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Ashoka Universal School, Arjun Nagar Academic Year 2022-2023 Grade X (Pre - Board II) Marks: 80 Mathematics Time: 2:30 Hours. 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 of the answer. Omission of essential working will result in loss of marks The intended marks for questions or parts of questions are given in brackets [ ]. Section A (Attempt all the questions from this section) Q. 1 Choose the correct answers to the questions from the given options: [15] (i) If a shopkeeper buys goods worth Rs. 1000 and sells at a profit of 10 %. If rate of GST is 5 %, then bill amount is: (a) Rs.1050 (b) Rs. 1155 (c) Rs. 1080 (d) Rs. 1000 (ii) The solution set representing following number line is: (a) { : , 2 < < 2} (c) { : , 2 < 2} (b) { : , 2 < 2} (d) { : , 2 2} (iii) The nature of the root of the equation 4x 12x 9 = 0 is: (a) real and equal (b) real and distinct (c) non real roots (d) none of the above (iv) If g(x) = x+1 is a factor of h(x) = 5 3 + 2 8 12, then value of p is: (a) -8 (b) 5 (c) 9 (d) 12 (v) Two matrices A and B are multiplied to get A if: (a) both have same order (b) both are rectangular (c) number of columns in matrix A is equal to the number of rows in matrix B (d) number of columns in matrix B is equal to the number of columns in matrix A (vi) If the nth term of an A.P. is 7- 4n, then its 6th term is : (a) 17 (b) -17 (c) 18 (d) -18 (vii) The point (0, 6) is invariant in line: (a) = 0 (b) = 6 (d) = 6 (c) = 0 (viii) If the vertices of a triangle are (-1, 4), (5, 2) and (-4, -15) then the centroid of the triangle is : (a) (-3, -3) (b) (-3, 0) (c) (0, 3) (d) (0, -3)
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