The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets same number of pens and same number of pencils is:

21 41 91 111

91

1001 =  7 × 11 × 13 910 =  2 × 5 × 7 × 13 H.C.F. of 1001 and 910 = 7 × 13 = 91 Maximum number of students who get same number of pens and same number of pencils is = HCF of 1001 & 910 = 91