If sum of the number 985 and two other numbers obtained by arranging t

1.	If sum of the number 985 and two other numbers obtained by arranging the digits of 985 in cyclic order is divided by 111, 22 and 37 respectively. Find the quotient in each case.
Answer» The given numbers are 985, 859 and 598. The quotient obtained when the sum of these three numbers is divided by: 111 As we know that when the sum of three digit numbers in cyclic order is done and then divided by 111, quotient is sum of digits of a number. Quotient = Sum of digits = 22 We know that when the sum of three digit numbers in cyclic order is done and then divided by sum of digits, quotient is 111. Quotient = 111 Here, 3 × 37 = 111 ∴ Quotient = 3 × (Sum of the digits) = 3 × 22 = 66

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

Answer»

The given numbers are 985, 859 and 598.

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

111

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

Quotient = Sum of digits = 22

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

Quotient = 111

Here, 3 × 37 = 111

∴ Quotient = 3 × (Sum of the digits)

= 3 × 22

= 66