FACTOR AND UNIT DIGIT

Property 6 The units digit of the square of a natural number is the units digit of the square of the digit at units place of the given natural number.

In a 3 -digit number,the tens digit is thrice the units digit and the hundreds digit times the units digit.Also,the sum of its digits is 16. Find the number

I the digit in the unit’s place of a two digit number is halved and the digit in ten’s place is doubled the number thus obtained is equal to the number obtained by interchanging the digits. Which of the following definitely true? a. Sum of the digits is as two digit number. b. Digit in the unit’s place is half of the digit in the tens place. c. Digit in the unit’s place and the ten’s place are equal. d. Digit in the units’ place is twice the digit in the ten’s place.

A three digit number is such that this number itself is divisible by the sum of its digits. The sum of hundreds and unit digit is 6 while the sum of the tens and unit digit is 5. What is the ratio of unit and tens digit :

The digit in the tens place of a two digit number is 3 more than the digit in the units place. Let the digit at units place be b. Then the number is