn inNN)

Which of the following statements are correct for the following isomeric compounds I and II :

Statement - I : For every natural number ((n+4)!)/((n+1)!) is divisible by 6. Statement - II : Product of three consective natural numbers is divisible by 3 !