Indian Institue of Management 2008 Entrance Exams Other Entrance Exams CAT - Question Paper

respectively and then added. The sum so found is a perfect square whose
square root equals the total of the 3 original integers. Which of the subsequent
best defines the minimum, say m of these 3 integers?

(1) 1=m=3 (2) 4=m=6 (3) 7=m=9 (4) 10=m=12 (5) 13=m=15



Directions for ques. 21 and 22:

Five horses, Red, white, grey, black, and spotted participated in a race. As per the rules of the race, the persons betting on the winning horse get 4 times the bet amount and those betting on the horse that came in 2nd get thrice the bet amount. Moreover, the bet amount is returned to those betting on the horse that came in third, and the rest lose the bet amount. Raju bets Rs. 3000, Rs. 2000 and Rs. 1000 on Red, White and Black horses respectively and ends up with no profit and no loss.

21. Which of the subsequent cannot be true?

(1) at lowest 2 horses finished before spotted
(2) Red finished last
(3) There were 3 horses ranging from black and spotted
(4) There were 3 horses ranging from white and red
(5) Grey came in second


22. Suppose, in addition, it is known that grey came in fourth. Then which of the
subsequent cannot be true?

(1) spotted came in first
(2) Red finished last
(3) White came in second
(4) Black came in second
(5) There was 1 horse ranging from Black and white



23. 2 circles, both of radii one cm, intersect such that the circumference of every 1
passes through the centre of the other. What is the are ( in sq cm) of the
intersecting region?

(1) A/3 - v3/4 (2) 2A/3 +v3/2 (3) 4A/3 -v3/2 (4) 4A/3 + v3/2 (5) 2A/3 -v3/2



24. Rahim plans to drive from city A to station C at the speed of 70 km per hour, to
catch a train arriving there from B. He must reach C at lowest 15 minutes before the
arrival of the train. The train leaves B, located 500 km south of A, at 8:00 am and
travels at a speed of 50 km per hour. It is known that C is located ranging from west
and northwest of B, with BC at 600 to AB. Also C is located ranging from south and
southwest of A with AC at 300 to AB. The recent time by which Rahim must leave

Earning:   Approval pending.