Vijeta Competitions Editorial Board Solutions for Chapter: Simplifications L.C.M., H.C.F & Number System, Exercise 3: PRACTICE EXERCISE

The least perfect square number, exactly divisible by $2,21,36$ and $56$ is:

What is the greatest number of three digits which when divided by$6,9$, and $12$ leaves a remainder of $3$ in each case?

The HCF of$2923$ and $3239$ is:

The LCM of two numbers is $1764$ and HCF is $60$. If one of the numbers is $420,$ the other number is:

The least perfect square number which is exactly divisible by $4,5,6,12,15,18$and $36$ is:

Four bells begin to toll together respectively at the intervals of $8,10,12$ and $16 \mathrm{seconds}$. After how many seconds, will they toll together again?

The least number of which on being divided by $2,3,4,5,$ and $6$ leaves in each case a remainder $1$ but when divided by $7$ leaves no remainder is:

The least multiple of$7$ which leaves a remainder $3$ when divided by $4$or $12$or $16$ is: