Arihant Expert Team Solutions for Exercise 1: Practice Questions

Find the greatest possible length of the planks, if three pieces of timber $42 m, 49 m$ and $63 m$ long have to be divided into planks of the same length ?

Monica, Veronica and Rachat begin to jog around a circular stadium. They complete their revolutions in $42 \mathrm{s}, 56 \mathrm{s}$ and $63 \mathrm{s}$, respectively. After how many seconds will they be together at the starting point?

The capacity of two pots are $240 \mathrm{L}$ and $112 \mathrm{L}$, respectively. Find the capacity of a container which can exactly measure the contents of the two pots?

A least number of $4$ digits when increased by $5$ is completely divisible by $12, 15, 20$ and $35$. The number is ?

$A, B, C$ start running at the same time and at the same point in the same direction in a circular stadium. $A$ completes a round in $252 \mathrm{s}$, $B$ in $308 \mathrm{s}$ and $C$ in $198 \mathrm{s}$. After what time will they meet again at the starting point?

A milk vendor has $21 \mathrm{L}$ of cow milk, $42 \mathrm{L}$ of toned milk and $63 \mathrm{L}$ of double toned milk. If he wants to pack them in cans, so that each can contains same number of litres of milk and does not want to mix any two kinds of milk in a can, then the least number of cans required, is ?

The number of integers in between $100$ and $600$, which are divisible by $4$ and $6$ both, is?

The LCM of two numbers is $520$ and their HCF is $4$. If one of the numbers is $52$, then the other number is?