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Page 1Proctored Mock CAT 3MBA Test PrepMBA Test PrepDirections for questions 1 to 3: Answer the questions on the basis of the information given below.In the data given below, Table - 1 indicates the number of fruit bearing trees planted by six friends on threedays - Day1, Day 2 and Day 3. Table - 2 shows the number of trees of each of the six types planted onthese three days. The following conditions must be valid: On any given day, each of them planted only one type of tree. From among Ashish, Dinesh and Farhan exactly two people planted the same type of tree(s) on Day2 and Day 3 as they planted on Day 1. The person who planted exactly one Orange tree on Day 3 had also planted Orange trees on each ofthe first two days. Dinesh did not plant a Banana tree on Day 2.Name Day 1 Day 2 Day 3Ashish 4 4 1Bobby 2 1 2Chetan 2 1 4Dinesh 1 1 1Ekant 2 1 1Farhan 2 2 1 Tree Day 1 Day 2 Day 3Apple 2 0 0Banana 2 2 0Coconut 4 4 1Guava 2 2 1Mango 1 1 1Orange 2 1 7 Table - 1 Table - 21. Who planted Orange trees on all the three days?(a) Dinesh (b) Ekant (c) Ekant or Farhan (d) Dinesh or Ekant2. For how many friends can the number of trees planted of each type be conclusively determined?(a) 3 (b) 4 (c) 5 (d) None of these3. What can be the maximum number of Guava trees planted by Farhan in all the three days collectively?(a) 1 (b) 3 (c) 5 (d) None of these4. Four friends Himanshu, Mubashir, Saral and Abhishek go out for shopping. They have Rs 300,Rs 500, Rs. 700 and Rs. 900 not necessarily in the same order. Abhishek has an amount greaterthan twice the amount with Himanshu. Saral has an amount less than the sum of the amounts withHimanshu and Mubashir. Which of the following is definitely true?(a) The absolute difference in the amounts with Saral and Abhishek is equal to the absolute differencein the amounts with Mubashir and Himanshu.(b) The sum of the amounts with Saral and Mubashir is equal to the sum of the amounts withAbhishek and Himanshu.(c) The absolute difference in the amounts with Saral and Himanshu is equal to the absolute differencein the amounts with Abhishek and Mubashir.(d) The absolute difference in the amounts with Saral and Mubashir is equal to the absolute differencein the amounts with Abhishek and Himanshu.Page 2Proctored Mock CAT 3MBA Test PrepMBA Test Prep5. Five men are sitting around a circular table in such a way that all of them can see each other. Eachof these five men is wearing a hat the colour of which is not known to him. However, all of them areaware that the hats have to be either black or white in colour and there are at least two hats of eachcolour. How many of them can deduce the colour of their hats if they are not allowed to communicatewith each other?(a) 1 (b) 2 (c) 3 (d) 46. The question given below is followed by two statements, A and B. Mark the answer using thefollowing instructions:Mark (a) if the question can be answered by using Statement A alone, but cannot be answered byusing Statement B alone.Mark (b) if the question can be answered by using Statement B alone, but cannot be answered byusing Statement A alone.Mark (c) if the question cannot be answered even by using both the statements together.Mark (d) if the question can be answered by using either statement alone.Q. A man has 57 pens. He wants to distribute these pens among his 3 sons such that his eldest sonreceives the highest number of pens. What will be the number of pens received by the eldest son?A. The number of pens received by the sons are in Arithmetic Progression.B. The number of pens received by the sons are in Geometric Progression.Directions for questions 7 to 9: Answer the questions on the basis of the information given below.Alok, Bharti, Chaman, Dinu, Ekant and Faisal are the only people available for selection in a team. Theteam should have at least two people subject to the following conditions. If Bharti is selected then Dinu should also be selected while Ekant should be rejected. If Alok is selected then exactly one from Bharti and Chaman should also be selected. If Chaman is selected then Ekant should also be selected while Faisal should be rejected. If the size of the team is less than 4 then Dinu and Faisal cannot be selected together.7. If Bharti and Faisal are not selected in the team then who should definitely be selected?(a) Chaman (b) Ekant(c) Dinu (d) Alok8. Which of the following pairs of two people cannot be selected along with any one else out of theremaining 4 people?(a) Bharti and Dinu (b) Chaman and Ekant(c) Dinu and Ekant (d) Ekant and Faisal9. If the team selected is of the maximum possible size, then who is/are definitely selected in theteam?(a) Alok (b) Dinu (c) Bharti (d) Both Alok and DinuPage 3Proctored Mock CAT 3MBA Test PrepMBA Test Prep10. The question given below is followed by two statements, A and B. Mark the answer using thefollowing instructions:Mark (a) if the question can be answered by using one of the statements alone, but cannot beanswered by using the other statement alone.Mark (b) if the question can be answered by using both the statements together, but cannot beanswered by using either statement alone.Mark (c) if the question can be answered by using either statement alone.Mark (d) if the question cannot be answered even by using both the statements together.Q. When three times of the units digit of a number is subtracted from the number, 28 is obtained.What is the number?A. The digit at the tens place is greater than the digit at the units place.B. The digit at the tens place is less than the digit at the units place.Directions for questions 11 to 13: Answer the questions on the basis of the information given below.A class of 1000 students, comprising boys and girls, is divided into three sections, named as A, B andC. The ratio of boys to girls in the class is 9 : 11. The following table shows the percentage of boys andgirls in each of the sections.Section Boys(%) Girls(%) A 60 B 40 C p q 11. Based on the above information, which of the following is true?(a) p = q (b) p < q (c) p > q (d) Data Insufficient12. If the number of students in section C is 600, then what is the value of 3q + 2p?(a) 265 (b) 235 (c) 225 (d) Data Insufficient13. If the ratio of the number of students in Section A : Section B : Section C is 1 : 3 : 6, then what is theratio of the number of girls in Section C : Section B : Section A?(a) 7 : 6 : 2 (b) 4 : 12 : 39 (c) 78 : 24 : 8 (d) None of these14. P, Q, R, S and T were the five participants in a race. Before the race, there were five predictionsmade for the final positions. The predictions were:(1) TRQPS(2) SPTRQ(3) SRQPT(4) QSPTR(5) SRQTPThe leftmost means the first position and the rightmost means the fifth position in any sequence.No prediction was completely correct. But two of them correctly predicted the position of exactlytwo of the runners. The remaining three predictions were incorrect for all the five participants. Whatwas the actual outcome of the race?(a) QPSTR (b) QPTSR (c) QTPSR (d) QPTRSPage 4Proctored Mock CAT 3MBA Test PrepMBA Test Prep15. In a family of seven people A, B, C, D, E, F and G there is exactly one pair of twins. B is youngerthan F but older than E, G and D. C is younger than E but older than A and D. G is younger thanF and E. Which of the following can be the pair of twins?(a) B, C (b) A, E (c) C, G (d) F, GDirections for questions 16 to 18: Answer the questions on the basis of the information given below.The following tables show the sales of five motorbike companies T.V.S., Bajaj, Kinetic, Honda and HeroHonda across various grades in India.Table - 1 gives the percentage breakup of the sales of the different grades of motorbikes across thedifferent companies.Table - 2 gives the percentage breakup of the sales of motorbikes of the various companies across thedifferent grades.A B C D ET.V.S. 18 24 15 32 12Bajaj 16 24 10 16 8Kinetic 24 16 32 24 28Honda 36 20 35 24 48Hero Honda 6 16 8 4 4100 100 100 100 100GradeCompany Table - 1T.V.S. Bajaj Kinetic Honda Hero HondaA 15 20 15 18 15B 10 15 5 5 20C 25 25 40 35 40D 40 30 22.5 18 15E 10 10 17.5 24 10100 100 100 100 100CompanyGrade Table - 216. What is the ratio of motorbikes sold across the different grades in the order A, B, C, D and E?(a) 2 : 1 : 4 : 3 : 2 (b) 2 : 1 : 3 : 2 : 4 (c) 2 : 3 : 4 : 1 : 2 (d) 2 : 4 : 1 : 3 : 117. What is the number of motorbikes sold in Grade B by Hero Honda?(a) 150 (b) 200 (c) 240 (d) Cannot be determined18. In which grade is the total number of motorbikes sold equal to the total number of motorbikes soldby one of the given companies?(a) A (b) C (c) E (d) DPage 5Proctored Mock CAT 3MBA Test PrepMBA Test Prep19. There are 49 0s, 51 1s and 53 2s written on the board randomly. Bikash is blindfolded and thenasked by his teacher to touch any two numbers on the board arbitrarily. The teacher deleted thosetwo numbers and replaced them by a single number in the following manner:If the pair is Replaced by(0, 0) 0(1, 1) 0(2, 2) 2(1, 2) 1(0, 1) 1(0, 2) 0If they continued this process what was the number left on the board in the end?(a) 0 (b) 1 (c) 2 (d) Cannot be determined20. The question given below is followed by two statements, A and B. Mark the answer using thefollowing instructions:Mark (a) if the question can be answered by using either statement alone.Mark (b) if the question can be answered by using one of the statements alone, but cannot beanswered by using the other statement alone.Mark (c) if the question cannot be answered even by using both the statements together.Mark (d) if the question can be answered by using both the statements together, but cannot beanswered by using either statement alone.Q. Two friends, Mubashir and Himanshu, are standing in