Q. 155.0( 3 Votes )

# 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 :

Here our given numbers are 985, 859 and 598.

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

1) 111

We know that when 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

2) 22 (Sum of digits)

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

Quotient = 111

3) 37

Here, 3 × 37 = 111

∴ Quotient = 3 × ( Sum of the digits) = 3 × 22 = 66

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