Algebra-16 (CAT-2004)

If a/(b+c) = b/(c+a) = c/(a+b) = r, then r can not take any value except__

(1) 1/2      (2) -1     (3) ½ or -1       (4) -1/2 or -1

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Progressions-5 (CAT-2004)

If the sum of first 11 terms of an arithmetic progression equals that of first 19 terms, then what is the sum of first 30 terms?

(1) 0

(2) -1

(3) 1

(4) None of these

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Arithmetic-15 (CAT-2004)

Karan and Arjun run a 100-meter race, where Karan beats Arjun by 10 meters. To do a favour to Arjun, Karan starts 10 meters behind the starting line in a second 100-meter race. They both run at their earlier speeds. Which of the following is true in connection with the second race?

(1) Karan and Arjun reach the finishing line simultaneously

(2) Arjun beats Karan by 1 meter

(3) Arjun beats Karan by 11 meters

(4) Karan beats by Arjun 1 meter

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Arithmetic-14 (CAT-2004)

A milkman mixes 20 litres of water with 80 litres of milk. After selling 1/4^th of this mixture, he adds water to replenish the quantity that he has sold. What is the current proportion of water to milk?

(1) 2:3

(2) 1:3  

(3) 1:2  

(4) 3:4

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