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

CAT 2008 ques. PAPER


part I

This part contains 25 ques.


1. How many integers, greater than 999 but not greater than 4000 can be formed with the digitys 0,1,2,3 and 4, if repetition of digits is allowed?

(1) 499 (2) 500 (3) 375 (4) 376 (5) 501



2. What is the number of distinct terms in the expansion of (a+b+c)20?

(1) 231 (2) 253 (3) 242 (4) 210 (5) 228



2. Neelam rides her bicycle from her house at A to her office at B, taking the shortest path. Then the number of possible shortest paths that she can select is

(1) 60 (2) 75 (3) 45 (4) 90 (5) 72


4. Neelam rides her bicycle from her house at A to her club at C, via B taking the
shortest path. Then the number of possible shortest paths that she can select is

(1) 1170 (2) 630 (3) 792 (4) 1200 (5) 936



5. Consider a right circular cone of base radius four cm and height 10 cm. A cylinder is
to be placed inside the cone with 1 of the flat surfaces resting on the base of the
cone. obtain the largest possible total surface area (in sq cm) of the cylinder.

(1) 100A/3 (2) 80A/3 (3) 120A/7 (4) 130A/9 (5) 110A/7



6. elaborate the last 2 digits of 7^2008 ?

(1) 21 (2) 61 (3) 01 (4) 41 (5) 81



7. In a triangle ABC, the lengths of the sides AB and AC equal 17.5cm and nine cm
respectively. Let D be a point on the line segment BC such that AD is
perpendicular to BC. If AD = three cm, then what is the radius (in cm) of the circle
circumscribing the triangle ABC?

(1) 17.05 (2) 27.85 (3) 22.45 (4) 32.25 (5) 26.25



8. obtain the sum H1+1/12+1/22 + H1+1/22+1/32 ………..+ H1+1/20072 + 1/20082

(1) 2008 – 1/2008 (2) 2007 – 1/2007 (3) 2007 – 1/2008
(4) 2008 -1/2007 (5) 2008 – 1/2009



9. A shop stores x kg of rice. The 1st customer buys half this amount plus half of kg
of rice. The 2nd customer buys half the remaining amount plus half a kg of rice.

Earning:   Approval pending.