# CAT 2005 EXAM SOLVED PAPER

Jun 21st, 2015
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Note: Questions 1 to 10 carry one mark each. Directions for questions 1 to 8: Answer the questions independently of each other. 1. If R  3065 – 2965 , then 3064  2964 (1) 0  R ≤ 0.1 (2) 0.1  R ≤ 0.5 (3) 0.5  R ≤ 10. (4) R > 1.0 2. What is the distance in cm between two parallel chords of lengths 32 cm and 24 cm in a circle of radius 20 cm? (1) 1 or 7 (2) 2 or 14 (3) 3 or 21 (4) 4 or 28 3. For which value of k does the following pair of equations yield a unique solution for x such that the solution is positive? x2 – y2 = 0 (x – k)2 + y2 = 1 (1) 2 (2) 0 (3) 2 (4) – 2 4. If x = (163 + 173 + 183 + 193), then x divided by 70 leaves a remainder of: (1) 0 (2) 1 (3) 69 (4) 35

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M A N A G E M E N T .CAT 2005 EXAMSOLVED PAPERSECTIONISub-section I-ANumber of Questions: 10Note: Questions 1 to 10 carry one mark each.Directions for questions 1 to 8: Answer the questionsindependently of each other.1.If R =3065 2965, then3064 + 2964(1)0 < R 0.1(2) 0.1 < R 0.5(3)0.5 < R 10.(4) R > 1.02.What is the distance in cm between two parallel chords oflengths 32 cm and 24 cm in a circle of radius 20 cm?(1)1 or 7(2) 2 or 14(3)3 or 21(4) 4 or 283. For which value of k does the following pair of equations yielda unique solution for x such that the solution is positive?x2 y2 = 0(x k)2 + y2 = 1(1) 2(2)0(3)2(4)24. If x = (163 + 173 + 183 + 193), then x divided by 70 leaves aremainder of:(1) 0(2) 1(3)69(4) 355. A chemical plant has four tanks (A, B, C and D), each containing 1000 litres of a chemical. The chemical is being pumped from one tank to another as follows:From A to B @ 20 litres/minute From C to A @ 90 litres/minuteFrom A to D @ 10 litres/minuteFrom C to D @ 50 litres/minute From B to C @ 100 litres/minuteFrom D to B @ 110 litres/minuteWhich tank gets emptied first, and how long does it take (in minutes)to get empty after pumping starts?(1)A, 16.66(2) C, 20(3)D, 20(4) D, 256. Two identical circles intersect so that their centres, and the points at which they intersect, form a square of side 1 cm. The area in sq cm of the p

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