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MATHEMATICS (Std X) (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) Attempt all questions from this Section Question 1 A. Renu has a cumulative deposit account of 200 per month at 10% per annum. If she gets 6775 at the time of maturity, find the total time for which the account was held. [3] B. Given A= { : 8 < 5 + 2 17, }, = { : 2 7 + 3 < 17, } Represent A and B on two different number lines. Write down the elements of . [3] C. Factorise the expression ( ) = 2 X 7 Y 3 + 18. Hence, find all possible values of for which f( ) = 0. [4] Question 2 2 A. Find the matrix A, if = Z 0 \ 1 [ and Y = + Y 1 B. If , , are in continued proportion and ( ) = 2 , prove that: = [3] Y(`ab) ` [3] C. Find using quadratic formula, the roots of the following quadratic equations, if they exist (i) 3 Y 5 + 2 = 0 (ii) Y + 4 + 5 = 0 [4] Question 3 A. Anil went to a shop to buy a bicycle costing 10620.The rate of CGST is 9%. He asks the shopkeeper to reduce the price of the bicycle to such an extent so that he has to pay 10620 inclusive GST. Find the reduction needed in the price of the bicycle. [3] This Paper consists of 6 pages Std X Preliminary Examination 2020-21 Mathematics- Monday,18th January, 2021 Page1
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