A student is asked to form numbers between $3000$ and $9000$ with digits $2,3,5,7$ and $9$. If no digit is to be repeated, in how many ways can the student do so?

When asked for his taxi number, the driver replied, “If you divide the number of my taxi by $2,3,4,5,6$ each time you will find a reminder of one. But, if you divide it...

If $x$ is a real number, $[x]$ is greatest integer less than or equal to $x$, then $3[x]+2-[x]= 0$. Will the above equation have any real root?YesNoWill have real roots f...

A certain number written in a certain base is $144$. Which of the following is always true?Square root of the number written in the same base is $12$.If base is increased...