If the sum of the number 842 and two other numbers obtained by arranging the digits in cyclic order is divided by : (i) 111 (ii) 14 (iii) 37

(i) According to the property 3, when abc + bca + cab is divided by 111, the quotient = a + b + c. Here the number is 842 and when it is arranged in cyclic order it becomes 428 and 284. When 842 + 428 + 284 is divided by 111, the quotient = 8 + 4 + 2 = 14. (ii) According to the property 3, when abc + bca + cab is divided by a + b + c, the quotient = 111 . Here the number is 842 and when it arrange in cyclic order it becomes 428 and 284. When 842 + 428 + 284 is divided by 8 + 4 + 2 (14), the quotient = 111. (iii) Here the number is 842 and when it arrange in cyclic order it becomes 428 and 284. When 842 + 428 + 284 is divided by 37, the quotient = 42.

If a = b, show that abc = bac.

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Write the quotient when the difference between 694 and number obtained on interchanging its ones and hundreds digits is divided by :
(i) 33
(ii) 99
(iii) 2

Mathematics

If the sum of the number 842 and two other numbers obtained by arranging the digits in cyclic order is divided by :
(i) 111
(ii) 14
(iii) 37

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If the sum of the number 842 and two other numbers obtained by arranging the digits in cyclic order is divided by :(i) 111(ii) 14(iii) 37

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If a = b, show that abc = bac.

Write the quotient when the difference between 694 and number obtained on interchanging its ones and hundreds digits is divided by :(i) 33(ii) 99(iii) 2

If a * b = a + 2b + 5, then find the value of 4 * 5.

If a * b = 2a – b – 2, find the value of 8 * 7.

If the sum of the number 842 and two other numbers obtained by arranging the digits in cyclic order is divided by :
(i) 111
(ii) 14
(iii) 37

Write the quotient when the difference between 694 and number obtained on interchanging its ones and hundreds digits is divided by :
(i) 33
(ii) 99
(iii) 2