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G.D.SOMANI MEMORIAL SCHOOL PRELIM EXAMS SUB: MATHEMATICS MARKS:80 DATE: 21/01/2021 TIME:2%HRS. Answers to this Paper must be written on the paper provided separately. You will not be allowed to write during the first 15 minutes. This time is to be spent in reading the question paper. The time given at the head of this Paper isthe timeallowedforwritingtheanswers. Attempt 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 e the answer. Omission ofessential working will result in the loss of marks. The intended marks for questions or parts of questions are given in brackets I Mathematical tables are provided. SECTION - A [40 Marks] (Attempt all questions from this Section) Question: 1 [a] Solve the following inequation, write the solution set and represent it on the 3 real number line. 2 [b] s 2, xEl Find the value of k, for which the equation 3x- 6x + k = 0 has distinct and real roots. 41 Mr. Tripathi bought some items as per the details given below: MRP (in Rs) for each item Number of items Discount % | CGST % 200 125 20 32 35 25 Calculate: the total amount of GST paid. il the total bill amount including GST paid by Mr. Tripathi. Question:2 Use factor theorem to factorise 3x + 2x* - 19x + 6 completely. [al [b] cl A bag contains 4 green, 12 red and x yellow balls. Express the probability of getting a yellow ball in terms of x. When a ball is drawn at random, the probability of getting a yellow ball is double that of a green ball. Find: the number of yellow bals. the probablity of getting a red bal. Mis the mid-point ofthe line segment Joining the points A(-3, 7) and B (9, -1). Find the co-ordinates of point M. Further, if R(2, 2) divides the line segment joining M and the origin in the ratio p: q, find the ratio p:q. (3] (3 4 (This paper consists of5 printed pages & one blank page)
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