Section A: Section A consists of 20 questions of 1 mark each.
1. If two positive integers p and q can be expressed as p = ab2 and q = a3b; a, b being prime numbers, then LCM (p, q) is (a) ab (b) a2b2 (c) a3b2 (d) a3b3
2. What is the greatest possible speed at which a man can walk 52 km and 91 km in an exact number of hours? (a) 17 km/hours (b) 7 km/hours (c) 13 km/hours (d) 26 km/hours
3. If one zero of the quadratic polynomial x 2 + 3x + k is 2, then the value of k is (a) 10 (b) -10 (c) 5 (d) –5
4. Graphically, the pair of equations given by 6x – 3y + 10 = 0 2x – y + 9 = 0 represents two lines which are
(a) intersecting at exactly one point. (b) parallel. (c) coincident. (d) intersecting at exactly two points.
5. If the quadratic equation x2 + 4x + k = 0 has real and equal roots, then (a) k < 4 (b) k > 4 (c) k = 4 (d) k ≥ 4
6. In which ratio the y-axis divides the line segment joining the points (5, – 6) and (–1, – 4)?. (a) 1 : 5 (b) 5 : 1 (c) 1 : 1 (d) 1 : 2
7. The value of cos1° cos2° cos3° cos4°…………..…..cos90° is (a) 1 (b) 0 (c) – 1 (d) 2
8. If the perimeter of a circle is equal to that of a square, then the ratio of their areas is (a) 22 : 7 (b) 14 : 11 (c) 7 : 22 (d) 11: 14
9. If the radii of two circles are in the ratio of 4 : 3, then their areas are in the ratio of : (a) 4 : 3 (b) 8 : 3 (c) 16 : 9 (d) 9 : 16
10. A card is selected at random from a well shuffled deck of 52 cards. The probability of its being a red face card is (a) 3/26 (b) 3/13 (c) 2/13 (d) 1/2
General Instructions: 1. This Question Paper has 5 Sections A, B, C, D, and E. 2. Section A has 20 Multiple Choice Questions (MCQs) carrying 1 mark each. 3. Section B has 5 Short Answer-I (SA-I) type questions carrying 2 marks each. 4. Section C has 6 Short Answer-II (SA-II) type questions carrying 3 marks each. 5. Section D has 4 Long Answer (LA) type questions carrying 5 marks each. 6. Section E has 3 Case Based integrated units of assessment (4 marks each) with sub-parts of the values of 1, 1 and 2 marks each respectively. 7. All Questions are compulsory. However, an internal choice in 2 Qs of 2 marks, 2 Qs of 3 marks and 2 Questions of 5 marks has been provided. An internal choice has been provided in the 2 marks questions of Section E. 8. Draw neat figures wherever required. Take π =22/7 wherever required if not stated.
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