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- Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case.
Question 1:
Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case.Then sum of the digits in N is:
A. 5
B. 6
C. 7
D. 4
Feedback N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305) = H.C.F. of 3360, 2240 and 5600 = 1120.
Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4
Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4
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