Vijeta Competitions Editorial Board Solutions for Chapter: Simplifications L.C.M., H.C.F & Number System, Exercise 1: PRACTICE EXERCISE

${\left(1.88\right)}^2+{\left(2.12\right)}^2+2\left(1.88\right)\left(2.12\right)=?$

$\frac{432}{114}÷\frac{18}{19}=?$

The greatest number of four-digits which is divisible by each one of the numbers $12$, $18$, $21$ and $28$ is:

The product of two-digits is $2160$ and their HCF is $12$. The numbers are:4

Find the least number which when divided by $35$, $45$, and $55$ leaves the remainders $18$, $28$, and $38$ respectively.

Find the greatest number that will divide $2930$ and $3250$ and will leave as remainder $7$ and $11$, respectively.

If the GCD of $3556$ and $3444$ is $28$, find their LCM.

The average of the product $\left(\mathrm{a}\times \mathrm{b}\right)$ and $\mathrm{b}$ equals $\mathrm{a}$. An expression for $\mathrm{a}$ is: