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THE ADITYA BIRLA PUBLIC SCHOOL, REDDIPALAYAM – 621 704. POST HALF YEARLY EXAM (2019-20) SUBJECT: MATHEMATICS CLASS: X MAX. MARKS: 80 DURATION: 3 HRS General Instructions: All the questions are compulsory. The question paper consists of 40 questions divided into 4 sections A, B, C, and D. Section A comprises of 20 questions of 1 mark each. Section B comprises of 6 questions of 2 marks each. Section C comprises of 8 questions of 3 marks each. Section D comprises of 6 questions of 4 marks each. There is no overall choice. However, an internal choice has been provided in two questions of 1 mark each, two questions of 2 marks each, three questions of 3 marks each, and three questions of 4 marks each. You have to attempt only one of the alternatives in all such questions. Use of calculators is not permitted. SECTION –A (20×1=20) Q 1- Q 10 are multiple choice questions. Select the most appropriate answer from the given options. 189 125 1. The decimal expansion of 2. (A) 1 place of decimal (B) 2 places of decimal (C) 3 places of decimal (D) 4 places of decimal Relationship among mean, median and mode is : 3. will terminate after : (A) 3 Median=Mode+2 Mean (B) 3 Mean=Median+2 Mode (C) 3 Mode=Mean+2 Median (D) Mode= 3 Mean-2 Median If x=a, y-b is the solution of the pair of equation x-y=2 and x + y=4, then the respective values of a and b are : (A) 3, 5 4. (C) 3, 1 (D) -1, -3 The maximum value of sin𝜃is : (A) 5. (B) 5, 3 1 2 (B) √3 2 (C) 1 (D) 1 √2 If tanθ+cotθ=5, then the value of tan2θ +cot2θ is : (a) 23 (b) 25 (c) 27 (d) 15 6. 7. 8. For any positive integer a and 3, there exist unique integers q and r such that a = 3q + r, where r must satisfy. (A) 0 r < 3 (C) 0 < r < 3 (B) 1 < r < 3 (D) 0 < r 3 SECTION – B (6×2=12) 9. Fi SECTION – C 10. Fa SECTION -D 11. By (8× 𝟑=24)