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# CAT Previous Paper 2006 Online Test

 Test Name CAT Previous Paper Test Subject CAT Test Type MCQs Total Question 20 Total Marks 40 Total Time 20 Minutes Test Help For Government Jobs Admission Test MBA Admissions

Common Admission Test – CAT is a computer based test taken in India for admission purposes. The test scores of a candidate base after count score of Quantitative Ability, Verbal Ability and Reading Comprehension, Data Interpretation and Logical Reasoning test. Attempt these online practice tests formed by past papers and check your knowledge with solve important questions based on Mcqs questions and increase your CAT overall score.

## CAT

1. Consider a sequence where the nth term, tn = n/(n + 2), n = 1, 2 ........ The value of t3 x t4 x t5 x .... t53 equals:

Question 1 of 20

2. If logy X = (a. logzy) = (b. logxz) = ab, then which of the following pairs of values for (a, b)is not possible?

Question 2 of 20

3. The sum of four consecutive two-digit odd numbers, when divided by 10, becomes a perfect square. Which of the following can possibly be one of these four numbers?

Question 3 of 20

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

Question 4 of 20

5. Arun, Barun and Kiranmala start from the same place and travel in the same direction at speeds of 30, 40 and 60 km per hour respectively. Barun starts two hours after Arun. If Barun and Kiranmala overtake Arun at the same instant, how many hours after Arun did Kiranmala start?

Question 5 of 20

6. A 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 the luggage between them, and are charged Rs. 1200 and Rs. 2400 respectively excess luggage. Had the entire luggage belonged to one of them, the excess luggage charge would have been Rs. 5400.
What is the weight of Praja's luggage?

Question 6 of 20

7. A 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 the luggage between them, and are charged Rs. 1200 and Rs. 2400 respectively excess luggage. Had the entire luggage belonged to one of them, the excess luggage charge would have been Rs. 5400.
What is the free luggage allowance?

Question 7 of 20

8. A punching machine is used to punch a circular hole of diameter two units from a square sheet of aluminium of width 2 units, as shown below. The hole is punched such that the circular hole touches one corner P of the square sheet and the diameter of the hole originating at P is in line with a diagonal of the square: Find the area of the part of the circle (round punch) falling outside the square sheet.

Question 8 of 20

9. If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, the what is the value of abc/def?

Question 9 of 20

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

Question 10 of 20

11. The number of employees in Obelix Menhir Co. is a prime number and is less than 300. The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be:

Question 11 of 20

12. There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or to person 2; task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?

Question 12 of 20

13. When you reserve the digits of the number 13, the number increases by 18. How many other two-digit number increase by 18 when their digits are reserved?

Question 13 of 20

14. A punching machine is used to punch a circular hole of diameter two units from a square sheet of aluminium of width 2 units, as shown below. The hole is punched such that the circular hole touches one corner P of the square sheet and the diameter of the hole originating at P is in line with a diagonal of the square: The proportion of the sheet area the remains after punching is:

Question 14 of 20

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

Question 15 of 20

16. What are the values of x and y that satisfy both the equations?
20.7x . 3-1.25y = 8√6/27
40.3x . 90.2y = 8 . (81)1/5

Question 16 of 20

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

Question 17 of 20

18. If x = -0.5, then which of the following has the smallest value?
21/x
1/x
1/x2
2x
1/√-x

Question 18 of 20

19. 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:

Question 19 of 20

20. What values of x satisfy x2/3 + x1/3 - 2 ≤ 0?

Question 20 of 20

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