since page size is 1k =1024 words so
address range ( Page number)
0-1023 ( 0 )
1024- 2047 ( 1 )
2048- 3071 ( 2 )
3072- 4095 ( 3 )
4096- 5119 ( 4 )
5120- 6143 ( 5 )
6144- 7167 ( 6 )
7168- 8191 ( 7 )
by using above we can make string from given virtual addresses
pages already im memory are 0,2,5,7 now for no page fault to occur string must be 0,2,5,7
choice a will produce string 1,3,4,6 so page fault will occur
choice b will produce string 1,3,4,6 so page fault will occur
choice d will produce string 1,3,4,6 so page fault will occur
choice C will will produce string 0,2,5,7 hence no page fault so ans is C