Number Riddle (Puzzle)

The general form of number $98$ is $10\times 9 +8$. Which of the following is the general form of number $1072$?

Priya has two sets of three number cards $1, -3, 9$ and $– 27$. Which of the following is the smallest number she can make by adding the numbers on cards?

A two-digit number has different digits at the ones and tens place. The number is multiplied by $6$. The product is a three-digit number. Each digit of the product is ones digit of the original number. What is the original number?

A three-digit number can be written as $100x+10y+z$. A new number is formed by interchanging $x \text{and} z$. What is the difference between the two numbers?

Divide $75$ into $4$ parts such that if $1st$ part is increased by $4, 2nd$ is diminished by $2, 3rd$ part is divided by $3$ and $4th$ part is multiplied by $2,$ then it will give the same result in each case. Find the product of all four parts.

The sum of all $3$ -digit numbers which are equal to $11$ times the sum of squares of their digits is

Convert the following generalized form into an integer number.

$10\times 9+1$

Convert the following generalized form into an integer number.

$10\times 5+9$

Write the following number in generalized form.

$32$

Write the following number in generalised form.

$25$

The generalised form of $108=a\times 100+b\times 10+c$, then find the value of $a+b+c$.

The usual form of $100\times c+10\times b+a$ is $cba$.

The sum of a $2$-digit number and number obtained by reversing the digits is always divisible by $11$ and  _____ of digits. (Sum/Difference)

Write $247,484,875$ and $907$ in general form.

Take some numbers made of two digits and form the equations of the numbers by the above mentioned method.

A number $x46$ has an algebraic digit $x$. The number obtained by reversing the digits is when subtracted from the original number $x46$ gives  $297$. Find the value of $x$.

What is the place value of $a$ in the number $bac$?

Which digit is in the tens place of $xy$?

Verify the sum property as discussed for the following number.
$78$

Verify the sum property as discussed for the following number.
$34$