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: 

A line passing through the origin perpendicularly cuts the line 3x – 2y = 6 at point M. Find the co-ordinates of M. 

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

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

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

The LCM of two positive integers is twice the larger number. The difference of the smaller number and the GCD of the two numbers is 4. The smaller number is: 

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

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