CAT 2006 : Actual Questions - Videos

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1. Which among 21/2, 31/3, 41/4, 61/6 and 121/12 is the largest?

2. The length, breadth, and height of a room are in the ratio 3 : 2 : 1. If the breadth and height are halved while the length is doubled, then the total area of the four walls of the room will

3. A survey was conducted of 100 people to find out whether they had read recent issues of Golmal, a monthly magazine. The summarized information regarding readership in 3 months is given below:
Only September: 18; September but not August: 23; September and July: 8;
September: 28; July: 48; July and August: 10; None of the three months: 24.

4. A semi-circle is drawn with AB as its diameter. From C, a point on AB, a line perpendicular to AB is drawn meeting the circumference of the semi-circle at D. Given that AC = 2 cm and CD = 6 cm, the area of the semi-circle (in sq. cm) will be:
5 and 6 :An airline has a certain free luggage allowance and charges for excess luggage at a fixed rate per kg. Two passengers, Raja and Praja have 60 kg of luggage between them, and are charged Rs.1200 and Rs.2400 respectively for excess luggage. Had the entire luggage belonged to one of them, the excess luggage charge would have been Rs.5400.

5. What is the weight of Praja’s luggage?

6. What is the free luggage allowance?

7. A group of 630 children is arranged in rows for a group photograph session. Each row contains three fewer children than the row in front of it. What number of rows is not possible?

8. What values of x satisfy x2/3 + x1/3 – 2 ≤ 0?

9. Consider the set S = {1, 2, 3, …, 1000}. How many arithmetic progression can be formed from the elements of S that start with 1 and end with 1000 and have at least 3 elements?

10. The number of solutions of the equation 2x + y = 40 where both x and y are positive integers and x ≤ y is:

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