Find the least multiple of 23, which when divided by 18, 21 and 24 leaves the remainder 7, 10 and 13 respectively.

The greatest number, which when divides 989 and 1327 leave remainder 5 and 7 respectively: 

If the product of three consecutive numbers is 210 then the sum of the smaller numbers is: 

The ratio of HCF and LCM of two numbers a and b is 1:30 and the difference between the HCF and LCM is 493. Find the possible number of pairs of a and b.

Four bells ring at the intervals of 5, 6, 8 and 9 seconds. All the bells ring simultaneously at some time. They will again ring simultaneously after: 

When a number is divided by 15, 20 or 35, each time the remainder is 8. Then the smallest number is 

A six digit number is formatted by repeating a three digit number: for example, 256, 256 or 678, 678 etc. Any number of this form is always exactly divisible by:

What is the highest common factor of 2x³ + x² -x -2 and 3x³- 2x² + x - 2 ?