1) Priyanka has a Recurring Deposit Account of Rs. 1000 per month at 10% per annum. If she gets Rs. 5550½ as interest at the time of Maturity, find the total time for which the account was held.
2) Using properties of proportion, solve for x. Given that X is positive.
![\frac{2x \: + \: \sqrt{4 {x }^{2 } - 1 } }{2x \: - \: \sqrt{4 {x}^{2} - 1 } } = 4 \frac{2x \: + \: \sqrt{4 {x }^{2 } - 1 } }{2x \: - \: \sqrt{4 {x}^{2} - 1 } } = 4](https://tex.z-dn.net/?f=+%5Cfrac%7B2x+%5C%3A++%2B++%5C%3A++%5Csqrt%7B4+%7Bx+%7D%5E%7B2++%7D+-+1+%7D++%7D%7B2x+%5C%3A++-++%5C%3A++%5Csqrt%7B4+%7Bx%7D%5E%7B2%7D+-+1+%7D+%7D++%3D+4)
3) Show that
![\sqrt{ \frac{1 - cos \: y}{1 + cos \: y} } = \frac{sin \: y}{1 \: + \: cos \: y} \sqrt{ \frac{1 - cos \: y}{1 + cos \: y} } = \frac{sin \: y}{1 \: + \: cos \: y}](https://tex.z-dn.net/?f=+%5Csqrt%7B+%5Cfrac%7B1+-+cos+%5C%3A+y%7D%7B1+%2B+cos+%5C%3A+y%7D+%7D++%3D++%5Cfrac%7Bsin+%5C%3A+y%7D%7B1+%5C%3A++%2B++%5C%3A+cos+%5C%3A+y%7D+)
4) Cards bearing numbers 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card which is :
(i) a prime number.
(ii) a number divisible by 4.
(iii) a number that is a multiple of 6.
(iv) an old number.
5) Solve the Quadratic Equation.
![{x}^{2} + 7x \: = \: 7 \: {x}^{2} + 7x \: = \: 7 \:](https://tex.z-dn.net/?f=+%7Bx%7D%5E%7B2%7D++%2B+7x+%5C%3A++%3D++%5C%3A+7+%5C%3A+)
And give your answer correct to two decimal places.
6) The marks of 10 students of Class X in an Examination arranged in ascending order is as follows :
13, 35, 43, 46, x, x + 4, 55, 61, 71, 80.
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