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CAT2005 SECTION - MATH _ CAT4MBA

# A 100 a 299 b 106 a 305 c 1 1 2 a 3 1 1 d

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Unformatted text preview: . 106 < A < 305 c. 1 1 2 < A < 3 1 1 d . 118 < A < 317 e .No t Atte mp te d 14. If a1 = 1 and an +1 - 3an + 2 = 4n for every pos itive integer n, then a1 0 0 equals a . 39 9 - 200 b . 39 9 + 200 c. 3 1 0 0 - 2 0 0 d . 31 0 0 + 200 e .No t Atte mp te d 15. Let S be the s et of five-digit num bers form ed by the digits 1, 2, 3, 4 and 5, us ing each digit exactly once s uch that exactly two odd pos itions are occupied by odd digits . What is the s um of the digits in the rightm os t pos ition of the num bers in S? a . 228 b . 216 c. 2 9 4 d . 192 e . No t Atte mp te d 16. The rightm os t non-zero digit of the num ber 302 7 2 0 is a. 1 b. 3 c. 7 d. 9 e .No t Atte mp te d 17. Four points A, B, C and D lie on a s traight line in the X-Y plane, s uch that AB = BC = CD, and the length of AB is 1 m etre. An ant at A wants to reach a s ugar particle at D. But there are ins ect repellents kept at points B and C. The ant would not go within one m etre of any ins ect repellent. The m inim um dis tance in m etres the ant m us t travers e to reach the s ugar particle is a . 3 √2 b. 1 + π c. 4 π/ 3 d. 5 e .No t Atte mp te d 18. If x ≥ y and y > 1, then the value of the expres s ion logx(x/y)+logy(y/x) can never be a . -1 b . -0 .5 c. 0 d. 1 e .No t Atte mp te...
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