# CAT 2005 EXAM SOLVED PAPER

**Tutor description**

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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