R. S. Aggarwal Solutions for Chapter: Problems on Numbers, Exercise 1: EXERCISE 7A

The sum of the digits of a two-digit number is $11.$ The difference between the number and the number obtained by interchanging its digits is $27.$ The number is:

The sum of the digits of a two-digit number is $12.$ The number obtained by interchanging its digits is $\frac{4}{7}$ of the original number. What is the number?

A two-digit number is such that the product of its digits is $8.$ When $18$is added to the number, the digits are reversed. The number is

In a two-digit number, the digit in the unit place is $2$more than threr times the digit in ten's place. If the sum of the digits is $6,$ the number is :

In a two-digit positive number, the unit digit is equal to the square of ten's digit. The difference between the original number and the number formed by interchanging the digits is $54.$ What is $40\%$ of the original number?

In a three-digit number, the unit digit is $75\%$ of the ten's digit. The ten's digit is greater than the hundred's digit by $1.$ If the sum of ten's digit and hundred's digit is $15,$ what is the number?

In a three-digit number, the unit digit is four times the hundred's digit. If the digits at unit's and ten's places are interchanged, the new number is $18$more than the original number. The hundred's digit is one-third of ten's digit. What is $25\%$ of the original number?

The product of two whole numbers is $37.$ The square root of the difference of numbers is :