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CAT2005 SECTION - MATH _ CAT4MBA

# What is the dis tance in cm between two parallel

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Unformatted text preview: between two parallel chords of lengths 32 cm and 24 cm in a circle of radius 20 cm ? ra h u l n e m a re fre sh a. 1 or 7 b . 2 o r 14 c. 3 o r 2 1 d . 4 o r 28 e .No t Atte mp te d 10. For which value of k does the following pair of equations yield a unique s olution for x s uch that the s olution is pos itive? x2 - y2 = 0 (x - k)2 + y2 = 1 a. 2 b. 0 c. √2 d . -√2 e .No t Atte mp te d SECTION I Sub-Se ction I-B Number of Questions : 20 Note: Questions 11 to 30 carry tw o marks each. Directions for Questions 11 to 30: Ans wer the ques tions independently of each other. 11. Let n! = 1 x 2 x 3 x ... x n for integer n π 1. If p = 1! (2 x 2!) + (3 x 3!) + . . . + (10 x 10!), then p + 2 when divided by 11! leaves a rem ainder of a . 10 b. 0 c. 7 d. 1 e .No t Atte mp te d 12. Cons ider a triangle drawn on the X-Y plane with its three vertices at (41, 0), (0, 41) and (0, 0), each vertex being repres ented by its (X, Y) coordinates . The num ber of points with integer coordinates ins ide the triangle (excluding all the points on the boundary) is a . 780 b . 800 c. 8 2 0 d . 741 e .No t Atte mp te d 13. The digits of a three-digit num ber A are written in the revers e order to form another three-digit num ber B. If B > A and B-A is perfectly divis ible by 7, then which of the following is neces s arily true? a . 100 < A < 299 b...
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