SSC Government Jobs Exams Numerical Ability Geometry

In triangle ABC, the bisector of angle BAC intersect BC at D and the circumcentre of triangle ABC at E. IF AB:AD=3:5, then AE:AC is?

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Q. A container is filled with 80 litre milk, 10 litre milk is drawn out and 20 litre water is added then 20 litre mixture is drawn out and 30 litre water is added after this 30 litre mixture is drawn out and 40 litre water is added.
Find ratio of milk and water and final quantity of milk.
The area of aright-angled triangle is 34 cm2 and one of the sides containing the
right angle is 6 cm. The altitude on the hypotenuse is