Ques:- Find the greatest number which will divide 25, 73 and 97 so as to leave the same remainder in each case.
A. 12
B. 18
C. 24
D. 32
Find the greatest number which will divide 25, 73 and 97 so as to leave the same remainder in each case.
12
greatest number 24
(c) 24
How
(c) 24
24
24
24
24
12
24
cos 25/24 rem=1
73/24 rem=1
97/24 rem=1
24
25/24 = 1 r 1
73/24 = 3 r 1
97/24 = 4 r1
ans : c
required number =H.C.F of (73-25),(97-73) & (97-25)
=H.C.F of 48 , 24 and 72 = 4 (c)