In a blue and yellow painting, blue and yellow are used in the ratio 4 : 3. If the ratio of blue and yellow in the upper part is 2 : 3, then in what ratio will the blue : yellow be in the lower part?

If the angel of elevation of the sun decreases from 45⁰ to 30⁰, then the length of the shadow of a pillar increase by 60 m. The height of the pillar is

The value of   $${cosec^230^0sin^245^0+sec^260^0}\over {tan60^0cosec^245^0-sec^260^0tan45^0}$$ is 

A solid metallic sphere of radius 15 cm is melted and recast into spherical balls of radius 3 cm each. What is the ratio of the surface area of the original sphere and the sum of the surface areas of all the balls?

A and B together can complete a work in 20 days. A is 20 percent more efficient than B, B alone can complete the same work in how many days?

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

$$\left(4{2\over3} + {5{1\over 6}}\right)× {45 \%} \ of \ 240=?$$

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

I. x² - 5x + 6 = 0

II. 2y² - 32y + 126 = 0