78 is divided into two parts in such a way that the ratio of quadruple of the first part and five times the second part is 14: 15. The first part is

A tap can fill a Tank in 16 hours. Due to a hole in its base it I filled in 24 hours, If tank is full then in how many hours it will be empty through the hole.

The twice of sum of the ages of a father and his son is 8times the age of the son. If the average age of the father and the son is 28 years, what is father's age? 

In ∆ABC, AD is the internal bisector of ∠A, meeting the side BC at D. If BD = 5 cm, BC = 7.5 cm, then AB : AC is 

The value of $$ \sqrt { 2^4} \ + \ ^{3}\sqrt {64} \  + \ ^4\sqrt { 2^8} \    $$ is :

The LCM of two numbers is 12 times their HCF. The sum of the HCF and the LCM is 403. If one of the number is 93, then the other number is. 

If $$ {x=2-2^{1\over 3}+2 ^{2\over 3}}$$, then the value of $$ {x^{3}-6x^{2}+18x+18}$$.

Direction : What should come in place of the question (?) in the following question.

$${34×4-12×8\over \ {6^2}+{\sqrt{196}}+(11)^2}=?$$