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ICSE Class X Prelims 2021 : Mathematics (Seth Juggilal Poddar Academy (SJPA), Malad East, Mumbai)

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A.B.V.M. Agrawal Jatiya Kosh s Seth Juggilal Poddar Academy(ICSE) Second Preliminary Examination (2020 21) Sub: Mathematics STD: X Marks: 80 Date: 15/03/2021 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 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 [ ]. Mathematical tables are provided. SECTION A [Attempt all questions from this section] Question 1) a) A retailer buys a T V from a manufacturer for Rs.25000. He marks the price of the TV 20% above his cost price and sells it to a consumer at 10% discount on the marked price. If sales are intra-state and rate of GST is 12% find: [3] i) The marked price of T V. ii) Consumer s cost price of TV inclusive of tax (under GST). iii) GST paid by the retailer to the Central and State Governments. b) Prove that : tan2 + cot 2 + 2 = sec 2 cosec 2 [3] c) From a solid cylinder of height 24cm and radius 7cm, a conical cavity of same radius and height are made. Calculate the volume and surface area of the remaining solid . Page 1 of 6 [4]

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