Find the value of n when $$ {n=\sqrt{n+ 2 \sqrt{n+2\sqrt{n+2\sqrt{3n}}}}}$$

ABCD is a trapezium in which AB‖CD. M and N are the mid points of AD and BC respectively. If AB=14 cm and MN=15 cm, find CD.

In the given figure, AB‖CD, find the value of x:

One angle of pentagon is 140°. If the remaining angles are in the ratio 1 : 2: 3: 4, the size of the greatest angle is:

Two circle X and Y with centres A and B intersect at C and D. If area of circle X is 4 time area of circle Y, then AB=?

A circle touches a quadrilateral ABCD. Find the true statement: -

The number of students in three classes are in the ratio 2:3:5. If the number of students in each class is increased by 20 the ratio become 4: 5: 7. The total number of students before the increase was

If $$ {81\ × 343\ ×625}={3^{p}}\ {7^{q}}\ {5^{r}}$$ then find out the value of  $$ {\sqrt{(p-r)^{2}+q^{2}}}$$.