The inclination of the object is i=162.24 degrees.although this object is in a periodic orbit about the sun,wh

Question

the inclination of the object is i=162.24 degrees.although this object is in a periodic orbit about the sun,why is it unlikelythat it was as part of the solar system

Answer 1

"Unlikely" is a bit too strong.

Less likely might be better.

When the solar system was formed, the collapsing cloud of dust and gas had already acquired a disk shape.  That is why most stuff in the solar system is (roughly) on the same orbiting plane.

However, many smaller objects (asteroids and comets) are now on highly inclined orbits (even retrograde ones, where i > 90 degrees), because their orbits were perturbed over and over again by the gravity of the massive planets (Jupiter is a common culprit).

Also, the Oort cloud is a reservoir of small objects from the early ages of the solar system.  These objects (being very far from the Sun) are on very slow orbits and can be easily perturbed by the tidal influence of nearby stars and by collisions among themselves.

The cloud itself has a rather spherical shape (unlike the mostly disk shape of the asteroid belt and the Kuyper belt), so that something "falling in" from the Oort cloud could have just about any value for i.

Still,  overall, if something comes from inside the solar system, it will often have a small value for i.  If something comes from outside the solar system, it could have any value for i (but it would not be on a periodic orbit, unless its orbit was perturbed by a planet along the way, in which case any information about its source could get erased).