Find the least number of five digits which when divided by $8, 12, 16$ and $20$ leaves remainders $1, 5, 9$ and $13$ respectively.

The traffic lights at three different road crossings change after every $48\, seconds,$ $72\, seconds$ and $108\, seconds,$ respectively. If they all change simultaneously at $8: 20: 00$ $hours,$ then they will again change simultaneously at

Find the greatest number that will divide $43, 91$ and $183$ so as to leave the same remainder in each case.

The least number which when divided by $12, 15, 20$ and $54$ leaves in each case a remainder of $8$ is:

The areas of three fields are $165 \ m^2$,$195 \ m^2$,and $85 \ m^2$ respectively. In each of the fields,a flower bed of equal length has to be made. If the flower bed in each of the fields is $3 \ m$ wide,then what is the maximum length of the flower bed in each of the fields? (in $m$)

Find the smallest whole number which is exactly divisible by $6, 8, 15, 18$ and $24$.