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1 IBPS RRB PO Prelims TEST - I: REASONING ABILITY Directions (Q. 1-5) : 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 questions. Read both the statements and given answer : (1) If the data in statement I alone are sufficient to answer the question, while the data in statements II alone are not sufficient to answer the question. () If the data in statement II alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. () If the data either in statement I alone or statement II alone are 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. 1. Which day of the last week did Sachin meet Kapil at Kapil s residency? I. Kapil was out of town from Monday to Wednesday. He returned on Thursday morning. II. On Friday night Sachin telephoned his friend to inform that only yesterday he had approved of Kapil after personally explaining to him all the details.. Anand monthly salary is What is Prakash monthly salary? I. Prakash gets 1000 more than the average salary of his and Anand. II. Average of Anand and Prakash salary is In the last month the company decided to increase the price of refrigerator by 5%. What is the present price of refrigerator? I. The cost of refrigerator and stand together was a month ago. II. The amount of 5% increase on the refrigerator comes to In a certain language the hottest day in may is written as pa ra ga sa ta. What is the code of day in that code language? I. ba na pe ga is written as coldest decade day Delhi. II. sa ke ga ze is written as day temperature dipped Five person C, D, R, K and A are sitting around a circle. All facing outside the centre. Who is sitting between C and K. I. A is sitting second right of K and C is sitting on right A. II. D is sitting extreme right of C and R is sitting second right of D. Directions (Q. 6-8) : In each question below statement(s) is/are given followed by two courses of action numbered I and II. A course of action is a practicable and feasible step or administrative decision to be taken for follow-up, improvement, or further action with regard to the problem, policy, etc. On the basis of the information given in the statement, you have assume everything in the statement to be true, and decide which of the suggested courses of action logically follow(s). Give answer (1) if only I follows. () if only II follows. () If either I or II follows. (4) if neither I nor II follows. (5) If both I and II follow. 6. Statements : India s massive network has been hit by an average of 00 accidents a year. Course of action : I. railway ministry should increase the number of railway tracks so that problem can be solved. II. railways should assign a team to inspect and improve safety and signaling equipment. 7. Statements : The percentage of people paying income tax in India is 0.8% of the total population. Course of action : I. The government should abolish income tax altogether because it costs more to collect income tax than what is earned from that. II. Government should target those who don t pay tax properly and charge a heavy penalty. 8. Statements : Inflation continues to be a big problem. Even as recession has petered away, shopkeepers are selling essential commodities at high prices. Conclusions : I. Government should give subsidy to poor people so that they can buy essential commodities. II. Government should appoint a committee to draft guidelines for regulating selling prices of essential commodities. Directions (Q. 9) : Study the following information and answer the questions given below. 1

2 Q means Q is father of P. P # Q means P is mother of Q. P + Q means P is sister of Q. P Q means Q is daughter of P. P $ Q means P is wife of Q. 9. If S + O; C E; S $ L; C $ O and L then how is E s father related to M s father? (1) Husband () Brother () Father (4) Brother-in-law Directions (Q. 10-1) : Study the following information and answer the questions given below. A team has to be constituted of a fixed number of members from a group of 8 persons B, D, F, H, J, K, L and N. F cannot be selected with B. selection of J and N together is not possible. Selection of only one person is possible between L and K. H is compulsorily to be selected if either D or K is selected. 10. If D and N have been selected in a four member team, then in how many ways can the team be constituted? (1) Five () Four () Three (4) Two (5) One 11. If L has to be selected, then who must be selected in team of five members? (1) F () N () B (4) H (5) J 1. If H is not to be selected, then a team of maximum how many persons can be constituted? (1) Two () Four () Three (4) Five (5) One Directions (Q. 1-15) : In each of the questions below are given four statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the given conclusion from the given statements disregarding commonly known facts. 1. Statements : Some pink are red. All red are yellow. No yellow is green. Some green are pink. Conclusions : I. Some pink are yellow. II. Some pink which are yellow are not green. III. Some pink are not green. (1) I and III follow () II and III follow () All follow (4) None follow (5) I and II follow 14. Statements : Some deserts are rivers. No ocean is a hill. All rivers are oceans. All hills are rocks. Conclusions : I. Some oceans are rocks. II. No ocean is rock. III. Some oceans may be deserts. (1) Only I and III follow () All follow () Only either I or II and III follow (4) none follows (5) Only II and III follows 15. Statements : No paper is a pen. Some breads are butters. Some pens are breads. Some pictures are papers. Conclusions : I. All butters are either breads or pens. II. Some pens are not pictures. III. All pictures are either pens or breads. (1) Only I follows () Only II follows () Only III follows (4) None follows (5) All follow 16. How many meaningful English words can be formed with the letters LPREA using each letter only once in each word? (1) Two () Three () One (4) Four

3 Directions (Q. 17-0) : Study the following information carefully and answer the questions given below : Ten newly appointed minister of government of Inida, named of Arun Jaitely, Nejma Heptulla, Mirmala Sitaram, Rajnath Singh, Ramvilas Paswan, VEnkaiah Naidu, Sadanand Gowda, Nithin Gadkari, Sushma Swaraj and Prakash Javedhar has taken foreign trip. All are going with different airlines. The name of the airlines are fly Emirates, Air Asia, Lufthansa, Malaysian Airlines, British Airways, Kingfisher Airlines, Go Airlines, Air India, Bhutan Airlines and Singapore Airlines, but not necessarily in the same order. All of the ministers are going to different destination. The destinations are Bangkok, UK, Singapore, Bhutan, Nepal, USA, Switzerland, Paataya, Malaysia and Colombo but not necessarily in the same order. No two ministers are going on the same destination. There are seven gents and three ladies in the group. (A) Ramvilas Paswan is going to Bangkok by Air Asia. (B) Sushma Swaraj is not going to Colombo or Paataya. (C) Rajnath Singh is going by Fly Emirates. Venkaiah Naidu is going to Singapore by Go Airlines. (D) Najma Heptulla is not going to Malaysia or Switzerland. (E) Sadanad Gowda is going to Paataya by British Airways. (F) The lady who is going to Switzerland has taken Lu fthansa Airline. (G) Prakash Javedkar is going to Malaysia by Kingfisher Airlines. (H) Nitin Gadkari going by Singapore Airlines and he is not going to UK or Nepal. The ladies is going to USA andtravelling by Bhutan Airlines. (I) (J) Nirmala Sitaram is going to Nepal and taken Malaysia Airlines. The lady who is travelling by Bhutan Airlines is not going to Switzerland and the person who is travelling by Air India is going to Colombo. 17. Sushma Swaraj is travelling by which Airline? (1) Go Airways () Air India () Lufthansa (4) Fly Emirates 18. Nitin Gadkari is travelling to which destination? (1) Nepal () USA () Bhutan (4) Colombo (5) Switzerland 19. Prakash JAvedkar is travelling by which Airline? (1) Kignfisher () Singapore () Malaysia Airline (4) Fly Emirates (5) Air Asia 0. Which of the following combinations is true? (1) Rajnath Singh UK () Venkaiah Naidu Singapore () Nitin Gadkari Bhutan (4) Najma Heptulla USA (5) All of these Directions (Q. 1-5) : Study the following information carefully and answer the questions given below it : Six Lectures A, B, C, D, E and F are to be delivered from Monday to Sunday, one lecture every day. (i) Lecture C cannot be delivered on Friday. (ii) Lecture A is delivered immediately after lecture D. (iii) There should be a gap of two days between the lectures B and F. (iv) There is one holiday except Saturday. Lecture F is delivered on the next day of holiday. (v) Lecture E is delivered on Wednesday and it is not immediately followed by lecture F. 1. On which day was lecture D delivered? (1) Friday () Saturday () Sunday (4) Thursday. On which day was holiday? (1) Sunday () Friday () Monday (4) Can t be determined (5) none of these. How many lectures were delivered between F and D? (1) None () One () Two (4) Three

4 4. Which of the following was the last lecture? (1) A () C () B (4) Can t be determined 5. Which of the following statements is not necessary to determine the order of lectures? (1) (i) () (ii) () (v) (4) (i) and (ii) (5) all statements are necessary Directions (Q. 6-0) : Study the infomation carefully and answer the questions given below. Seven friends A, B, C, D, E, F and G applied for three Banks P, Q and R. Out of these atleast two have applied for each bank. There is only one girl who has applied only for one bank. Out of seven friends three were selected one for one bank, out of these was only one girl. B is sister of G and both have applied for the same bank but not for Q. A applied for the bank R only with E who is a girl. F applied for the Bank P but he was not selected. C who is the wife of D, has been selected. 6. Which of the following combinations represents girls? (1) B C E () B C G () C E G (4) Cannot be determined 7. For whcih bank, three persons applied? (1) R () P or Q () Q or R (4) P (5) Cannot be determined 8. Which of the following combinations of boys and Bank is correct? (1) G-Q () C-Q () D-R (4) E-R (5) A-R 9. Which of the following combinations of friends, represents for the Bank P? (1) B and F () F and G () B, F and G (4) B, F and C 0. Finally which of the following were selected? (1) A, C, F () A, C, G () B, C, F (4) B, C, G Directions (Q. 1-5) : These questions are based on the following letters/ number/ symbol arrangement. Study it carefully to answer the questions. A8B6#7HU%$FVRI@ 41WE9 L5 1. Which of the following is seventh to the right of fifteenth from the right end? (1) 4 () () 1 (4) W. If all the symbols are dropped from the above arrangement which of the following will be eighth from the left end? (1) F () $ () U (4). How many such symbols are there in the above arrangement, each of which is immediately followed by a consonant and also immediately preceded by a number? (1) None () One () Two (4) Three (5) More than three 4. How many such numbers are there in the above arrangement each of which is immediately followed by a vowel but not immediately preceded by a number? (1) None () One () Two (4) Three (5) More than three 5. Four of the following five are alike in a certain way on the basis of their positions in the above arrangement and so form a group. Which is the one that does not belong to the group? (1) B7# () I4 () FR (4) 95L (5) W E Directions (Q. 6-7) : These question are based on the following information. In a certain code, za ed mn means sky is blue, mn god prv means blue are ure and za to sun to mens very very sky beautiful. 6. beautiful sky is blue can be coded as which of the following 4

5 (1) mn za to sun () za mn sun ed () za mn sun prv (4) prv sun za ed (5) none of these 7. Which of the following is the code for very? (1) za () sun () to (4) god Directions (Q. 8-40) : These questions are based on the following information. Six friends A, B, C, D, E and F are sitting in a straight line. B sits third to the left of E, who sits at the end of the line. C is not an immediate neighbour of F and E. one person sits between B and D. F is sitting at the left end of the line. 8. What is the A s position with respect of E? (1) fourth right () third right () fourth left (4) fifth left 9. If all the six friends are made to sit alphabetically from right to left, position of how many of them will remain unchanged? (1) None () One () Two (4) Three Directions (Q. 40) : Study the following information, carefully to answer the given questions. Six bank clerks A, E, I, O, U and Y are working in three SBI associates banks SBI Patiala, SBI Hyderabed and SBI Mysore. They belonging to four different cities. i.e., Delhi, Dehradoon, Agra and Ajmer. At least one clerk works in each bank and at least one clerk belong to each city. U works either in SBI Patiala or SBI Mysore. One clerk of SBI Hyderabad bank belongs to Delhi. E either belongs to Delhi or Dehradoon and does not work in SBI Hyderabad. Y does not work with O and E. I works in SBI Patiala and he is not from Delhi. Both the clerks of SBI Mysore are not from Ajmer. A is not from Ajmer and O work with SBI Patiala. Two persons belong to Delhi and they don t work with SBI Mysore. Person from Agra does not Work in SBI Patiala. U is from Delhi and O is not from Dehradoon. Clerks of same banks don t belong to same city. 40. From Which city does I belong? (1) Agra () Dehradoon () Delhi (4) Ajmer (5) Can t be determined TEST - II: QUANTITATIVE APTITUDE 41. From a pack of 5 cards, cards are drawn randomly. What is the probability that it has one King and one Jack? (1) () () (4) In an examination a minimum marks is to be scored in each of the 8 subjects to pass. In how many way s can a student fail? (1) 17 () 6 () 55 (4) A certain sum of money amounted to Rs. 600 at 5% in a certain time in which Rs. 800 amounted to Rs. 960 at the same rate. If the rate of interest is simple then what is the sum? (1) Rs. 540 () Rs. 50 () Rs. 500 (4) Rs. 480 (5) Rs If the difference between compounded interest and simple interest on a certain sum of money at 6% per annum for years is Rs..60. what is the sum? (1) Rs. 90 () Rs. 95 () Rs. 960 (4) Rs. 980 (5) RS A man can swim at 10 kmph in still water. If the river flows at kmph, it takes 1 hours more in upstream than to go downstream for the same distance, then how far is the place? (1) 106 km () 164 km () 170 km (4) 175 km (5) 18 km 46. Two trains of length 10 m and 90 m respectively with the same speed pass a static pole in 8 seconds and 6 seconds respectively. In what time will they cross each other if they are moving in opposite directions? (1) 14 seconds () 6 seconds () 0 seconds (4) 7 seconds 47. A train travelling at the speed of 50 kmph leaves from a station. Another train travelling at speed of 60 kmph leaves the same station after 7 hours in the same direction. They will meet after what distance? (1) 1800 km () 100 km () 400 km (4) 700 km 48. A alone would take 6 hours more to complete the job than if both A and B work together. When B worked alone he took 1.5 hours more to complete the job and A then B takes together. How much time will they take if they work together? (1) hours () 4 hours () 4.5 hours (4) 5 hours 5

6 49. A dealer bought an item at 10% discount on its original price. He sold it at 5% more than the original price. What percentage profit did he get? (1) 5% () 45% ().5% (4) 50% (5) 5% 50. Find the number which when multiplied by 14 increase by 78. (1) 15 () 1 () 11 (4) 9 (5) 6 Directions (Q ) : Study the following graph carefully to answer the questions that follow : Production & sale of computers of various companies in a month 100 Units Produced Units Sold Number of Units Companies 51. Which company had highest percentage of sale with respect to its production? (1) B () D () F (4) A 5. What is the average number of units sold by all the companies together? (1) 400 () 60 () 40 (4) The total units sold by these companies A, B and C together is what percent of the total units produced of these companies? (1) 7 67 () 6 () (4) What is the respective ratio of the total production of companies C and F to the total sale of companies D and F? (1) : 4 () 4 : () 8 : 7 (4) 11 : The total units produced by companies C, D and E is how much percent more/less than the total companies sold by companies B, C and F? (1) % more () 81 % more () 84% less (4) 81 % more (5) 11 % less Directions (Q ) : The following bar graph shows the ratio of export to import of two companies A and B during the period of A B C D E F 00 6

7 Company A Compnay B If export of Company A in 007 together is Rs. 80 lakh then what is the total import of a in 007 and 009 together? (1) Rs. 110 lakh () Rs. 60 lakh () Rs. 100 lakh (4) Rs. 10 lakh (5) Cannot be determined 57. What is the ratio of the number of years in which export is less than import for Company A and the number of years in which export is more than import for Company B? (1) : () : 4 () : 5 (4) : 5 (5) 1 : In which year, the difference of export and import for Company B is the minimum? (1) 007 () 008 () 011 (4) 01 (5) Can t say 59. if he difference between import and export of Company a in year 01 is Rs. 15 lakh then what is the export of Company A in the same year? (1) 60 lakh () 75 lakh () 40 lakh (4) 50 lakh 60. For Company A if in year 008 export is decreased by 0% and import is increased by 0% then what will be the new ratio of export to import? (1) 5 : 4 () : 4 () : 5 (4) : 4 (5) 1 : 1 Directions (Q ) : In the following questions two Equations I and II are given. You have to solve both the equations and Give answer (1) If x > y () If x y () If x < y (4) If x y (5) If x = y or the relationship cannot be established 61. I. y = x 4 II. 4.1 y = I. 4x + y = 8.5 II. x + 4y = I. x = II. y = ± I. x + 17x + 7 = 0 II. y + 15y + 56 = 0 Directions (Q ) : What should come in place of the question mark (?) in the following questions? 65. 7% of 85 + % of 645 =? (1) () () (4) =? (1) 9 () 76 () 8 (4) (? )? = 1968 (1) 6 () 9 () 4 (4)

8 Directions (Q ) : What approximate value should come in place of question mark (?) in the following questions / (You are not expected to calculate the exact value.) 68. (56% of 808) 19 =? (1) 6 () 19 () 5 (4) 47 (5) (6.46) =? (1) () () (4) (5) ( ) =? (1) 85 () 4175 () 4500 (4) 950 (5) 00 Directions (Q ) : What should come in place of the question mark (?) in the following questions? % of % of 40 =? (1) 10.7 () 1.64 () (4) % of 7 of 9 of 5 of of 9450 =? (1) () 6 () 4 (4) 48 (5) ? =? 89 (1) 57 () 99 () (4) If 1565 = (x ), then x =? (1) () 4 () 5 (4) 7 (5) =? 5 (1) 65 () 4 () 1 (4) 1 (5) 7 Directions (Q ) : In each of the following questions a number series is given which has only one wrong number. You have to find out the wrong number , 47.5, 87.5, 157.5, 47.5, 57.5, (1) 57.5 () 87.5 () (4) 7.5 (5) , 16, 1, 7, 9, 5, 69 (1) 1 () 9 () 7 (4) 5 (5) , 91, 10, 15, 190,, 76 (1) 10 () () 15 (4) 76 (5) The product of two successive numbers is Which is the smaller number? (1) 4 () 44 () 5 (4) The difference between 55% of a number and 5% of the same number is What is 75% of that number? (1) 7.75 () 7 () 1.5 (4) 45 8

9 ANSWER KEY 1 (5) 1 () 41 () 61 (1) () (5) 4 () 6 () () (1) 4 () 6 () 4 () 4 (1) 44 (5) 64 (4) 5 (5) 5 (1) 45 (5) 65 (4) 6 () 6 (1) 46 (4) 66 (1) 7 () 7 (4) 47 () 67 (5) 8 (4) 8 (5) 48 (1) 68 () 9 (4) 9 () 49 (4) 69 () 10 () 0 () 50 (5) 70 (5) 11 (4) 1 (1) 51 () 71 () 1 () (4) 5 (1) 7 (4) 1 () () 5 () 7 () 14 () 4 () 54 (5) 74 () 15 (4) 5 (5) 55 (4) 75 () 16 (1) 6 () 56 (5) 76 (5) 17 () 7 () 57 () 77 () 18 () 8 () 58 () 78 () 19 (1) 9 () 59 (1) 79 () 0 (5) 40 () 60 (5) 80 (1) 9

10 1. (5). () From Statement I : P P = 1000 P P 8000 = 000 P = From Statement II : A+ P = 9000 A + P = P = Thus, either I or II is sufficient.. () From I : We get the cost of refrigerator and stand = T From II : 5x 5% of x = 850 = 850 5x = x = = Present price = ( ) = T () Both the statement are required to get the code of day. From statement I : ta na pe ga = coldest decade day Delhi. sa ke ga ze = day temperature dipped 18. So the code for day will be ga. 5. (5) From - I : A K From - II : C C D R From both the statement it s not clear who is sitting between C and K. 6. () I is not a practical course of action. II follows, as enquiry is the norm after every failures/ incidents. 7. () I is right course of action as it will protect pillion riders but II will solve one question and create another problem. 8. (4) Both of the courses of action do not address the problem. It cannot be explained how values of life of multiple hobby classes can stop people from committing suicide. 9. (4) L + S O + C M E From the above diagram the relation of E s father and M s father is brother-in-law. 10. () If D and N have selected in a four member team. Then, D N B H HINTS & SOLUTIONS 10 D N F H D N K H D N L K Only these are possible to make a team. 11. (4) If L has to be selected H is must be selected L K J/N F/B H five member s team. 1. () If H is not selected. Only three members is maximum to form a team. 16. (1) LPREA = (PEARL, LEPRA) Name Destination Airline Arun Jaitely Colombo Air India Sushma Swaraj Sadanand Gowda Paataya Ramvilas Paswan Bangkok Switzerland Lufthanasa British Airways Air Asia Rajnath Singh U.K. Fly Emirates Venkaiah Naidu Singapore Go Airlines Prakash Javedkar Malaysia Kingfisher Nitin Gadkari Bhutan Singapore Airlines Nirmal Sitaram Nepal Malaysian Airlines Nejma Heptulla USA Bhutan Airlines 17. () 18. () 19. (1) 0. (5) 1-5. Day Lecture Monday Tuesday Wednesday Thursday Friday Saturday E Sunday From clue (v) : Lecture E is delivered on Wednesday. And the lecture F was not delivered on Thursday. Again, from clue (iv) : Tuesday and Saturday were not holiday. From direction part it is obvious that neither Monday nor Sunday was holiday. So, by elimination holiday was either Thursday or on Friday. Now, from clues (iii) and (iv) we get the following orders of lecture of B and F. X. B * Holiday F

11 Y. Holiday F * * B Reject the possibility of Y because according to it there must be at least four lectures after holiday. This is not possible even when the holiday is on Thursday. Now, use the possibility X. If holiday is on Friday, two lectures (B & E) need to be arranged on Wednesday, which is not possible. Therefore, the holiday must be on Thursday. And the lectures B and F delivered on Tuesday and Friday respectively. Now, from clue (ii) : A can t be delivered either on Monday or on Saturday. Obviously, the lecture A was delivered on Sunday. This implies that the lecture D was delivered on Saturday. By elimination, the lecture C was delivered on Monday. Thus, the whole information can be tabulated as below: Day Lecture Monday Tuesday Wednesday Thursday Friday Saturday Sunday A 1. (). (5) Thursday.. (1) 4. (1) 5. (1) 6-0. Persons Banks Sex G P Male Selection in Banks P G, Q C, R A 6. (1) B, C and E are hree girls. 7. (4) For Bank P, three persons applied. 8. (5) A-R is the correct combination. 9. () B, F and G represents the combination for Bank P. 0. () A, C and G were selected. 1. (1) Seventh to the right of fifteenth from the right end is 4.. (4) If all the symbols are dropped from the arrangement C B E Holiday F D A R Male B P Female C Q Female D Q Male E R Female F P Male 11 A8B67HUFVRI41WE9L5 Eighth from the left So, eighth from the left is.. () Number Symbol Consonant $ F and 9 L 4. () Number Symbol Vowel R I (5) As, B 7 #, I F R, 9 5 L + But, W E So, W E does not belong to the group. 6. () Beautiful sky is blue coded as za mn sun ed. 7. () very code is to F A B C D E 8. () 9. () 40. () 41. () n(s) = 5 C = 51 6 n(e) = 4 C 1 4 C 1 = P(E) = = () The student can fail in 1,,, 4, 5, 6, 7, 8 subjects. So the number of ways he can fail is 8 C C + 8 C + 8 C C C C C 8 = = () Interest = = Time = = 4 years Now, t = 4, r = 5%, Amount = Sum = = = T Difference (5) Sum = = = T (5) Let distance be = x. x x = x x 1x 7x 6x = 1 = 1 = x = = 18 km (4) Speed of trains = m / sec 8 = and m / sec 6 = Relative speed = = 0 m/sec Time = = 10 = 7 seconds () Let the required distance be x km.

12 x x 6x 5x = 7 = x = 00 7 = 100 km. 48. (1) Let A and B together complete the work in x hours. Given A can take 6 hours more than A and B work together i.e. = x + 6 Given B can take 1.5 hours more than A and B work together i.e. = x = A B x = x + 6 x x x x = (x + 6)(x + 1.5) x (x + 7.5)x = (x + 6)(x + 1.5) x + 7.5x = x + 7.5x + 9 x = 9 x =± ( ve value is neglected). x =. 49. (4) Let the original price be T 100. So he bought it at 10% discount i.e. T 90 and sells it at 5% more than the original rate i.e. T 15. Actual profit is = T 45 % profit = % 90 =. 50. (5) Let the number be x. 14x x = x = = () % of sale with respect to its production : A = 100 = 6.5%, B = 100 = 70%, C = 100 = 50%, D = 100 = 71.4%, E = 100 =.%, F = 100 = 40% (1) Required average = = = () Total units sold by companies A, B and C = ( ) = 1400 Total units produced by companies A, B and C = = 00 Required % = = 6 7 % (5) Required ratio = ( ) = 900 = 9:7 ( ) (4) The total units produced by companies C, D and E = = 000 units The total units sold by companies B, C and F = = 1100 units Required % = 100 = 81 % (5) Answer can not be found by given data () For P in 009 and 01 impor > export and for Q in (007, 009, 010, 011 and 01) export > import. 58. () In the year 008 the export to import ratio is 1. That means both import and export are same. So the difference is zero. The difference of export and import for company B in the year 008 is minimum. 59. (1) In 01, Export 0.8 Import = Import = lakhs 0. = Export = 0.8 import = = 60 lakhs. 60. (5) In 007, E 1.5 I = Export decreased by 0%. 4E E1 = 5 And import increased by 0%. 6I Import = I 1 = 5 E1 4E 5 E = = = 1.5 = 1.0 I1 5 6I I (1) From I, y = x = x 9 From II, y = = 4.5 Put the value of y = 4.5 in Eq. I, 4.5 = x x = = So, x > y 6. () From I and II, 4x + y = 8.5 (x + 4y = 9.5) 4x + 8y = 19 4x + 8y = 19 4x + y = 8.5 6y = y = = Put the value of y = 1.75 in Eq. I, 4x + (1.75) = 8.5 4x +.5 = 8.5 4x = 5 5 x = = So, x < y 6. () From I, x = = x = + From II, y = ± 484 = ± So, x y ( ± ) 64. (4) From I, x + 17x + 7 = 0 x + 9x + 8x + 7 = 0

13 x(x + 9) + 8(x + 9) = 0 (x + 9)(x + 8) = 0 x = 8 or 9 Form II, y + 15y + 56 = 0 y + 8y + 7y + 56 = 0 y(y + 8) + 7(y + 8) = 0 (y + 7)(y + 8) = 0 y = 7 or 8 So, x y 65. (4)? = 7% of 85 + % of 645 7? = = = (1)? = = = (5) (? )? = 1968 (?) 9 () =? = 9? = 68. ()? = (56% of 808) 19 56? = = ? = 5.6 = 5 (approx.) 69. ()? = (6.46) = = (approx.) 70. (5)? = ( ) = (90.777) = 0.46 = 00 (approx.) 71. ()? = 1.65% of % of = + = = (4)? = 0% of 7 of 9 of 5 of of = 0% of 9450 = 0% of 160 = () 61? =? 89 (?) = = (19) (17)? = = 74. () 1565 = (x ) (x ) = 1565 = (5) 6 x 6 = 5 6 x = () 76. (5) =? ? = =? =? 5 65 =? 5 65? = = () 78. () Right number = 7.5, Wrong number = Right number = = 8, Wrong number = Right number = = 1, Wrong number =. 79. () Suppose required small numer is x. x (x + 1) = 1980 x + x 1980 = 0 x + 45x 44x 1980 = 0 x(x + 45) 44(x + 45) = 0 (x 44) (x + 45) = 0 x = 44. So, smallest number is (1) =