#1
July 4th, 2014, 10:26 AM
 
 
CAT Model questions papers
I am looking for the CAT Model questions paper, will you please provide me the same??

#2
July 5th, 2014, 09:05 AM
 
 
Re: CAT Model questions papers
This is the CAT Model questions paper: 1. Consider the set 2,3, 4........2 1 , S n where m is n positive integer than 2007. Define X as the average of the odd integers in S and Y as the average of the even integers in S. What is the value of X – Y? a. 0 b. 1 c. 1 2 n d. 1 2 n n e. 2008 2. Ten years ago, the ages of the members of a joint family of eight people added up to 231 years. Three years later, one member died at the age of 60 years and a child was born during the same year. After another three years, one more member died, again at 60, and a child was born during the same year. The current average age of this eightmember joint family is nearest to: a. 23 years b. 22 years c. 21 years d. 25 years e. 24 years 3. A function f(x) satisfies f(1) = 3600, and f(1) + f(2)+ ……+f(n) = n2f(n), for all positive integers n > 1. what is the value of f(9)? a. 80 b. 240 c. 200 d. 100 e. 120 4. Suppose you have a currency, named Miso, in three denominations: 1 Miso, 10 Misos and 50 Misos. In how many ways can you pay a bill of 107 Misos? a. 17 b. 16 c. 18 d. 15 e. 19 5. A confused bank teller transposed the rupees and paise when he cashed a cheque for Shailaja, giving her rupees instead of paise and paise instead of rupees. After buying a toffee for 50 paise, Shailaja noticed that she was left with exactly three times as much as the amount on the cheque. Which of the following is a valid statement about the cheque amount? a. Over Rupees 7 but less than Rupees 8 b. Over Rupees 22 but less than Rupees 23 c. Over Rupees 18 but less than Rupees 19 d. Over rupees 4 but less than Rupees 5 e. Over Rupees 13 but less than Rupees 14 6. How many pairs of positive integers m, n satisfy 1 4 1 12 m n , where n is an odd integer less than 60? a. 6 b. 4 c. 7 d. 5 e. 3 Direction for questions 7 to 10: Each question is followed by two statements A and B indicate your responses based on the following directives: if the question can be answered using a alone but not using B alone. 7. The average weight of a class of 100 students is 45 kg. The class consists of two sections, I and 11, each with 50 students. The average weight, WI’ of Section I is smaller than the average weight WII’ of Section II. If the heaviest student say Deepak, of Section II is moved to Section I, and the lightest Student, say Poonam, of Section I is moved to Section II, then the average weights of the two sections are switched, i.e., the average weight of Section I becomes WII and that of Section II becomes WI. What is the weight of Poonam? A. 1.0 II I W W B. Moving Deepak from section II to I (without any more from I to II) makes the average weights of the two sections equal. a. If the question can be answered using a alone but not using B alone. b. If the question can be answered using B alone but not using A alone. c. If the question can be answered using A and B together, but not using either A or B alone. d. If the question cannot be answered even using A and B together. 8. ABC Corporation is required to maintain at least 400 Kilolitres of water at all times in its factory, in order to meet safety and regulatory requirements. ABC is considering the suitability of a spherical tank with uniform wall thickness for the purpose. The outer diameter of the tank is 10 meters. Is the tank’ capacity adequate to meet ABC’s requirements? A. The inner diameter of the tank is at least 8 meters. B. The tank weighs 30,000 kg when empty, and is made of a material with density of 3gm/cc. a. If the question can be answered using a alone but not using B alone. b. If the question can be answered using B alone but not using A alone. c. If the question can be answered using A and B together, but not using either A or B alone. d. If the question cannot be answered even using A and B together. 9. Consider integers x, y and z. What is the minimum possible value of 2 2 2 x y z ? A. 89 x y z B. Among x, y, z two are equal a. If the question can be answered using a alone but not using B alone. b. If the question can be answered using B alone but not using A alone. c. If the question can be answered using A and B together, but not using either A or B alone. d. If the question cannot be answered even using A and B together. 10. Rahim plans to draw a square JKLM with a point O on the side JK but is not successful. Why is Rahim unable to draw the square? A. The length of OM is twice that of OL. B. The length of OM is 4 cm. a. If the question can be answered using a alone but not using B alone. b. If the question can be answered using B alone but not using A alone. c. If the question can be answered using A and B together, but not using either A or B alone. d. If the question cannot be answered even using A and B together. DIRECTIONS for questions 11 to 12: Cities A and B are in different time zones. A is located 3000 km east of B. The table below describes the schedule of an airline operating nonstop flights between A and B. All the times indicated are local and on the same day. Departure Arrival City Time City Time B 8:00 am A 3.00 pm A 4:00 pm B 8:00 pm Assume that planes cruise at the same speed in both directions. However, the effective speed is influenced by a steady wind blowing from east to west at 50 km per hour. 11. What is the time difference between A and B? a. 1. hour and 30 minutes b. 2 hours c. 2 hours and 30 minutes d. 1 hour e. Cannot be determined 12. What is the plane’s cruising speed in km per hour? a. 700 b. 500 c. 600 d. 500 e. Cannot be determined DIRECTIONS for questions 13 to 14: Shabnam is considering three alternatives to invest her surplus cash for a week. She wishes to guarantee maximum returns on her investment. She has three options, each of which can be utilized fully or partially in conjunction with others. Option A: Invest in a public sector bank. It promises a return of +0.10%. Option B: Invest in mutual funds of ABC Ltd. A rise in the stock market will result in a return of +5%, while a fall will entail a return of3%. Option C: Invest in mutual funds of CBA Ltd. A rise in the stock market will result in a return of  2.5%, while a fall will entail a return of +2%. 13. The maximum guaranteed return to Shabnam is a. 0.25% b. 0.10% c. 0.20% d. 0.15% e. 0.30% 14. What strategy will maximize the guaranteed return to Shabnam? a. 100% in option A b. 36% in option B and 64% in option C c. 64% in option B and 36% in option C d. 1/3 in each of the three options e. 30% in option A, 32% in option B and 38% in option C DIRECTIONS for questions 15 and 16: Let S be the set of all pairs (i,j) where 1£I < £n and n3 4. Any two distinct members of S are called “friends” if they have one constituent of the pairs in common and “enemies” otherwise. For example, if n = 4, then S = {(1,2), (1,3), (1,4), (2,3), (2,4), (3,4)}. Here, (1,2) and (1,3) are friends, (1,2) and (2,3) are also friends, but (1,4) and (2,3) are enemies. 15. For general n, how many enemies will each member of S have? a. 3 n b. 2 1 3 2 2 n n c. 2 7 n d. 2 1 5 6 2 n n e. 2 1 7 14 2 n n 16. For general n, consider any two members of S that are friends. How many other members of S will be common friends of both these members? a. 2 1 5 8 2 n n b. 2 6 n c. 1 3 2 n n d. 2 n e. 2 1 7 16 2 n n 17. In a tournament, there are n terms 1' 2 ' .... n T T T with 5 n . Each term consists of k players 3 k , The following pairs of teams have one player in common: 1 T & 2' 2 T T & 3 1 ....... n T T & ' n T and n T & 1 T . No other pair of teams has any player in common. How many players are participating in the tournament considering all the n terms together? a. 1 n k b. 1 k n c. 2 n k d. 2 k n e. 1 1 n k 18. Consider four digit numbers for which the first two digits are equal and the last two digits are also equal. How many such numbers are perfect squares? a. 3 b. 2 c. 4 d. 0 e. 1 Directions for questions 19 to 20: Mr. David manufactures and sells a single product at a fixed price in a niche market. The selling price of each unit is Rs. 30. On the other hand, the cost, in rupees, of producing x units is 2 240 bx cx , where b and c are some constants. Mr. David noticed that doubling the daily production from 20 to 40 units increases the daily production cost by 2 66 % 3 . However, an increase in daily production from 40 to 60 units results in an increase of only 50% in the daily production cost. Assume that demand is unlimited and that Mr. David can sell as much as he can produce. His objective is to maximize the profit. 19. How many units should Mr. David produce daily? a. 130 b. 100 c. 70 d. 150 e. Cannot be determined 20. What is the maximum daily profit, in rupees, that Mr. David can realize from his business? a. 620 b. 920 c. 840 d. 760 e. Cannot be determined 21. The price of Darjeeling tea (in rupees per kilogram) is 100+0. 10n, on the nth day of 2007 (n = 1,2,3,….100) and then remains constant. On the other hand, the price of Ooty tea (in rupees per kilogram) is 89+0.15n, on the nth day of 2007 (n = 1,2….365). on which date in 2007 will be prices of these two varieties of tea be equal? a. May 21 b. April 11 c. May 20 d. April 10 e. June 30 22. Two circles with centers P and Q cut each other at two distinct points A and B. The circles have the same radii and neither P nor Q falls within the intersection of the circles. What is the smallest range that includes all possible values of the angle AQP in degrees? a. Between 0 and 90 b. Between 0 and 30 c. Between 0 and 60 d. Between 0 and 75 e. Between 0 and 45 23. A quadratic function f(x) attains a maximum of 3 at x = 1. The value of the function at x = 0 is 1. What is the value of f(x) at x = 10? a. –119 b. –159 c. –110 d. –180 e. –105 SECTIONII Directions for questions 26 to 29: Answer the following questions based on the information given below: A healthdrink company’s R&D department is trying to make various diet formulations, which can be used for certain specific purposes. It is considering a choice of 5 alternative ingredients (O, P. Q, R, and S), which can be used in different proportions in the formulations. The table below gives the composition of these ingredients. The cost per unit of each of these ingredients k O: 150, P: 50, Q: 200, R: 500. S: 100. Ingredient Composition Carbo Hydrate % Protein % Fat % Minerals % O 50 30 10 10 P 80 20 0 0 Q 10 30 50 10 S 45 50 0 5 26. For a recuperating patient, the doctor recommended a diet containing. 10% minerals and at least 30% protein. In how many different ways can we prepare this diet by mixing at least two ingredients? a. One b. Two c. Three four d. None 27. Which among the following is the formulation having the lowest cost per unit for a dieth aving 10% fat and at least 30% protein? The diet has to be formed by mixing two ingredients. a. P and Q b. P and S c. P and R d. Q and S e. R and S 28. In what proportion P, Q and S should be mixed to make a diet having at least 60% carbohydrate at the lowest per unit cost? a. 2:1:3 b. 4:1:2 c. 2:1:4 d. 3:1:2 e. 4:1:1 29. The company is planning to launch a balanced diet required for growth needs of adolescent children. This diet must contain at least 30% each of carbohydrate and protein, no more than 25% fat and at least 5% minerals. Which one of the following combinations of equally mixed ingredients is feasible? a. O and P b. R and S c. P and S d. Q and R e. O and S Remaining questions are in the attachment, download it freely from here………… 
