ABCD is a cyclic quadrilateral. Diagonals BD and AC intersect each other at E. If <BEC = 128° and <ECD = 25°, then what is the measure of <BAC?

In the given question, two equations numbered l and II are given. Solve both the equations and mark the appropriate answer.

I. x²– 35x + 294 = 0

II. y²– 68y + 1140 = 0

A can do a work in 20 days and B in 50 days. If they work on it together for 5 days, then what fraction of work is left?

Each side of a square is 12 cm long. The perimeter of this square is equal to the perimeter of a rectangle whose length is 16 cm. What will be the area of this rectangle?

Two vessels A and B contains acid and water in the ratio 4:3 and 5:3 respectively Then the ratio in which these mixtures to be mixed to obtain a new mixture in vessel C containing acid and water in the ratio 3:2 is 

If α, β are the roots of 6x²+13x+7=0, then the equation whose roots are α², β² is:

If a + b + c = 6, a² + b² + c² = 14 and a³ + b³ + c³ = 36, then the value of abc is

If the volume and curved surface area of a cylinder 616 𝐦𝟑 and 352m2 respectively, what is the total surface area of the cylinder (in 𝐦𝟐)?