For the following questions answer them individually
If $$\sin^2 \theta - 3 \sin \theta + 2 = 0$$, then find the value of $$\theta (0^\circ \leq \theta \leq 90^\circ)$$.
The radius of a right circular cylinder is four times of its height. If the height of the cylinder is 14 cm, then what is the volume of cylinder?
What is the rate of interest per annum for simple interest at which Rs.880 amounts to Rs.913 in $$1\frac{1}{2}$$ years?
A number is decreased by 20% to get another number. The number so obtained is increased by 200% to get a third number. The difference of the third number and the original number is what percentage more or less than the difference of second and the third number?
Any six-digit number that is formed by repeating a three-digit number, is always divisible by:
The printed price of a TV set is ₹14,500. It is sold for ₹10,000 with two consecutive discounts. If the first discount is 10%, then what is the second discount?
If $$a + \frac{1}{a} = 5$$, then what is the value of $$a^3 + \frac{1}{a^3}$$?
The area of a triangle is 96 cm$$^2$$ and the ratio of its sides is 6 : 8 : 10. What is the perimeter of the triangle?
The radii of the ends of a frustum of a cone 7 cm high are 5 cm and 3 cm. Find its volume correct to one decimal place. (Use $$\pi = \frac{22}{7}$$)
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