If a number is increased by 24 and then divided by 5 the result is 7

the number is 11

11+24 = 35

35/5=7

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.