
The HCF of two numbers is and their sum is . Find the number of pairs of numbers that satisfy the given condition.


Important Questions on Real Numbers



A fruit vendor has mangoes, oranges, and apples. He sells each of these fruits in a package containing the same number of fruits of the same kind and has found that apples, oranges, and mangoes are left out.
Find the greatest possible size of the package, where size of the package is defined as the number of fruits in each package.

A fruit vendor has mangoes, oranges, and apples. He sells each of these fruits in a package containing the same number of fruits of the same kind and has found that apples, oranges, and mangoes are left out.
Find the minimum number of fruit packages.

A fruit vendor has mangoes, oranges, and apples. He sells each of these fruits in a package containing the same number of fruits of the same kind and has found that apples, oranges, and mangoes are left out.
If he sells each package of mangoes at , oranges at and apples at then find the total selling price.

The natural number other than which is not prime is called _____ number.

All odd numbers are prime numbers except_____
