Find the number of Prime Factor of $${(4^{22}+{4^{22}}+{4^{22}}}+{4^{22})}{(3^{22}+3^{22}+{3^{22}})}$$.

Of the three numbers, the ratio of the first and the second is 8 : 9 and that of the second and third is 3 : 4. If the product of the first and third number is 2400. then the second number is: 

For an edition of 12,500 copies, the amount of Royalty paid by the publisher is Rs. 2,18,250. What should be the selling price of the book if the publisher desires a profit of 5%?

$$ {\sqrt{784}} × \sqrt{6.25} + 56\%\ of\ 450=?+186$$

Tapas works twice as fast as Mihir. If both of them together complete a work in 12 days, Tapas alone can complete it in 

If (x+y+z)=12, xy+yz+zx=44 and xyz=48, then what is the value of x³+y³+z³=?

A square has a perimeter equal to 24 units. If the length of each side of the square is reduced by 2 units, then find the area( in sq units) of the square.

The remainder when (15²³ + 23²³⁾ is divided by 19, is