IBPS - RRBs RECRUITMENT IBPS OFFICERS PRELIMS MODEL PAPER No. of Questions: 80 Maximum Marks: 80 Time: 45 Mts.

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1 IBPS - RRBs RECRUITMENT IBPS OFFICERS PRELIMS MODEL PAPER No. of Questions: 80 Maximum Marks: 80 Time: 45 Mts. REASONING ABILITY Directions (1-5): In each of the following questions, relationship between different elements is shown in the statements. The statements are followed by two Conclusions numbered I and II. Study the Conclusions based on the given statements and mark the appropriate answer: Give answer 1) If both the Conclusion I and Conclusion II are true 2) If either Conclusion I or Conclusion II is true 3) If neither Conclusion I nor Conclusion II is true 4) If only Conclusion I is true 5) If only Conclusion II is true 1. Statements: A R N = G T> S (2-3): Conclusions: I. A < S II. A = S Statements: C > R E = T; R < Y; U E 2. Conclusions: I. C > Y II. U Y 3. Conclusions: I. U R II. T U (4-5): Statements: P R = B S; C B > Z 4. Conclusions: I. Z = P II. S Z 5. Conclusions: I. C < S II. C = S Directions (6-7): These questions are based on the position of English alphabets. 6. Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to the group? 1) LOJ 2) FID 3) RUP 4) ILN 5) CFA 7. Which of the following will be the next letter in the following letter series? B C E H L? 1) Q 2) P 3) O 4) Cannot be determined Directions (8-10): Study the following information to answer the given questions. A building has seven floors numbered one to seven, in such a way that the ground floor is numbered one, the floor above it, number two and so on such that the topmost floor is numbered seven. One out of seven people viz. A, B, C, D, E, F and G lives on each floor. A lives on fourth floor. E lives on the floor R-14,15,16,

2 immediately below F's floor. F does not live on the second or the seventh floor. C does not live on an odd numbered floor. B does not live on a floor immediately above or below C's floor. D does not live on the top - most floor. G does not live on any floor below E's floor. 8. Who lives on the topmost floor? 1) B 2) C 3) E 4) G 5) Cannot be determined 9. Who lives immediately above D's floor? 1) A 2) B 3) C 4) F 5) G 10. Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group? 1) F 2) D 3) B 4) G 5) C Directions (11-15): Study the following information to answer the given questions. In a Group of 5, each person has an exclusive and different preference (has/ likes) for a pen, a watch and a car. Pen preferences are Parker, Lamy, Pointer, Lexi and Cello. Car preferences are WagonR, Swift, Santro, Mica and City. Watch preferences are Timex, Titan, Fastrack, Samay and Citizen. Suman has Mica and Parker but does not prefer among watches - Titan or Fastrack. The one who has Swift, likes Fastrack. Mrudula has preference for City, Cello and Citizen. Amit has preference for Lamy and Timex. Veena prefers WagonR and Lexi. Harsh's preference for a watch is not Titan. 11. Which watch is Suman's preference? 1) Titan 2) Fastrack 3) Samay 4) Cannot be determined 12. Which pen is Harsh's preference? 1) Lamy 2) Pointer 3) Lexi 4) Cannot be determined 13. Which watch is Harsh's preference? 1) Samay 2) Fastrack 3) Timex 4) Cannot be determined 14. Who's preference is Swift? 1) Harsh 2) Amit 3) Veena 4) Cannot be determined 15. Which watch is Veena's preference? 1) Samay 2) Fastrack 3) Titan 4) Cannot be determined

3 Directions (16-18): In each question below is given a statement followed by two assumptions numbered I and II. An assumption is something supposed or taken for granted. You have to consider the statement and the following assumptions and decide which of the assumptions is implicit in the statement. Give answer 1) If only assumption I is implicit. 2) If only assumption II is implicit. 3) If either assumption I or II is implicit. 4) If neither assumption I nor II is implicit. 5) If both assumptions I and II are implicit. 16. Statement: Please send an official letter rather than semiofficial on this subject this time. Assumptions: I. The format and emphasis of different types of letters is different. II. We can send different types of letters on the same subject. 17. Statement: Please check the availability of 2 tickets from Delhi to Lucknow. Assumptions: I. Person checking knows the desired mode of travel. II. Person checking knows the details of the person travelling. 18. Statement: If you want to increase your writing speed, use 0.7 pen. Assumptions: I. There are different types of pens available. II. The person being told understands what is 0.7 pen. Directions (19-20): Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and Give answer 1) If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question. 2) If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question. 3) If the data either in statement I alone or in statement II alone is sufficient to answer the question. 4) If the data in both the statements I and II together are not sufficient to answer the question. 5) If the data in both the statements I and II together are necessary to answer the question. 19. On which day was Yasir born? (His date of birth is February 29) I. He was born between year 2005 and II. He will complete 4 years on February 29, Out of 64 students, 38 play both chess and cricket. How many students play only chess? I. Out of 64 students, 22 students don't play any game. 4 students play only cricket. II. Out of 64 students, 20 are girls and 10 of them don't play any game.

4 Directions (21-25): Study the following information carefully and answer the questions given below. Nine persons P, Q, R, S, T, U, V, W and X - are seated in a straight line facing north but not necessarily in the same order. T sits fourth to the left of W. Neither T nor W sits at the extreme ends of the line. Only one person sits between X and R. Neither X nor R is an immediate neighbour of W. P sits second to the right of X. Only two persons sit between P and S. Q is not an immediate neighbour of S or P. V is not an immediate neighbour of X. 21. What is the position of V with respect to Q? 1) Fifth to the right 2) Immediate neighbour 3) Second to the right 4) Third to the right 5) Other than those given as options 22. Which of the following represents persons seated at two extreme ends of the line? 1) S, R 2) Q, S 3) R, P 4) X, Q 5) V, X 23. How many persons are seated between R and P? 1) One 2) Two 3) Three 4) Four 5) None 24. If T is related to V and Q is related to P in a certain way, to which of the following would X be related to following the same pattern? 1) Q 2) T 3) R 4) S 5) W 25. Who amongst the following sits exactly in the middle of the persons who sits seventh from the left and the person who sits sixth from the right? 1) P 2) Q 3) T 4) S 5) V Directions (26-30): Study the following information carefully and answer the questions given below. Seven persons namely, M, N, O, P, Q, R and S attended seminars in seven different cities viz, London, Paris, Bangkok, New York, Madrid, Tokyo and Seoul on seven different days of the same week starting from Monday to Sunday, but not necessarily in the same order. S attended Seminar on Wednesday. Only one person attended Seminar between S and the person who attended Seminar in Seoul. Only three persons attended Seminars between R and the person who attended Seminar in Seoul. Only one person attended Seminar between Q and the person who attended Seminar in Seoul. O attended Seminar immediately before P. Only two persons attended Seminars between P and the person who attended Seminar in Bangkok. M did not attend Seminar on Saturday. M attended Seminar immediately before the person who attended Seminar in Tokyo. N attended Seminar immediately before the person who attended Seminar in London. O did not attend Seminar in New York. N attended Seminar in Madrid but not on Monday. 26. Four of the following five are alike in a certain way as per the given arrangement and hence form a group. Which is the one that does not belong to that group? 1) O Wednesday 2) N Friday 3) M Thursday 4) Q Saturday 5) S Tuesday

5 27. Which of the following represents the day on which N attended a Seminar? 1) Saturday 2) Sunday 3) Thursday 4) Tuesday 5) Other than those given as options 28. Who amongst the following attended Seminar in Seoul? 1) M 2) O 3) Either M or P 4) P 5) Cannot be determined 29. Which of the following combinations of Day - Person - City is definitely true? 1) Monday Q Bangkok 2) Friday M London 3) Saturday R Tokyo 4) Tuesday N Madrid 5) Thursday O Paris 30. Which of the following statements is true as per the given arrangement? 1) The one who attended Seminar in New York attended on Tuesday. 2) N attended Seminar on Saturday immediately after P. 3) M attended Seminar exactly between S and O 4) P attended Seminar on Tuesday in Paris 5) None of the given statements is true Directions (Q.31-35): Below is given a passage followed by several possible inferences which can be drawn from the facts stated in the passage. You have to examine each inference separately in the context of the passage and decide upon its degree of truth or falsity. Mark answer 1) If the inference is "definitely true" i.e. it properly follows from the statement of facts given. 2) If the inference is "probably true" though not "definitely true" in the light of the facts given. 3) If the data are inadequate i.e. from the facts given you cannot say whether the inference is likely to be true or false. 4) If the inference is "probably false" though not "definitely false" in the light of the facts given. 5) If the inference is "definitely false" i.e. it cannot possibly be drawn from the facts Note: Each of the five questions has only one distinct answer i.e. no two questions can have the same answer. If you get same answer for more than one question, consider both again and decide which one of the two would more definitely be that answer and same way review other also. The first time I saw The Wizard of Oz, the story be witched me the second time I saw The Wizard of Oz, the special effects amazed me. The third time I saw The Wizard of Oz, the photography dazzled me. Have you ever seen a movie twice, three times? You notice subtleties and hear sounds you completely missed the first time around. It's the same on the phone. Because your business conversations are more consequential than movies, you should listen to them two, may be three times. Often we have no clear idea of what really happened in our phone conversation until we hear it again. You'll find shadings more significant than the colour of Toto's collar - and more scarecrows than you imagined who 'haven't got a brain!' How do you listen to your important business conversations again? Simply legally and ethically tape record them. I call the technique of recording and analyzing your business conversations for subtleties Instant Replay. 31. The movie The Wizard of Oz' will help improve business conversation. 32. For most, if they watch a movie more than once, different aspects in different order, like special effects, photography, story, music etc. would impress in a better way.

6 33. The tips are given for understanding business conversation. 34. The advice is being given to the sales team. 35. The author watches most movies more than twice. Directions (Q.36-40): In each of the questions/ set of questions below are given two statements followed by two conclusions numbered I and II. You have to assume everything in the statements to be true even if they seem to be at variance from commonly known facts and then decide which of the two given conclusions logically follows from the information given in the statement. Give answer 1) If only conclusion I follows. 2) If only conclusion II follows. 3) If either conclusion I or conclusion II follows. 4) If neither conclusion I nor conclusion II follows. 5) If both conclusions I and II follow. 36. Statements: Some pins are clips. Some clips are pens. Conclusions: I. Some pins are pens. II. No pin is a pen. (Q.37-39): Statements: All D's are A's. All A's are C's. 37. Conclusions: I. Some C's are D's. II. Some A's are D's. 38. Conclusions: I. All D's are C's. II. Some D's are not A's. 39. Conclusions: I. All A's are D's. II. All C's are A's. 40. Statements: All doors are windows. Some windows are clips. Conclusions: I. Some clips are doors. II. Some windows are doors. QUANTITATIVE APTITUDE men can complete a piece of work in 20 days. 8 women can complete the same work in 32 days. In how many days will 5 men and 8 women together complete the same work? 1) 16 days 2) 12 days 3) 14 days 4) 10 days 42. The area of a square is 1024 sq. cm. What is the respective ratio between the length and the breadth of a rectangle whose length is twice the side of the square and breadth is 12 cm. less than the side of the square? 1) 5 : 18 2) 16 : 7 3) 14 : 5 4) 32 : 5

7 43. The sum of five consecutive even numbers of set-a is 220. What is the sum of a different set of five consecutive numbers whose second lowest number is 37 less than double of the lowest number of set-a? 1) 223 2) 225 3) 235 4) The bus fare for one person is Rs. 420 from Agra to Aligarh and train fare between the same places for one person is equal to three fourth the bus fare for two persons between the same places. What is the total fare paid by 2 persons travelling by bus and 4 persons travelling by train between the two places? 1) Rs. 3,360 2) Rs. 3,460 3) Rs. 3,440 4) Rs. 3, The respective ratio between the speeds of a car, a jeep and tractor is 3 : 5 : 2. The speed of the jeep is 250 percent of the speed of the tractor which covers 360 km in 12 hours. What is the average speed of car and jeep together? 1) 60 km/hr. 2) 75 km/hr. 3) 40 km/hr. 4) Cannot be determined Directions (Q.46-50): Study the following bar - graph carefully and answer the following questions. Earnings (in rupees) of three different persons on four different days 46. What is Gita's average earnings over all the days together? 1) Rs.285 2) Rs.290 3) Rs.320 4) Rs.310 5) Rs What is the total amount earned by Rahul and Naveen together on Tuesday and Thursday together? 1) Rs.1,040 2) Rs.1,020 3) Rs.980 4) Rs.940 5) Rs Gita donated her earnings of Wednesday to Naveen. What was Naveen's total earnings on Wednesday after Gita's donation? 1) Rs.520 2) Rs.550 3) Rs.540 4) Rs.560 5) Rs What is the difference between Rahul's earnings on Monday and Gita's earnings on Tuesday? 1) Rs.40 2) Rs.20 3) Rs.50 4) Rs.30 5) Rs.10

8 50. What is the respective ratio between Naveen's earnings on Monday, Wednesday and Thursday? 1) 7 : 3 : 5 2) 8 : 6 : 5 3) 8 : 7 : 4 4) 9 : 5 : 4 5) 9 : 3 : 4 Directions (Q.51-55): Study the following table carefully to answer the questions that follow. Monthly Rent (in Rs. thousands) at five different places in six different years 51. In which place the monthly rent did not increase consistently from year 2005 to 2010? 1) Churchgate 2) Dadar 3) Kandivali 4) Borivali 5) Virar 52. In which year at Churchgate, the monthly rent increased more than percent from the previous year? 1) ) ) ) ) What was the difference between the monthly rent at Dadar in the year 2009 and Borivali in the year 2007? 1) Rs.7,600 2) Rs.7,900 3) Rs.8, 4) Rs.8, Monthly rent at Kandivali in the year 2008 was approximately what percent of the total monthly rent at Virar over all the years together? 1) 30 2) 33 3) 38 4) 42 5) Which city was most expensive in terms of rent? 1) Churchgate 2) Dadar 3) Kandivali 4) Borivali 5) Virar Directions (Q.56-60): In the following questions two equations numbered I and II are given. You have to solve both the equations and - Give answer 1) If x > y 2) If x y 3) If x < y 4) If x y 5) If x = y or the relationship cannot be established 56. I. 5x 2 18x + 9 = 0 II. 20y 2 13y + 2 = 0. Place Years Churchgate Dadar Kandivali Borivali Virar

9 57. I. x = 453 II. y 2 82 = I. + = x x x (7) 7/2 II. y 3 = 0 y 59. I. 9x = x II. y = I. x x + 30 = 0 II. y 2 + 7y + 12 = 0 Directions (Q.61-65): What will come in place of the question mark (?) in the following number series? (?) 1) 420 2) 410 3) 310 4) (?) 1) 138 2) 77 3) 177 4) (?) 1) 212 2) 202 3) 301 4) (?) 1) 103 2) 112 3) 120 4) (?) 1) 788 2) 715 3) 734 4) 755 Directions (Q.66-70): Study the following information carefully to answer the given questions. In a college, there were 700 students in The college offers Engineering in five specializations - Computer Science, Civil, Electrical, Mechanical and Biotechnology. Out of the total number of male students in the college, 30% study Computer Science, 15% study Civil, 18% study Electrical, 12% study Mechanical and the remaining students study Biotechnology. Out of the total number of female students in the college, 35% study Computer Science, 5% study Civil, 20% study Electrical and 15% Study Mechanical. There are 75 female students in Biotechnology. 66. The number of male students in Biotechnology is what percent more than the number of female students studying in the same course? ) 35 2) 37 3) 33 4) ) 34 6

10 67. What is the respective ratio between the male students in Computer Science and the number of female students studying in the same course? 1) 15 : 8 2) 13 : 9 3) 8 : 7 4) 10 : 9 5) 4 : What is the difference between the total number of female students in Electrical and Mechanical together and total number of males studying in the same courses together? 1) 12 2) 19 3) 15 4) 11 5) The total number of male students in Civil and Computer Science together is what percent of the total number of students (male and female) studying in these two courses together? 1) 66 2) ) 64 4) 65 5) What is the average number of students (male and female) in Mechanical and Bio - technology? 1) 132 2) 124 3) 134 4) 128 5) 138 Directions (Q.71-75): What approximate value will come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.) =? 1) 1 2) ) 0 4) ) % of =? 1) 375 2) 400 3) 350 4) 425 5) =? 1) 650 2) 700 3) 950 4) 850 5) =? 1) 50 2) 90 3) 40 4) 20 5) =? ) 140 2) 120 3) 60 4) 80 5) A man sold a wristwatch for Rs.2,400 at a loss of twenty five percent. At what rate should he have sold the wrist - watch to earn a profit of twenty five percent? 1) Rs.3,600 2) Rs.4,000 3) Rs.3,500 4) Rs.3,800

11 77. The average of five numbers is 56. If the average of first four numbers is 54, what is the value of the fifth number? 1) 68 2) 72 3) 56 4) If a number is added to seven - ninth of thirty five percent of 900, the value so obtained is 325. What is the number? 1) 60 2) 120 3) 90 4) The ratio between the three angles of a quadrilateral is 1 : 4 : 5 respectively. The value of the fourth angle of the quadrilateral is 60. What is the difference between the value of the largest and the smallest angles of the quadrilateral? 1) 120 2) 90 3) 110 4) 80. What least number should be subtracted from 1740, so that it will be completely divisible by 88? 1) 156 2) 68 3) 58 4) 146 KEY 1-3; 2-3; 3-1; 4-3; 5-2 ; 6-4; 7-1; 8-4; 9-3; 10-5; 11-3; 12-2; 13-2; 14-1; 15-3; 16-5; 17-1; 18-5; 19-3; 20-1; 21-5; 22-2; 23-3; 24-4; 25-1; 26-3; 27-1; 28-4; 29-5; 30-2; 31-5; 32-4; 33-1; 34-2; 35-3; 36-3; 37-5; 38-1; 39-4; 40-2; 41-1; 42-5; 43-5; 44-1; 45-1; 46-2; 47-4; 48-3; 49-1; 50-5; 51-5; 52-1; 53-2; 54-5; 55-1; 56-1; 57-2; 58-5; 59-5; 60-3; 61-2; 62-2; 63-5; 64-3; 65-3; 66-3; 67-3; 68-3; 69-5; 70-3; 71-4; 72-1; 73-4; 74-3; 75-5; 76-2; 77-4; 78-5; 79-1; A R N = G T> S Conclusions I. A < S: Not True II. A = S: Not True (2-3): C > R E = T R < Y; U E C > R < Y Y> R E U C > R E = T U 2. Conclusions I. C > Y: Not True II. U Y: Not True 3. Conclusions I. U R: True II. T U: True EXPLANATIONS

12 (4 5): P R = B S C B > Z P R = B > Z Z < R = B S C B S 4. Conclusions I. Z = P: Not True II. S Z: Not True 5. Conclusions I. C < S: Not True II. C = S: Not True C is either smaller than or equal to S. Therefore, either Conclusion I or Conclusion II follows L O J +3 5 F I D +3 5 R U P I L N +3 5 C F A B C E H L Q (8 10): 7 th G 6 th C 5 th D 4 th A 3 rd F 2 nd E 1 st B 8. G lives on the topmost floor. 9. C lives immediately above D's floor. 10. F, D. B and G live on odd numbered floor. C lives on even numbered floor.

13 (11 15): 11. Suman likes Samay watch. 12. Harsh likes Pointer pen. 13. Harsh likes Fastrack watch. 14. Harsh likes Swift car. 15. Veena likes Titan watch. 16. It is requested to send another type of letter. It implies that format and emphasis of different types of letters is different. Again, it is clearly mentioned to send an official letter rather than semi - official letter on this subject. Therefore, it is possible to send different types of letters on the same subject. 17. Only assumption I is implicit in the statement. The details of passengers are required for booking the tickets. 18. Clearly, both the assumptions are implicit in the statement. 19. The date of birth of Yasir is February 29. It means he was born in a Leap Year. From statement I: Leap Year between 2005 and 2011 was From statement II: = 2008 and 2008 was a Leap year. 20. From statement I: (21-25): Person Pen Car Watch Suman Parker Mica Samay Mrudula Cello City Citizen Amir Lamy Santro Timex Veena Lexi WagonR Titan Harsh Pointer Swift Fastrack Out of 42 students, 38 play both chess and cricket and the remaining four play only cricket. Therefore, no student plays only chess. Left QRT X UP 21. V sits seventh to the right of Q. 22. Q and S are seated at two extreme ends of the line. 23. Three persons - T, X and U - are seated between R and P. 24. T sits fifth to the left of V. Q sits fifth to the left of P. X sits fifth to the left of S. 25. Seventh from the left W Fifth from the right U P sits exactly between U and W. WVS Right

14 (26 30): 26. O attended Seminar on Thursday and Thursday 1 = Wednesday. N attended Seminar on Saturday and Saturday 1 = Friday. Q attended Seminar on Sunday and Sunday 1 = Saturday. S attended Seminar on Wednesday and Wednesday 1 =Tuesday. M attended Seminar on Tuesday and Tuesday + 2 = Thursday. 27. N attended Seminar in Madrid on Saturday. 28. P attended Seminar in Seoul on Friday. 29. The combination Thursday - O - Paris is correct. 30. R attended Seminar in New York on Monday. M attended Seminar exactly between R and S. P attended Seminar in Seoul on Friday. 31. The inference is definitely false. An example cannot support the inference. 32. The inference seems to be false as the use of term 'most' makes the inference doubtful. But the first part talks about the same. 33. Clearly, the inference is definitely true. 34. The advice is meant for all who are associated with business. Therefore, the inference is probably true. 35. In the passage it is mentioned that the author saw the film 'The wizard Oz' three times. It does not imply that he watches most movies more than twice. 36. (37 39): Pins Day Person City Monday R New York Tuesday M Bangkok Wednesday S Tokyo Thursday O Paris Friday P Seoul Saturday N Madrid Sunday Q London Clips I. II. Either I or II follows. A D Pens C

15 37. I. II. Both I and II follows. 38. I. II. Only I follows. 39. I. II. 40. Neither I nor II follows. Windows Doors I. II. Only II follows men = 8 32 women 5 men = 8 women 5 men + 8 women = 16 women M 1 D 1 = M 2 D = 16 D D 2 = = 16 days Side of the square = 1024 = 32 cm. Length of rectangle = 2 32 = 64 cm. Breadth of rectangle = = 20 cm. Required ratio = 64 : 20 = 16 : x + x x x x + 8 = 220 5x + 20 = 220 x = 40 Second lowest number of different set = = 43 Required sum = = Bus fare = Rs. 420 Clips 3 Train fare = = Rs Required total fare = Rs. ( ) = Rs. ( ) Speed of tractor = = 30 kmph 12 = Rs. 3360

16 250 Speed of jeep = 30 = 75 kmph 3 Speed of car = 75 = 45 kmph 5 ( Average speed of car and jeep together = ) kmph = 60 kmph Gita's average earnings = = = Rs Amount earned by Rahul and Naveen = = Rs Naveen's total earnings on Wednesday = = Rs Required difference = = Rs Required ratio = 360 : 120 : 160 = 9 : 3 : It is obvious from the table Percentage increase in 2006 = = Required difference = ( ) 0 = Rs Total monthly rent at Virar over the years = ( ) 0 = Rs Required percentage = = It is obvious from the table. 56. I. 5x 2 18x + 9 = 0 5x 2 15x 3x + 9 = 0 5x(x 3) 3 (x 3) = 0 (x 3) (5x 3) = 0 3 x = 3 or 5 II. 20 y 2 13y + 2 = 0 20 y 2 8y 5y + 2 = 0 4y (5y 2) 1 (5y 2) = 0 (4y 1) (5y 2) = y = or 4 5 Clearly, x > y 57. I. x 3 = = 1331 x = = 11 II. y 2 = = 121

17 y = 121 = ± 11 x y I. + = x x x = x x = 7 (7) 7/2 II. y 3 =0 y y 7/2 = 7 7/2 y = 7 x = y 59. I. 9x 4x = x = 70 x = 14 II. y = = 13 y = 169 y = = 14 x = y 60. I. x x + 30 = 0 x 2 + 6x + 5x + 30 = 0 x (x + 6) + 5 (x + 6) = 0 (x + 5) (x + 6) = 0 x = 5 or 6 II. y 2 + 7y + 12 = 0 y 2 + 4y + 3y + 12 = 0 y(y + 4) + 3 (y + 4) = 0 (y + 3) (y + 4) = 0 y = 3 or 4 Clearly, x < y 61. The pattern of the number series is : = 20; = = = = = The pattern of the number series is : = = = = = = 77

18 63. (5) The pattern of the number series is : = = = = = (3) The pattern of the number series is : = = = = = (3) The pattern of the number series is : = = = = = = = = = = 734 Calculations (66 70): 25% = % = = Total females = Computer Science = Civil Engineering = Electrical Engineering = Mechanical Engineering = 45 Bio-technology = 75 Total males = = Computer Science = Civil Engineering = 60

19 Electrical Engineering = Mechanical Engineering = Bio-technology = 400 = Required percent = ( ) 75 1 = = 33 % Required ratio = 120 : 105 = 8 : Required difference = = Civil Engineering + Computer Science : Total students = = 300 Male students = Required percent = = Required average = = = ? = = 1019 Required answer = ? = = = ? = = = ? = = 38 Required answer = ? = = Required answer = C.P. of wrist watch = S.P. loss% = Rs. ( ) 2400 = Rs Required S.P. of wrist watch = Rs. ( ) 3200 = Rs. 4000

20 77. Fifth number = = = Let the number be x x = x = 325 x = = x + 4x + 5x + 60 = 360" 10 x = 300 x = 30 Required difference = 5x x = 4x = 4 30 = 120" 80. On dividing 1740 by 88, the remainder = 68 Required number = 68. This model paper was prepared by subject experts of RACE Institute, Hyderabad