Without performing actual addition find the quotient when the sum of number 981 and two other numbers formed by its digits on arranging in cyclic order, is divided by 111, 333, 666 and 18.
Answers
Given : the sum of number 981 and two other numbers formed by its
digits on arranging in cyclic order,
To Find : quotient when the sum divided by 111,333, 666 and 18.
Solution:
981 and two other numbers formed by its digits on arranging in cyclic order
Hence sum at Each position will be 9 + 8 + 1 = 18
unit place = 18
ten place = 18
100's place = 18
18 ( 100 + 10 + 1)
= 18 * 111
the quotient when divided by 18 = 1111
the quotient when divided by 111 = 18
Now further
18 * 111
3 * 6 * 111
3 * 6 * 111 = 333 * 6
the quotient when divided by 333 = 6
3 * 6 * 111 = 3 * 666
the quotient when divided by 333 = 3
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Step-by-step explanation:
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