CAT2005 SECTION - MATH _ CAT4MBA

What is the ratio of the perim eter of the triangle

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Unformatted text preview: d ÐBCD = ÐBAC. What is the ratio of the perim eter of the triangle ADC to that of the triangle BDC? a . 7 /9 b . 8 /9 c. 6 /9 d . 5 /9 e .No t Atte mp te d 24. P, Q, S, and R are points on the circum ference of a circle of radius r, s uch that PQR is an equilateral triangle and PS is a diam eter of the circle. What is the perim eter of the quadrilateral PQSR? a . 2 r(1 +√ 3 ) b . 2 r(2 +√ 3 ) c. r(1 +√ 5 ) d . 2 r+√ 3 ) e .No t Atte mp te d 25. Let S be a s et of pos itive integers s uch that every elem ent n of S s atis fies the conditions a) 1000 = n = 1200 b) every digit in n is odd Then how m any elem ents of S are divis ible by 3? a. 9 b . 10 c. 1 1 d . 12 e .No t Atte mp te d 26. Let . Then x equals a. 3 b . (√1 3 -1 )/2 c. (√1 3 +1 )/2 d . √1 3 e .No t Atte mp te d 27. Let g(x) be a function s uch that g(x + l) + g(x - l) = g(x) for every real x. Then for what value of p is the relation g(x + p) = g(x) neces s arily true for every real x? a. 5 b. 3 c. 2 d. 6 e .No t Atte mp te d 28. A telecom s ervice provider engages m ale and fem ale operators for ans wering 1000 calls per day. A m ale operator can handle 40 calls per day whereas a fem ale operator can handle 50 calls per day. The m ale and the fem ale operators get a fixed wage of Rs .250 an...
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