Shyam Saraf and Abhilasha Swarup Solutions for Exercise 1: EXERCISE

The ratio between a two-digit number and the sum of the digits of that number is $4 : 1$. If the digit in the units place is three more than the digit in the tens place, find the number.

A two-digit number, when divided by the sum of its digits, gives $6$ as the quotient. What is the product of the digits?

What is the greatest length which can be used to measure exactly the following lengths: $20$ ft, $13$ ft $9$ in and $21$ ft $3$ in?

What least number should be multiplied with $A=0.969696$ to make it an integer?

A certain number when divided by $899$ leaves the remainder $62$. Find the remainder when the same number is divided by $29$.

Five-digit numbers are formed using only $1, 0, 3, 2$, and $5$ exactly once. What- is the difference between the maximum and minimum numbers that can be formed?

If $p$ is any three-digit number and $q$ is the reverse number of $p$, then $p - q$ is always divisible by:

Let $a$ and $b$ be two non-zero digits. Let $aa$ be a two-digit number and $b\times (aa{)}^3$ is a four-digit number with $1$ in the tens place. Find the numerical value of $b$.