The Digital Divide

Write the quotients when the difference of 985 and the number obtained by interchanging its ones and hundreds digits is divided by 99 (ii) 4 (iii) 33

A number consists of two digits. When it id divided by the sum of its digits, the quotient is 6 with no remainder. When the number is diminished by 9, the digits are reversed. Find the number.

The sum of the digits of a two-digit number is 1/7 of the number. The units digit is 4 less than the tens digit. If the number obtained on reversing its digit is divided by 7, the remainder will be: दोअंकों की एक संख्या के अंकों का जोड़ संख्या का 1/7 है | इकाई अंक दहाईं के अंक से 4 कम है | यदि इसके अंकों को पलटने से बनी संख्या को 7 से भाग दिया जाए, तो शेषफल होगा :

Is a two-digit integer 'x' dividible by 12? I. When 'x' is divided by 5, the remainder is 2. II. When 'x' is divided by 3, the remainder is 1.

What is the largest number of 4 digits which divided by 6,9,12, 15 ,18 leaves 1 as remainder in each case