[Kavita]

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Can you provide me previous year question paper of CAT (Common Admission Test) for preparation of the Exam as I want to have an idea about the Exam?

[Vishal Kotkar]

The previous year question paper of CAT (Common Admission Test) for preparation of the Exam is as follows:

Quantitative Ability Directions for questions 1 to 7: Answer the questions independently of each other.

Q: 1. The total cost of 2 pencils, 5 erasers, and 7 sharpeners is Rs.30, while 3 pencils and 5 sharpeners cost Rs. 15 more than 6 erasers. By what amount (in Rs.) does the cost of 39 erasers and 1 sharpener exceed the cost of 6 pencils?

(1) 20
(2) 30
(3) It does not exceed
(4) Cannot be determined
Answer: (1)

Q: 2. If the roots of the equation (x + 1) (x + 9) + 8 = 0 are a and b, then the roots of the equation (x + a) (x + b) -8 = 0 are
(1) 1 and 9
(2) -4 and -6
(3) 4 and 6
(4) Cannot be determined
Answer: (1)

Q: 3. What is the remainder when 7 700 is divided by 100?
(1) 1
(2) 61
(3) 41
(4) 21
Answer: (1)

Q: 4. Balram, the local shoe shop owner, sells four types of footwear – Slippers (S), Canvas Shoes (C), Leather Shoes (L) and Joggers (J). The following information is known regarding the cost prices and selling prices of these four types of footwear: (i) L sells for Rs. 500 less than J, which costs Rs. 300 more than S, Which, in turn, sells for Rs.200 more than L. (ii) L costs Rs. 300 less than C, which sells for Rs. 100 more than S, which, in turn, costs Rs. less than C. If it is known that Balram never sells any item at a loss, then which of the following is true regarding the profit percentages earned by Balram on the items L, S, C and J represented by l, s, c and j
(1) l ≥ c ≥ s ≥ j
(2) c ≥ s > − l > − j
(3) l ≥ s ≥ c > − j
(4) s ≥ l > − j > − c
Answer: (3)


Q: 6. A sequence of 4 digits, when considered as a number in base 10 is four times the number it represents in base 6. What is the sum of the digits of the sequence?

(1) 7

(2) 6

(3) 9

(4) 8

Answer: (4)

Q: 7. Some friends planned to contribute equally to jointly buy a CD player. However, two of them decided to withdraw at the last minute. As a result, each of the others had to shell out one rupee more than what they had planned for. If the price (in Rs.) of the CD player is an integer between 1000 and 1100, find the number of friends who actually contributed?

(1) 21

(2) 23

(3) 44

(4) 46

Answer: (3)

Q: 8. I assigned a value for n and started the program. If the robot finally came back to O and stopped, what is the total distance that it has covered

(1) 180 m

(2) 360 m

(3) 720 m

(4) Cannot be determined

Answer: (3)

Q: 9 For how many value of n in the intervals [1, 60] does the robot cover less than 1000 m, before it stops?

(1) 19

(2) 60

(3) 355

(4) Infinite

Answer: (3)

DIRECTIONS for questions 10 to 20: Answer the questions independently of each other.

Q: 10. If N = 888…up to 100 digits, what is the remainder when N is divided by 625?

(1) 128

(2) 138

(3) 338

(4) 388

Answer: (2)

Q: 11. If [log101]+[log102]+[log104]+…+[log10n]=n where [x] denotes the greatest integer less than or equal to x, then

(1) 96≤n<104

(2) 104<−n<107

(3) 107≤n<111

(4) 111≤n<116

Answer: (3)

Q: 13. A regular polygon has an even number of sides. If the product of the length of its side and the distance between two opposite sides is ¼ th of its area, find number of sides it has

(1) 6

(2) 8

(3) 20

(4) 16

Answer: (4)

Q: 14. There are three cities A, B and C, not on the same straight road. Two buses P and Q start simultaneously from A and B respectively towards C. By the time Q reaches C, P is exactly halfway to C. Immediately after Q reaches C, it starts travelling towards A and it crosses P at a point 165 km from A. The ratio of the speeds of P and Q is 3 : 5 Assume that the roads joining A to C, B to C and B to A are all straight roads. If B is twice as far from A as it is from C and P would take to cover the distance from A to B, how much time would Q take to cover the distance from C to A?

(1) 225hours

(2) 3hours

(3) 335hours

(4) 4 hours

Answer: (1)

Q: 15. Two positive real numbers, a and b, are expressed as the sum of m positive real numbers and n positive real numbers respectively as follows:

a=s1+s2+…+smand

b=t1+t2+…+tn

If [a]=[s1][s2]+…+[sm]+4and[b]=[t1]+[t2]+…+[tn]+3,

Where [x] denotes the greatest integer less than or equal to x, what is the minimum possible value of m +n?

(1) 6

(2) 10

(3) 8

(4) 9

Answer: (4)

Q: 16. Consider two figures A and D that are defined in the co-ordinate plane. Each figure represents the graph the graph of a certain function, as defined below:

A: |x|−|y|=a

D: |y| = d

If the area enclosed by A and D is 0, which of the following is a possible value of (a,d)?

(1) (2,1)

(2) (-2, 1)

(3) (-2, 3)

(4) (2,3)

Answer: (2)

Q: 17. A natural number n is such that 120 n≤240. If HCF of n and 240 is 1, how many values of n are possible?

(1) 24

(2) 32

(3) 36

(4) 40

Answer: (2)

Q: 18. If S=210+6102+12103+20104+30105+42106+…,findthevalu eofS?

(1) 24/90

(2) 242/900

(3) 245/900

(4) 200/729

Answer: (4)

Q: 19 If the sum to infinity of the series 2 +(2-d) 2/3+ (2 + d) 4/9 + (2 + 3d) 8/27 + ……▭ is 5/2, what is the value of d?

(1) 7/12

(2) -7/12

(3) -5/12

(4) 5/12

Answer: (2)

Q: 20. The first n natural numbers, 1 to n, have to be arranged in a row from left to right. The n numbers are arranged such that there are an odd number of numbers between any two even numbers as well as between any two odd numbers. If the number of ways in which this can be done is 72, then find the value of n.

(1) 6

(2) 7

(3) 8

(4) More than 8

Answer: (1)

Q: 21. Whatmore is from which country?

(1) India

(2) Japan

(3) Canada

(4) Cannot be determined

Answer: (4)

Q: 22. Who is the person from Australia?

(1) Buchanen

(2) John

(3) Whatmore

(4) Cannot be determined

Answer: (1)

Q: 23. The person from Japan is definitely not coaching

(1) China

(2) Wales

(3) Australia

(4) More than one of the above

Answer: (2)

Q: 24. Find the number of cars of brand C sold this year, given that a total of 24 cars of brand A were sold in the previous year.

(1) 324

(2) 648

(3) 162

(4) 243

Answer: (1)

Q: 25. What is the percentage increase in the total number of cars sold this year when compared to the total number of cars sold in the previous year?

(1) 400%

(2) 600%

(3) 900%

(4) 1000%

Answer: (3)

Q: 26. In the next year, Mr. Suzuki wants to increase the total sales by 80%, compared to the total sales this year, by keeping the sales of each of A, B and C at the same level as that in this year and introducing a new brand D. By what percent will the number of cars of brand D (to be sold next year) be more than the total number of cars sold last year?

(1) 400%

(2) 600%

(3) 900%

(4) 700%

Answer: (4)

Q: 27. If total of 380 cars were sold this year, and the sales of C this year were nil, instead of 81% of total sales, then how many cars of brand A were sold in the previous year?

(1) 140

(2) 120

(3) 100

(4) 160

Answer: (2)

Q: 30. For how many of the companies, is the profit more than 40% of the sales (Profit = Sales - Expenses)?

(1) 4

(2) 5

(3) 6

(4) 7

Answer: (3)

Q: 31. For how many software companies are the sales more than Rs.2500 crore but the expenses less than Rs. 2100 crore?

(1) 2

(2) 3

(3) 4

(4) 6

Answer: (2)

Q: 32. What could be the size of the team that includes G?

(1) 4

(2) 5

(3) 6

(4) More than one of the above

Answer: (4)

Q: 33. What would be the size of the largest possible team?

(1) 4

(2) 5

(3) 6

(4) 7

Answer: (3)

Q: 34. Who cannot be included in a team of size 6?

(1) A

(2) H

(3) J

(4) E

Answer: (2)

Q: 35. What can be the size of the team that includes C?

(1) 3

(2) 4

(3) 5

(4) More than one of the above

Answer: (2)