For the following questions answer them individually
Simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on Rs 1200 for 2 years at 10% per annum. The sum placed on simple interest is
If 2x + 3(5-2x) > 2 - 3x < 2x - x/3, then x can take which of the following values?
If x + y = 12 and xy = 32, then what is the value of $$x^{2} + y^{2}$$
Which of the following numbers is completely divisible by 99?
If cosC + cosD = x, then value of x is
What is the length of the arc whose central angle is 30° and radius of the circle is 21 cm?
A solid copper sphere of radius 9 cm is melted and reformed into a wire of radius 1 mm. What will be the length of this wire? (Take π = 22/7)
The simplified form of $$(4x + 3)^2(3x - 5) - (4x^{3} - 12x^2 + 9x - 20)$$ is
The sum of a non-zero number and its reciprocal is 2. What is the number?