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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.

(2) 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.

(3) 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. 2. Anand monthly salary is ‘8000. 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 ‘9000. 3. In the last month the company decided to increase the price of refrigerator by 25%. What is the present price of refrigerator? I. The cost of refrigerator and stand together was ‘10500 a month ago. II. The amount of 25% increase on the refrigerator comes to ‘850. 4. 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 18’. 5. 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. (2) if only II follows. (3) 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 200 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.

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P @ 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 M @ L then how is E’s father related to M’s father? (1) Husband (2) Brother (3) Father (4) Brother-in-law (5) None of these Directions (Q. 10-12) : 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 (2) Four (3) Three (4) Two (5) One 11. If L has to be selected, then who must be selected in team of five members? (1) F (2) N (3) B (4) H (5) J 12. If H is not to be selected, then a team of maximum how many persons can be constituted? (1) Two (2) Four (3) Three (4) Five (5) One Directions (Q. 13-15) : 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. 13. 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 (2) II and III follow (3) 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 (2) All follow (3) 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 (2) Only II follows (3) 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 (2) Three (3) One (4) Four (5) None of these

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Directions (Q. 17-20) : 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) Nirmala Sitaram is going to Nepal and taken Malaysia Airlines. (J) 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 (2) Air India (3) Lufthansa (4) Fly Emirates (5) None of these 18. Nitin Gadkari is travelling to which destination? (1) Nepal (2) USA (3) Bhutan (4) Colombo (5) Switzerland 19. Prakash JAvedkar is travelling by which Airline? (1) Kignfisher (2) Singapore (3) Malaysia Airline (4) Fly Emirates (5) Air Asia 20. Which of the following combinations is true? (1) Rajnath Singh – UK (2) Venkaiah Naidu – Singapore (3) Nitin Gadkari – Bhutan (4) Najma Heptulla – USA (5) All of these Directions (Q. 21-25) : 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. 21. On which day was lecture D delivered? (1) Friday (2) Saturday (3) Sunday (4) Thursday (5) None of these 22. On which day was holiday? (1) Sunday (2) Friday (3) Monday (4) Can’t be determined (5) none of these 23. How many lectures were delivered between F and D? (1) None (2) One (3) Two (4) Three

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(5) None of these 24. Which of the following was the last lecture? (1) A (2) C (3) B (4) Can’t be determined (5) None of these 25. Which of the following statements is not necessary to determine the order of lectures? (1) (i) (2) (ii) (3) (v) (4) (i) and (ii) (5) all statements are necessary Directions (Q. 26-30) : 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. 26. Which of the following combinations represents girls? (1) B C E (2) B C G (3) C E G (4) Cannot be determined (5) None of these 27. For whcih bank, three persons applied? (1) R (2) P or Q (3) Q or R (4) P (5) Cannot be determined 28. Which of the following combinations of boys and Bank is correct? (1) G-Q (2) C-Q (3) D-R (4) E-R (5) A-R 29. Which of the following combinations of friends, represents for the Bank P? (1) B and F (2) F and G (3) B, F and G (4) B, F and C (5) None of these 30. Finally which of the following were selected? (1) A, C, F (2) A, C, G (3) B, C, F (4) B, C, G (5) None of these Directions (Q. 31-35) : These questions are based on the following letters/ number/ symbol arrangement. Study it carefully to answer the questions. A8B6#7HU%3$FVR2I@↑ 41WE9©L5 31. Which of the following is seventh to the right of fifteenth from the right end? (1) 4 (2) ↑ (3) 1 (4) W (5) None of these 32. If all the symbols are dropped from the above arrangement which of the following will be eighth from the left end? (1) F (2) $ (3) U (4) 3 (5) None of these 33. 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 (2) One (3) Two (4) Three (5) More than three 34. 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 (2) One (3) Two (4) Three (5) More than three 35. 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# (2) I4↑ (3) F2R (4) 95L (5) W©E

Directions (Q. 36-37) : 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’. 36. ‘beautiful sky is blue’ can be coded as which of the following

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(1) mn za to sun (2) za mn sun ed (3) za mn sun prv (4) prv sun za ed (5) none of these 37. Which of the following is the code for ‘very’? (1) za (2) sun (3) to (4) god (5) None of these

Directions (Q. 38-40) : 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. 38. What is the A’s position with respect of E? (1) fourth right (2) third right (3) fourth left (4) fifth left (5) None of these 39. 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 (2) One (3) Two (4) Three (5) None of these

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 (2) Dehradoon (3) Delhi (4) Ajmer (5) Can’t be determined 41. From a pack of 52 cards, 2 cards are drawn randomly. What is the probability that it has one King and one Jack?

(1) 7663

(2) 8663

(3) 11663

(4) 13663

(5) None of these 42. 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) 127 (2) 63 (3) 255 (4) 256 (5) None of these 43. 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 (2) Rs. 520 (3) Rs. 500 (4) Rs. 480 (5) Rs. 450 44. If the difference between compounded interest and simple interest on a certain sum of money at 6% per annum for 2 years is

Rs.3.60. what is the sum? (1) Rs. 920 (2) Rs. 925 (3) Rs. 960 (4) Rs. 980 (5) RS. 1000 45. A man can swim at 10 kmph in still water. If the river flows at 3 kmph, it takes 12 hours more in upstream than to go

downstream for the same distance, then how far is the place? (1) 106 km (2) 164 km (3) 170 km (4) 175 km (5) 182 km 46. Two trains of length 120 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 (2) 6 seconds (3) 20 seconds (4) 7 seconds (5) None of these 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 (2) 2100 km (3) 2400 km (4) 2700 km (5) None of these 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) 3 hours (2) 4 hours (3) 4.5 hours (4) 5 hours (5) None of these

TEST - II: QUANTITATIVE APTITUDE

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49. A dealer bought an item at 10% discount on its original price. He sold it at 35% more than the original price. What percentage profit did he get?

(1) 25% (2) 45% (3) 22.5% (4) 50% (5) 35% 50. Find the number which when multiplied by 14 increase by 78. (1) 15 (2) 13 (3) 11 (4) 9 (5) 6 Directions (Q. 51-55) : Study the following graph carefully to answer the questions that follow :

Production & sale of computers of various companies in a month

51. Which company had highest percentage of sale with respect to its production? (1) B (2) D (3) F (4) A (5) None of these 52. What is the average number of units sold by all the companies together? (1) 400 (2) 360 (3) 420 (4) 395 (5) None of these 53. The total units sold by these companies A, B and C together is what percent of the total units produced of these companies?

(1) 36711

(2) 76311

(3) 35713

(4) 61

(5) None of these 54. What is the respective ratio of the total production of companies C and F to the total sale of companies D and F? (1) 3 : 4 (2) 4 : 3 (3) 8 : 7 (4) 11 : 9 (5) None of these 55. 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) 318 %11

more (2) 781 %11

more (3) 84% less (4) 981 %11

more

(5) 211 %3

less

Directions (Q. 56-60) : The following bar graph shows the ratio of export to import of two companies A and B during the period of 2007-2012.

800

1000

400

700

900

500500

700

200

500

300200

0

200

400

600

800

1000

1200

A B C D E F

Units Produced Units Sold

Companies

Num

ber

of U

nits

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56. If export of Company A in 2007 together is Rs. 80 lakh then what is the total import of a in 2007 and 2009 together? (1) Rs. 110 lakh (2) Rs. 60 lakh (3) Rs. 100 lakh (4) Rs. 120 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) 2 : 3 (2) 3 : 4 (3) 2 : 5 (4) 3 : 5 (5) 1 : 1 58. In which year, the difference of export and import for Company B is the minimum? (1) 2007 (2) 2008 (3) 2011 (4) 2012 (5) Can’t say 59. if he difference between import and export of Company a in year 2012 is Rs. 15 lakh then what is the export of Company A

in the same year? (1) 60 lakh (2) 75 lakh (3) 40 lakh (4) 50 lakh (5) None of these 60. For Company A if in year 2008 export is decreased by 20% and import is increased by 20% then what will be the new ratio

of export to import? (1) 5 : 4 (2) 3 : 4 (3) 3 : 5 (4) 3 : 4 (5) 1 : 1 Directions (Q. 61-64) : 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 (2) If x ≥ y (3) If x < y (4) If x ≤ y (5) If x = y or the relationship cannot be established

61. I. 3 2y x4 3

= II. 24.1 – y = 19.6

62. I. 4x + 2y = 8.5 II. 2x + 4y = 9.5 63. I. 3x 10648= II. y 484= ± 64. I. x2 + 17x + 72 = 0 II. y2 + 15y + 56 = 0 Directions (Q. 65-67) : What should come in place of the question mark (?) in the following questions? 65. 73% of 8523 + 32% of 6245 = ? (1) 8042.21 (2) 8136.28 (3) 8625.35 (4) 8220.19 (5) None of these 66. 3 804357 ?= (1) 93 (2) 76 (3) 83 (4) 86 (5) None of these 67. (3?)? = 19683 (1) 6 (2) 9 (3) 4 (4) 8 (5) None of these

2

1.5

0.75

2.5

1.8

0.8

1.21

1.6

2.4

1.5 1.6

0

0.5

1

1.5

2

2.5

3

2007 2008 2009 2010 2011 2012

Company A Compnay B

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Directions (Q. 68-70) : What approximate value should come in place of question mark (?) in the following questions / (You are not expected to calculate the exact value.) 68. (563% of 808) ÷ 129 = ? (1) 63 (2) 19 (3) 35 (4) 47 (5) 51 69. (632.46)2 = ? (1) 410000 (2) 400000 (3) 405000 (4) 395000 (5) 380000 70. (629.715 – 238.938) × 8.451 = ? (1) 3825 (2) 4175 (3) 4500 (4) 2950 (5) 3300 Directions (Q. 71-75) : What should come in place of the question mark (?) in the following questions? 71. 1.65% of 310 + 1.75% of 430 = ? (1) 10.27 (2) 12.64 (3) 14.44 (4) 16.56 (5) None of these

72. 30% of 27

of 29

of 25

of 23

of 9450 = ?

(1) 32 (2) 36 (3) 42 (4) 48 (5) 52

73. 361 ?? 289

=

(1) 357 (2) 399 (3) 323 (4) 327 (5) None of these 74. If 15625 = (x2)3, then x = ? (1) 3 (2) 4 (3) 5 (4) 7 (5) 9

75.

2 25 31 1 ? 5

1024 343

− −

+ = ×

(1) 65 (2) 42 (3) 13 (4) 21 (5) 27

Directions (Q. 76-78) : 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.

76. 7.5, 47.5, 87.5, 157.5, 247.5, 357.5, 487.5 (1) 357.5 (2) 87.5 (3) 157.5 (4) 7.5 (5) 47.5 77. 13, 16, 21, 27, 39, 52, 69 (1) 21 (2) 39 (3) 27 (4) 52 (5) 16 78. 66, 91, 120, 153, 190, 233, 276 (1) 120 (2) 233 (3) 153 (4) 276 (5) 190 79. The product of two successive numbers is 1980. Which is the smaller number? (1) 34 (2) 44 (3) 35 (4) 45 (5) None of these 80. The difference between 55% of a number and 25% of the same number is 11.10. What is 75% of that number? (1) 27.75 (2) 37 (3) 21.25 (4) 45 (5) None of these

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ANSWER KEY

1 (5) 21 (2) 41 (2) 61 (1)

2 (3) 22 (5) 42 (3) 62 (3)

3 (2) 23 (1) 43 (3) 63 (2)

4 (3) 24 (1) 44 (5) 64 (4)

5 (5) 25 (1) 45 (5) 65 (4)

6 (2) 26 (1) 46 (4) 66 (1)

7 (2) 27 (4) 47 (2) 67 (5)

8 (4) 28 (5) 48 (1) 68 (3)

9 (4) 29 (3) 49 (4) 69 (2)

10 (2) 30 (2) 50 (5) 70 (5)

11 (4) 31 (1) 51 (2) 71 (2)

12 (3) 32 (4) 52 (1) 72 (4)

13 (3) 33 (3) 53 (2) 73 (3)

14 (3) 34 (2) 54 (5) 74 (3)

15 (4) 35 (5) 55 (4) 75 (3)

16 (1) 36 (2) 56 (5) 76 (5)

17 (3) 37 (3) 57 (3) 77 (3)

18 (3) 38 (3) 58 (2) 78 (2)

19 (1) 39 (3) 59 (1) 79 (2)

20 (5) 40 (2) 60 (5) 80 (1)

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HINTS & SOLUTIONS

1. (5) 2. (3) From Statement I :

P 8000P 1000 2P P 8000 20002

+− = ⇒ − − =

∴ P = 10000 From Statement II :

A P 9000 A P 18000 P 100002+

= ⇒ + = ⇒ =

Thus, either I or II is sufficient. 3. (2) From I : We get the cost of refrigerator and stand = T 10500 From II :

25% of x = 850 25x 850 25x 850 100100

⇒ = ⇒ = ×

850 100x 340025×

∴ = =

Present price = (3400 + 850) = T 4250. 4. (3) 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 :

From - II :

From both the statement it’s not clear who is sitting

between C and K. 6. (2) I is not a practical course of action. II follows, as

enquiry is the norm after every failures/ incidents. 7. (2) 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)

From the above diagram the relation of E’s father

and M’s father is brother-in-law. 10. (2) If D and N have selected in a four member team.

Then, D N B H

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. 12. (3) If H is not selected. Only three members is maximum to form a team. 16. (1) LPREA = (PEARL, LEPRA) 17-20.

17. (3) 18. (3) 19. (1) 20. (5) 21-25.

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

A

C

K

C

D

R

L+

S–

O+

C–

M E–

Name Destination Airline

Arun Jaitely Colombo Air India

Sushma Swaraj Switzerland Lufthanasa

Sadanand Gowda Paataya British Airways

Ramvilas Paswan Bangkok 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

Day Lecture

Monday

Tuesday

Wednesday E

Thursday

Friday

Saturday

Sunday

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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:

21. (2) 22. (5) Thursday. 23. (1) 24. (1) 25. (1) 26-30.

Selection in Banks P G, Q C, R A→ → → 26. (1) B, C and E are hree girls. 27. (4) For Bank P, three persons applied. 28. (5) A-R is the correct combination. 29. (3) B, F and G represents the combination for Bank P. 30. (2) A, C and G were selected. 31. (1) Seventh to the right of fifteenth from the right end

is 4. 32. (4) If all the symbols are dropped from the arrangement

So, eighth from the left is 3. 33. (3) Number Symbol Consonant 3 $ F and 9 © L 34. (2) Number Symbol Vowel R 2 I 35. (5) As, 3 –1 3 –1B 7 #, I 4+ +→ → → →↑

3 –1 3 –1F 2 R, 9 5 L+ +→ → → →

But, 3 –2W E+→→ So, W©E does not belong to the group. 36. (2) ‘Beautiful sky is blue’ coded as ‘za mn sun ed’. 37. (3) very code is to. 38-39.

38. (3) 39. (3) 40. (2) 41. (2) n(S) = 52C2 = 51 × 26 n(E) = 4C1 × 4C1 = 4 × 4

16 8P(E)51 26 663

= =×

42. (3) The student can fail in 1, 2, 3, 4, 5, 6, 7, 8 subjects. So the number of ways he can fail is 8C1 + 8C2 + 8C3 + 8C4 + 8C5 + 8C6 + 8C7 + 8C8 = 8 + 28 + 56 + 70 + 56 + 28 + 8 + 1 = 255. 43. (3) Interest = 960 – 800 = 160.

Time = 160 1005 800××

= 4 years

Now, t = 4, r = 5%, Amount = 600

100 600 60000Sum 500100 5 4 120

×∴ = = =

+ ×T

44. (5) Sum = Difference 100 1006 6× ××

3.6 100 100 100036

× ×= = T

45. (5) Let distance be = x.

x x 1210 3 10 3

∴ − =− +

x x 13x 7x 6x12 12 127 13 91 91

−⇒ − = ⇒ = ⇒ =

91 12x 182 km6×

∴ = =

46. (4) Speed of trains

= 120 15 m / sec8

= and 90 15 m / sec6=

∴ Relative speed = 15 + 15 = 30 m/sec

∴ Time = 120 90 210 7 seconds30 30+

= =

47. (2) Let the required distance be x km.

Day Lecture

Monday C

Tuesday B

Wednesday E

Thursday Holiday

Friday F

Saturday D

Sunday A

Persons Banks Sex

A R Male

B P Female

C Q Female

D Q Male

E R Female

F P Male

G P Male

A 8 B 6 7 H U 3 F V R 2 I 4 1 W E 9 L 5

Eighth from the left

F A B C D E

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x x 750 60

− = 6x 5x 7

300−

⇒ =

∴ x = 300 × 7 = 2100 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 + 1.5

1 1 1A B x+ =

1 1 1x 6 x 1.5 x

⇒ + =+ +

x 1.5 x 6 1(x 6)(x 1.5) x+ + +

⇒ =+ +

(2x 7.5)x (x 6)(x 1.5)⇒ + = + + 2 22x 7.5x x 7.5x 9⇒ + = + + 2x 9 x 3⇒ = ⇒ = ± (–ve value is neglected). ∴ x = 3. 49. (4) Let the original price be T 100. So he bought it at 10% discount i.e. T 90 and sells

it at 35% more than the original rate i.e. T 135. Actual profit is 135 – 90 = T 45

∴ % profit = 45 100 50%90

× = .

50. (5) Let the number be x. 14x – x = 78.

78x 6.13

∴ = =

51. (2) % of sale with respect to its production :

500A 100 62.5%800

= × = , 700B 100 70%1000

= × = ,

200C 100 50%400

= × = , 500D 100 71.43%700

= × = ,

300E 100 33.33%900

= × = , 200F 100 40%500

= × =

52. (1) Required average

500 700 200 500 300 200 2400 4006 6

+ + + + += = =

53. (2) Total units sold by companies A, B and C = (500 + 700 + 200) = 1400 Total units produced by companies A, B and C = 800 + 1000 + 400 = 2200

∴ Required % = 1400 7100 63 %2200 11

× =

54. (5) Required ratio = (400 500) 900 9 : 7(500 200) 700

+= =

+

55. (4) The total units produced by companies C, D and E = 400 + 700 + 900 = 2000 units The total units sold by companies B, C and F = 700 + 200 + 200 = 1100 units

Required % = 2000 1100 9100 81 %1100 11−

× =

56. (5) Answer can not be found by given data.

57. (3) For P in 2009 and 2012 impor > export and for Q in (2007, 2009, 2010, 2011 and 2012) export > import.

58. (2) In the year 2008 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 2008 is minimum.

59. (1) In 2012, Export 0.8Import

=

∴ Import = 15 75 lakhs0.2

=

∴ Export = 0.8 × import = 0.8 × 75 = 60 lakhs.

60. (5) In 2007, E 1.5I=

Export decreased by 20%.

14EE5

∴ =

And import increased by 20%.

∴ Import = 16II5

=

1

1

E 4E 5 2 E 2 1.5 1.0I 5 6I 3 I 3

⇒ = × = × = × =

61. (1) From I, 2 4 8y x x3 3 9

= × =

From II, y = 24.1 – 19.6 = 4.5 Put the value of y = 4.5 in Eq. I,

3 24.5 x4 3× =

40.5x 5.068

⇒ = =

So, x > y 62. (3) From I and II,

10.5y 1.756

= =

Put the value of y = 1.75 in Eq. I, 4x + 2(1.75) = 8.5 ⇒ 4x + 3.5 = 8.5 ⇒ 4x = 5

5x 1.254

∴ = =

So, x < y 63. (2) From I, 33x 10648 22 22 22= = × × ∴ x = +22 From II, y 484 22= ± = ± So, x y ( 22 22)≥ ≥ ± 64. (4) From I, x2 + 17x + 72 = 0 ⇒ x2 + 9x + 8x + 72 = 0

4x + 2y = 8.52(2x + 4y = 9.5) 4x + 8y = 19 4x + 8y = 19 4x + 2y = 8.5

6y = 10.5

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⇒ x(x + 9) + 8(x + 9) = 0 ⇒ (x + 9)(x + 8) = 0 ∴ x = –8 or –9 Form II, y2 + 15y + 56 = 0 ⇒ y2 + 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) ? = 73% of 8523 + 32% of 6245

73 32? 8523 6245100 100

= × + ×

= 6221.79 + 1998.40 = 8220.19 66. (1) 3 3? 804357 93 93 93 93= = × × = 67. (5) (3?)? = 19683

2(?) 9(3) 3⇒ =

2? 9 ? 3⇒ = ⇒ = 68. (3) ? = (563% of 808) ÷ 129

563? 808 129 4549.04 129100

⇒ = × ÷ = ÷

∴ ? = 35.26 = 35 (approx.) 69. (2) ? = (632.46)2 = 400005.65 = 400000 (approx.) 70. (5) ? = (629.715 – 238.938) × 8.451 = (390.777) × 8.451 = 3302.46 = 3300 (approx.) 71. (2) ? = 1.65% of 310 + 1.75% of 430

1.65 310 1.75 340100 100× ×

= + = 5.115 + 7.525 = 12.64

72. (4) ? = 30% of 27

of 29

of 25

of 23

of 9450

= 30% of 16 9450945

×

= 30% of 160 = 48

73. (3) 361 ?? 289

=

2 2 2(?) 361 289 (19) (17)⇒ = × = × ? 19 17 323⇒ = × = 74. (3) 15625 = (x2)3 ⇒ (x2)3 = 15625 = (5)6 ⇒ x6 = 56 ∴ x = 5.

75. (3)

2 25 31 1 ? 5

1024 343

− −

+ = ×

2 25 3

5 31 1 ? 54 7

− −

⇒ + = ×

2 24 7 ? 5⇒ + = × 16 49 ? 5 65 ? 5⇒ + = × ⇒ = ×

65? 13.5

∴ = =

76. (5)

Right number = 37.5, Wrong number = 47.5 77. (3)

Right number = 21 + 7 = 28, Wrong number = 27. 78. (2)

Right number = 190 + 41 = 231, Wrong number =

233. 79. (2) Suppose required small numer is x. ∴ x × (x + 1) = 1980 ⇒ x2 + x – 1980 = 0 ⇒ x2 + 45x – 44x – 1980 = 0 ⇒ x(x + 45) – 44(x + 45) = 0 ⇒ (x – 44) (x + 45) = 0 x = 44. So, smallest number is 44.

80. (1) 11.10 100 75 27.7555 25 100

×× =

−

7.5 37.5 87.5 157.5 247.5 357.5 487.5

+30 +50 +70 +90 +110 +130

13 16 21 28 39 52 69

+3 +5 +7 +11 +13 +17

66 91 120 153 190 231 276

+25 +29 +33 +37 +41 +45

+4 +4 +4 +4 +4

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