Who has been appointed as the new Secretary of the

The greatest number of four digits which when divided by 6, 8, 10 leave remainders 3, 5, 7 respectively is:

Two positive integers have HCF 12 and LCM 180. If the sum of the two numbers is 96, what is the positive difference between them?

Sum of the two numbers is 42. LCM and HCF of that two number is 72 and 6 respectively. Find the sum of reciprocals of the numbers?

The greatest number, which when subtracted from 1063, gives a number exactly divisible by each of 15, 20, 30 and 35, is:

The HCF and LCM of two numbers, A and B, are 9 and 162, respectively. The difference between these two numbers is 27. Find their sum.

If the product of two numbers is 432 and their HCF is 12, what will be their LCM?

The product of two positive integers is 2646. If their HCF is 7 and their sum is 105, then find the difference between the numbers.

Ratio of two numbers 7:11 and their LCM is 1540. Find the sum of the given two numbers.

The given numbers are in the ratio 2:5:6, and their highest common factor (HCF) is 15. Determine the least common multiple (LCM) of these numbers.