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Assembly of God Church School, Rupaidiha Preliminary Examination 2020-2021 Mathematics / ICSE X (Time Two hours and a half) ------------------------------------------------------------------------------------------------------------------------ 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 is the time allowed for writing the answers. 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 [40 Marks] (Compulsory) (Attempt all questions from this Section) Question 1 (a) Find the value of k if 19x3 17x2 + k.x + 5 leaves a remainder 21 , when divided by 7x + 3. [3] (b) A wholesaler buys an item from the manufactures for Rs 24000. He marks the price of the item 25% above the cost price and sells it to a retailer at 10% discount. If the rate of GST is 8%, find the: (i) Marked price. (ii) GST paid by wholesaler to the government. [3] (c) ABC is a triangle and G (2, 1) is the centroid of the triangle. If A (-1, b), B (4, 2) and C (a, -2) then find a and b . Also find the equation of the line through G and parallel to AC. [4] Question 2 (a) Given 4 1 2 . = 6 , where M is a matrix and I is the unit matrix of order 1 2. (i) State the order of matrix M. (ii) Find the matrix M. [3]
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