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iii mock paper maths 2016-2017

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Udayan Sathe
Mumbai University (MU), Mumbai
Msc and M.Ed physics

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SECTION A (40 marks) (Solve all questions) Question 1:a) The price of an article inclusive of sales tax of 12% is Rs 2016. Find its market price. If the sales tax is reduced to 7%., how much less does the customer pay for the article? [4] b) Find the remainder when (2x3 3x2 + 7x 8) is divided by (x -1) [3] c) Construct a ABC in which BC = 6.4 cm ABC = 700 and CA = 5.8 cm. Draw the inscribed circle of ABC. Measure the radius of circle. [3] Question 2:a) b) A = 3 1 -1 2 B = -1 6 5 -3 C= 6 2 -4 -3 Verify that (AB)C = A(BC) In the circle O is centre of circle. Find value of a, b, c, A D O [3] [3] C B c) If P = 4xy ; find the value of x+y P + 2x P + 2y P 2x P 2y [4] Question 3:a) b) A die is thrown once. What is the probability of getting a number : [3] i) greater than 2 ? ii) less than or equal to 2 ? Calculate compound interest for the second year and third year on Rs 16000 invested for 5 years at 10% per annum. c) ABCD is a square of side 5 cm inscribed in a circle. Find. i) the radius of circle ii) The area of shaded region. D C D C A A B B [3] [4]

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