The number of prime factors in the expression $(6)^{10} \times (7)^{17} \times (11)^{27}$ is

The product of two numbers is $4107$. If the $HCF$ of these numbers is $37$,then the greater number is

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

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 $m$)

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

Find the greatest number of five digits which when divided by $4, 6, 10$ and $15$ leaves the same remainder $3$ in each case.