The radii of two right circular cylinders are in the ratio 3:2 and the ratio of their volumes is 27: 16. What is the ratio of their heights?

In ΔABC, D is a point on side BC such that ∠ADC = 2∠BAD. If ∠A = 80° and ∠C = 38°, then what is the measure of ∠ADB?

If a regular polygon has 16 sides, then what is the measure (in degrees) of its each interior angle?

A, B and C invested capital in the ratio 5: 7: 4, the timing of their investments being in the ratio x : y : z. If their profits are distributed in the ratio 45: 42: 28, then x : y : z = ?

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

I. x² + 31x + 240 = 0

II. 5y²+ 60y + 135 = 0

If a + b – c = 0 then the value of 2b²c² + 2c²a² + 2a²b² –a⁴ – b⁴ – c⁴

The value of   $${sin23^0cos67^0+sec52^0sin38^0+cos23^0sin67^0+cosec52^0cos38^0}\over cosec^220^0-tan^270^0$$ is

The value of   $${cosθ+sin^6θ+3sin^2θ \ cos^2θ}\over cosecθsecθ(sinθ+cosθ-1)(sinθ+cosθ+1) $$