If angle bisector of a triangle bisects the opposite side, then what type of triangle is it?

The marked price of an article is ₹ 100. A discount series of 5%, 10% successively reduces the price of an article by 

If $$ {8x\over{2x^{2}+7x-2}}=1, x>0,$$ then what is the value of of $$ {x^{3}+{1\over x^{3}}}$$ ?

The product of two numbers is 2028 and their HCF is 13. The number of such pair is-

If a + b: b+c : c+a= 6:7:8 and a + b+c= 14, , then the value of c is : 

Reshma covers 45 km at a speed of 15 km/h by bicycle, 80 km at a speed of 40 km/h by car, and another 6 km at a speed of 2 km/h on foot. Find her average speed for the whole journey (correct to 2 decimal places).

At what percent per annum will Rs. 3000 amounts to Rs. 3993 in 3 years if the interest is compounded annually?  

In triangle ABC, F is the centroid. If AB=11 cm, BC=14 cm and AC=7 cm, then what is the value (in cm) of EF?