Question

If the sum of the number 985 and two other number obtained by arranging the digit of 985 in cyclic order is divided by 111, 22, 37 respectively. Find the quotient in each case. ​

Answer 1

Answer:

The given numbers are 985,859 and 598.

The quotient obtained when the sum of these three numbers is divided by 111

We know that when the sum of three-digit numbers in cyclic order is done and then divided by 111, quotient is the sum of digits of a number.

Quotient = Sum of digits =22

22 (Sum of digits)

We know that when the sum of three-digit numbers in cyclic order is done and then divided by the sum of digits, the quotient is 111.

Quotient =111

37

Here, 3×37=111

Hence, quotient =3× (Sum of the digits) =3×22=66