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THE INDIAN PUBLIC SCHOOL, DEHRADUN PRE-BOARD-II 2016-17 MATHEMATICS/CLASS X TIME: 2Hrs30Mins MM: 80 RST: 35 DATE: 1/2/17 Answers to this paper must be written on the paper provided separately. You will not be allowed to write during first 15 minutes. This time is to be spent in reading the question paper. The time given at the head of this Paper is allowed for writing the answer. Answer all questions from section A and any four questions from section B. All working, including rough work, must be clearly shown and must be done on the same sheet as the rest of the answer. Omission of essential working will result in the loss of marks. The intended marks for questions or parts of questions are given in brackets [ ]. Section-A (40 Marks) QUESTION 1. a) Mohini borrowed Rs. 20,000 for 3 years. The rate of interest for the three successive years was 8%, 9% and 10% respectively. If she repays Rs. 6600 at the end of the first year and Rs. 6350 at the end of the second year, find the outstanding amount at the end of third year. [3] b) Solve the following in-equation, write the solution set represent it on the number line. 3 x 4 x + 2, where x I . 2 3 [3] c) A jar contains 24 marbles, some green and others blue. If a marble is drawn at random from the 2 jar, the probability that it is green is . Find the number of blue marbles in the jar. 3 [4] QUESTION 2. a) Find the values of [ ][ ] [ ] x y ,if 2 x x 3 = 16 y 3y 2 9 b) Anjana has a recurring deposit account in a bank for [3] 3 1 2 years at 9.5% S. I. per annum. If she gets Rs. 78,638 at the at the time of maturity, find the amount of monthly installment. [3] c) Points A, B and C have coordinates (0, 3), (4, 4) and (8, 0) respectively. Find the equation of the line through A and perpendicular to BC. [4] QUESTION 3. a) Without using trigonometric tables, evaluate: 1
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