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RANKING AND SEQUENCE

1. Madan is taller than Shyam, who is shorter than Rohit. Vipin is taller than Akash. Ahmed is shorter than Vivek. NeitherVipin nor Vivek is the tallest. If Rohit is standing second in decreasing order of height, who will stand in the middle in thegroup of these seven persons?1) Vipin 2) Vipin or Vivek 3) Ahmed 4) Ahmed or Shyam5) Can’t be determined

2. Ajit is fatter than Ranjit who is thinner than Bhushan. Mohan is thinner than Ajit but fatter than Bhushan. Two other menare fatter than Ajit. Who is the thinnest?1) Ajit 2) Ranjit 3) Bhushan 4) Mohan 5) None of these

3. In a class of 180, where girls are twice the number of boys, Rupesh, a boy, ranked thirty-fourth from the top. If there areeighteen girls ahead of Rupesh, how many boys are after him in rank?1) 45 2) 44 3) 60 4) Can’t be determined 5) None of these

4. In a class Seema is 10th from the top and Bablee is 20th from the bottom. Raju is 11 ranks below Seema and 21 ranks aboveBablee. How many students are in the class if list includes all the students of the class?1) 60 2) 61 3) 62 4) Data inadequate 5) None of these

5. Jagan is eighth from the bottom and fourteenth from the top. There are fifteen boys between the first student and the laststudent. How many girls are there?1) 17 2) 21 3) Data Inadequate 4) It is not possible5) None of these

6. A, B, C, D and E are sitting around a circular table. C is to the right of A and is second to the left of D. E is not the onlyone between A and D. Who is second to the left of C?1) E 2) B 3) D 4) Data inadequate 5) None of these

7. In a row of children standing facing South, Sunita is twenty-eighth from the left end and Karamvir is thirty-third from theright end. When Sunita is shifted five places towards right and Karamvir seven places left, then there are twenty childrenbetween them. How many children are standing in the row?1) 93 2) 69 3) 95 4) Data inadequate 5) None of these

8. Fourteen students are standing in a row from left to right. After the exchange of positions if the first student is shifted tothe thirteenth position, the second student to the fourteenth position, the third student to the eleventh position and soon; then what will be the position of Bablu after interchange if his position was sixth initially?1) Tenth from left 2) Ninth from right 3) Fifth from left 4) Sixth from right 5) None of these

9. In a row of boys facing north Ravi is thirteenth from the left. When shifted to his right by three places, he becomesseventeenth from the right end of the row. How many boys are there in the row?1) 32 2) 33 3) 31 4) Data inadequate 5) None of these

10. Six friends P, Q, R, S, T and U are sitting around a circular table facing towards centre. The angle made at the centre of thecircle by the straight lines from P and Q is 180°; from Q and R is 120°; from R and S 180°. T is not sitting on the immediateleft of R while R is not on the immediate right of P. On the basis of the above information which of the followingstatements is definitely true?1) R is sitting between P and S. 2) T is sitting between P and U.3) Q is sitting between S and U. 4) T and R are sitting opposite each other.5) None of these

11. Three persons P, Q and R are standing in a queue. There are five persons between P and Q and eight other personsbetween Q and R. If there are three persons ahead of R and 21 persons behind P, what could be the minimum number ofpersons in the queue?1) 40 2) 43 3) 47 4) 48 5) None of these

12. In a row of boys and girls there are less than 50 students. Ravi is at 26th from one end while Sima is 22nd from anotherend. If there are 19 students between Ravi and Sima than how many students are there in the row?1) Can’t say 2) 26 3) 27 4) 28 5) None of these

13. Ravi is sixteenth from the front in a column of boys. There are twice as many behind him as there are in front. How manyboys are there between Ravi and fifth boy from the end of the column?1) Can’t be determined 2) 25 3) 10 4) 26 5) None of these

14. Ramesh is 27th from the left end of a row of 79 boys and Rupesh is 27th from the right end in the same row. How manyboys are there between them in the row?1) 27 2) 26 3) 25 4) 24 5) None of these

15. If Raju finds that he is 12th from the right in a row of boys and 4th from the left, how many boys should be added to therow such that there are 28 boys in the row?1) 11 2) 12 3) 13 4) 14 5) None of these

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16. In a row of girls, Purnima is eighth from the right and Bhavana is twelfth from the left. When Purnima and Bhavanainterchange positions, Bhavana becomes twenty-first from the left. Which of the following will be Purnima’s newposition from the right?1) 8th 2) 17th 3) 21st 4) Data inadequate 5) None of these

17. Rita stands third in a row of twenty students, arranged in ascending order of height. Five new students join the group, alltaller than Rita. What will be Rita’s position if the students are now arranged in descending order of their heights?1) 22nd 2) 23rd 3) 18th 4) Data inadequate 5) None of these

18. Three persons P, Q and R are standing in a queue. There are eight persons between P and Q and twelve persons betweenQ and R. If there be seven persons ahead of R and twenty-eight persons behind P, what could be the minimum numberof persons in the queue?1) Data inadequate 2) 57 3) 40 4) 42 5) None of these

19. In a class Vidya ranks 7th from the top, Divya is 7 ranks ahead of Medha and 3 ranks behind Vidya. Sushama, who is 4thfrom the bottom, is 32 ranks behind Medha. How many students are there in the class?1) 52 2) 49 3) 50 4) 51 5) None of these

20. In a class Smita is 6th from the top and Harsha is 18th from the bottom. Mangesh is 14 ranks below Smita and 15 ranksabove Harsha. How many students are there in the class?1) 55 2) 53 3) 52 4) Data inadequate 5) None of these

21. Out of the five car manufacturing companies A, B, C, D and E, the production of company B is more than that of companyA but not more than that of company E. Production of company C is more than the production of company B but not asmuch as the production of company D. Considering the information to be true, which of the following is definitely true?1) Production of company D is highest of all the five companies.2) Company C produces more number of cars than Company E.3) The numbers of cars manufactured by companies E and C are equal.4) Company A produces the lowest number of cars.5) None of these

22. Rajnish is older than Rajesh and Raman. Ramesh is older than Rajesh but younger than Rajeev. Raman is older thanRajeev. Who among them is oldest?1) Rajeev 2) Rajesh 3) Rajnish 4) Ramesh 5) None of these

23. A, B, C, D and E, when arranged in descending order of their weight from top, A becomes third, E is between D and A, Cand D are not at the top. Who among them is the second?1) C 2) B 3) E 4) Data inadequate 5) None of these

24. If Anju is taller than Rohini but shorter than Manju and Rohini is as tall as Sarayu but taller than Shubhangi, then Sarayuis1) taller than Manju 2) shorter than Anju 3) as tall as Anju4) shorter than Shubhangi 5) is shorter than Rohini

25. Mohan and Suresh study in the same class. Mohan has secured more marks than Suresh in the terminal examination.Suresh’s rank is seventh from top among all the students in the class. Which of the following is definitely true?1) Mohan stood first in the terminal examination.2) There is at least one student between Mohan and Suresh in the rank list.3) There are at the most five students between Mohan and Suresh in the rank list.4) Suresh is five ranks lower than Mohan in the rank list 5) None of these

26. Among four persons, B is taller than C. A is taller than D, but not as tall as C. Who among them is the tallest?1) A 2) B 3) C 4) Data inadequate 5) None of these

27. In a unit test Suman’s marks in Mathematics is more than her marks in History but not more than Geography. Her marksin Science is more than that in History but not as much as in Mathematics and her marks in English is not as much as inGeography. In which of the given subjects did she score the lowest?1) History 2) English 3) Science 4) Data inadequate 5) None of these

28. Five friends A, B, C, D and E are standing in a row facing South but not necessarily in the same order. Only B is betweenA and E, C is immediate right to E, and D is immediate left to A. On the basis of above information, which of the followingstatements is definitely true?1) B is to the right of E 2) A is second to the left of C3) D is third to the left of E 4) B is to the left of A5) None of these

29. Ten boys are standing in a row facing the same direction. Abhijit, who is seventh from the left end of the row, is to theimmediate right of Sushant, who is fifth from the right end of the row. Sushant is third to the right of Rupin. How manychildren are there between Abhijit and Rupin?1) One 2) Two 3) Three 4) Data inadequate 5) None of these

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30. In a row of children standing facing South, Nidhi is seventh from the left end and Rajan is fourth from the right. WhenNidhi is shifted two places towards right and Rajan three places left, then there are five children between them. Howmany children are standing in the row?1) 25 2) 21 3) 19 4) Data inadequate 5) None of these

31. Fifteen children are standing in a row facing north. Ravi is to the immediate left of Prabha and is eighth from the left end.Arjun is second from the right end. Which of the following statements is not true?1) Prabha is 7th from right end.2) There are four children between Prabha and Arjun.3) There are five children between Ravi and Arjun.4) Arjun is 13th from the left end.5) Ravi is exactly in the middle.

32. P, Q, R, S and T are sitting around a circular table. R is to the right of P and is second to the left of S. T is not between Pand S. Who is second to the left of R?1) S 2) T 3) Q 4) Data inadequate 5) None of these

33. In a row of boys Akash is fifth from the left and Nikhil is eleventh from the right. If Akash is twenty-fifth from the rightthen how many boys are there between Akash and Nikhil?1) 14 2) 13 3) 15 4) 12 5) None of these

34. Haresh is 27th from the left end of a row of 49 boys and Mahesh is 27th from the right end in the same row. How manyboys are there between them in the row?1) 6 2) 3 3) 5 4) Data inadequate 5) None of these

35. Anup is fifteenth from the front in a column of boys. There are thrice as many behind him as there are in front. How manyboys are there between Anup and the seventh boy from the end of the column?1) 33 2) 35 3) 34 4) Data inadequate 5) None of these

36. Arun is fifth from the left end and Navin is twelfth from the right end in a row of children. If Navin shifts by three placestowards Arun he becomes tenth from the left end. How many children are there in the row?1) 21 2) 22 3) 23 4) 24 5) None of these

37. If Nikhil is eleventh from the left in a row of boys, Rehaman is fourteenth from the right, how many boys are there in therow?1) 25 2) 23 3) 36 4) Data inadequate 5) None of these

38. In a row of girls, Ravina is 15th from the left and Mohini is 18th from the right. If they interchange their places, Mohinibecomes 15th from the left. How many girls are there in the row?1) 33 2) 48 3) 47 4) Data inadequate 5) None of these

39. In a row of boys facing north, Sudhanshu is twelfth from the left. When shifted to his right by four places, he becomeseighteenth from the right end of the row. How many boys are there in the row?1) 32 2) 33 3) 34 4) Data inadequate 5) None of these

40. In a row of trees, one tree is fifth from either end of the row. How many trees are there in the row ?1) 8 2) 9 3) 10 4) 11 5) None of these

41. In a queue, Amrita is 10th from the front while Mukul is 25th from behind and Mamta is just in the middle of the two. Ifthere be 50 persons in the queue, what position does Mamta occupy from the front ?1) 20th 2) 19th 3) 18th 4) 17th 5) None of these

42. Rita ranks sixteenth from the top and forty ninth from the bottom in a class. How many students are there in the class ?1) 64 2) 65 3) 66 4) Cannot be determined 5) None of these

43. Sanjeev ranks seventh from the top and twenty eighth from the bottom in a class. How many students are there in theclass ?1) 37 2) 36 3) 35 4) 34 5) None of these

44. If Atul finds that he is twelfth from the right in a line of boys and fourth from the left, how many boys should be addedto the line such that there are 28 boys in the line ?1) 12 2) 13 3) 14 4) 20 5) None of these

45. Manisha ranked sixteenth from the top and twenty ninth from the bottom among those who passed an examination. Sixstudents did not participate in the competition and five failed in it. How many students were there in the class?1) 40 2) 44 3) 50 4) 55 5) None of these

46. Aruna ranks twelfth in a class of forty-six. What will be her rank from the last ?1) 33 2) 34 3) 35 4) 37 5) None of these

47. Ravi is 7 ranks ahead of Sumit in a class of 39. If Sumit’s rank is seventeenth from the last, what is Ravi’s rank from thestart ?1) 14th 2) 15th 3) 16th 4) 17th 5) None of these

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48. In a class of 60, where girls are twice that of boys, Kamal ranked seventeenth from the top. If there are 9 girls ahead ofKamal, how many boys are after him in rank ?1) 3 2) 7 3) 124) 23 5) None of these

49. In a row of ten boys, when Rohit was shifted by two places towards the left, he became seventh from the left end. Whatwas his earlier position from the right end of the row?1) First 2) Second 3) Fourth4) Sixth 5) None of these

50. In a queue, Vijay is fourteenth from the front and Jack is seventeenth from the end, while Mary is in between Vijay andJack. If Vijay be ahead of Jack and there be 48 persons in the queue, how many persons are there between Vijay andMary?1) 8 2) 7 3) 6 4) 5 5) None of these

51. In a row of girls, Rita and Monika occupy the ninth place from the right end and tenth place from the left end, respec-tively. If they interchange their places, Rita and Monika occupy seventeenth place from the right and eighteenth placefrom the left, respectively. How many girls are there in the row ?1) 25 2) 26 3) 274) Data inadequate 5) None of these

52. In a row of girls, Shilpa is eighth from the left and Reena is seventeenth from the right. If they interchange their positions,Shilpa becomes fourteenth from the left. How many girls are there in the row ?1) 25 2) 27 3) 29 4) 30 5) None of these

53. In a queue of children, Kashish is fifth from the left and Mona is sixth from the right. When they interchange their placesamong themselves, Kashish becomes thirteenth from the left. Then, what will be Mona’s position from the right ?1) 4th 2) 8th 3) 14th 4) 15th 5) None of these

54. In a row of boys, Kapil is eighth from the right and Nikunj is twelfth from the left. When Kapil and Nikunj interchangepositions, Nikunj becomes twenty first from the left. Which of the following will be Kapil’s position from the right?1) 8th 2) 17th 3) 21st 4) Cannot be determined 5) None ofthese

55. Three persons A, B and C are standing in a queue. There are five persons between A and B and eight persons betweenB and C. If there be three persons ahead of C and 21 persons behind A, what could be the minimum number of personsin the queue ?1) 41 2) 40 3) 284) 27 5) None of these

56. In a row of 29 boys Vijay is at seventeenth position from the left end while Manish is seventeenth from the right end. Howmany boys are there between Vijay and Manish?1) 5 2) 6 3) 3 4) Cannot be determined 5) None of these

Federal Bank PO - 200357. In a class of 15 students, Kiran and Johar are ranked at equal distances from the top and the bottom respectively. Shashi

is ranked exactly in between the two. If Shashi is placed 8th from the top, what is Kiran’s rank from the bottom?1) 3 2) 10 3) 8 4) Data inadequate 5) 13

58. Six persons are seated in a circle, facing the centre of the circle. Suma is between Nisha and Chitra. Kavita is betweenNancy and Shobha. Nancy is immediate left to Nisha. Who is immediate right to Nisha?1) Kavita 2) Nancy 3) Shobha4) Chitra 5) None of these

59. In a row of 24 boys, when Ajay was shifted by 4 places towards left, he became 8th from the left end. What was his earlierposition from the right end of the row?1) 12th 2) 13th 3) 14th4) 15th 5) None of these

60. In a row of boys, Chandu is 16th from left and 21st from right. How many boys are there in the row?1) 37 2) 36 3) 354) Cannot be determined 5) None of these

61. In a row, Rama is twelfth from the left end, Ramu is 19th from the right end. After their places are interchanged, Ramabecomes 21st from the left end. How many students are there in the row?1) 52 2) 40 3) 394) Data inadequate 5) None of these

62. In a row of students Raju is eighth from the right and Rani is sixteenth from the right. How many students are there in thatrow?1) 22 2) 23 3) 24

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4) Data inadequate 5) None of these63. In a row of boys Ramesh is 16th from the right and Sidhu is 13th from the left. When they interchange their positions,

Ramesh becomes 25th from the right. How many boys are there in the row?1) 39 2) 37 3) 38 4) 41 5) None of these

64. Six friends A, B, C, D, E and F start climbing a hill together. After some time it is observed that ‘D’ has reached a positionhigher than ‘B’ but not as high as ‘E’. ‘C’ is at a position not higher than ‘D’ and not lower than ‘A’, who is not lower than‘F’ and not higher than ‘B’. Who has climbed the highest position?1) D 2) E 3) B4) Cannot be determined 5) None of these

65. In a row of girls standing from left to right facing North, Sushma is fifteenth from the left. Sushma, when shifted to herright by three places, becomes third to the left of Rubina, who is seventeenth from the right. How many girls are standingin the row?1) 37 2) 36 3) 38 4) Data inadequate 5) None of these

66. Some persons are standing in a queue. A child is standing 14th from the left and a woman is standing 8th from the right.If there are four persons between the child and the woman, how many persons are there in the queue?1) 25 2) 26 3) 27 4) 29 5) 30

67. There are five books of different thickness. A is thicker than C and B is thicker than D. E is not as thick as B, but is thickerthan C. D is not as thick as C. Which is the thinnest book?1) E 2) D 3) B 4) C 5) None of these

68. In a race in which 129 boys participated, Mayank said, “I was 17th from the last.” What was Mayank’s position from thetop?1) 111th 2) 112th 3) 113th4) 114th 5) 110th

69. Raman is stronger than Madan but not as strong as Gopal. Sripal is stronger than Gopal but not as strong as Amar. Amaris weaker than Tarun but not as weak as Barun. Who is the strongest?1) Madan 2) Amar 3) Tarun4) Brun 5) Sripal

70. In a row of 24 boys, when Janki was shifted by 4 places towards left, she became 8th from the left end. What was herearlier position from the right end of the row?1) 12th 2) 13th 3) 14th 4) 15th 5) None of these

71. In a row of children Nidhi is twelfth from left end and Radha is sixth from right end. When Radha is shifted to left by twoplaces and Nidhi is shifted to right by two places there are six children between Radha and Nidhi. How many children arethere in the row?1) 23 2) 27 3) 26 4) 28 5) None of these

72. Amita is taller than Rita but not as tall as Sapna, who is shorter than Farida. Sumedha is shorter than Farida but not asshort as Rita. Who is the shortest among them?1) Amita 2) Sumedha 3) Rita4) Can’t be determined 5) None of these

73. Mitali, a student of VIIIth standard, ranks eighth when put in class VIII A, ranks fifth when put in class VIII B, and rankssixth when put in class VIII C. What will be Mitali’s rank if students of all the three sections are put together?1) 17th 2) 16th 3) 15th4) Can’t be determined 5) None of these

74. In a class 32 students disqualify in a test. Abhishek ranks 15th from the top and 19th from the bottom among the qualifiedstudents. How many students are there in the class?1) 66 2) 67 3) 64 4) 65 5) None of these

75. State B is better than State C but not as good as State A, which is worse than State E. State G is not as good as State Eand not as bad as State A. How many states are better than State G?1) One 2) Two 3) Three4) Data inadequate 5) None of these

76. Rajeev ranks 12th from the top and Krishna ranks 26th from the bottom. If there are five students between them, then howmany students are there in the class?1) 41 2) 42 3) 444) 45 5) None of these

77. Praveen, Shambhavi, Ajit, Mayur and Neela work in the same factory. Neela joined the factory before Ajit but afterShambhavi. Praveen started working in the factory before Shambhavi but after Mayur. Who is the seniormost amongthem?1) Praveen 2) Shambhavi 3) Neela

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4) Ajit 5) Mayur78. There are two rows of students just opposite of one another having 15 students each. Sucheta is in middle in one of

these two rows while Shamika is at the fourth position to the left of Sucheta in the second row. If the row of Shamikabegins from her left then who is her position?1) Eleventh 2) Third 3) Twelfth4) Fourth 5) None of these

79. 13 students are standing in a horizontal row from left to right. If all the odd-numbered students in the row are shifted tothe successive odd-numbered positions, what will be the position of Shishir, who was seventh in the row initially?1) Ninth from right 2) Fifth from left 3) Fifth from right4) Eighth from left 5) None of these

80. In a row of boys Ramanuj is 16th from the right end and Sidhu is 13th from the left end. When they interchange theirpositions Ramanuj becomes 25th from the right end. How many boys are there in the row?1) 39 2) 37 3) 38 4) 41 5) 40

81. 14 students are standing in a row from left to right. After interchanging their positions, first student goes at 14th place,2nd goes at 13th place, 3rd goes at 12th and so on. If Ravindra was at sixth position before change, then after changinghe would be at which place?1) Tenth from left 2) Ninth from right 3) Fifth from left4) Sixth from right 5) Seventh from right

82. In a row of boys standing from left to right facing North, Mohan is tenth from the left but when shifted to his right by fiveplaces, he becomes third to the left of Ashok, who is fourteenth from right. How many boys are standing in the row?1) 32 2) 30 3) 31 4) Data inadequate 5) None of these

83. Rakesh obtained more marks than Suresh but less than Santosh. Ramesh obtained more than Rajesh but less thanHarish. Santosh obtained less than Rajesh. Who obtained the highest marks?1) Santosh 2) Rakesh 3) Ramesh4) Rajesh 5) Harish

84. Eight girls sat in a circle. Reena is immediate right of Ritu and immediate left of Shalini. Seema sat after two girls on theright of Shalini. So how many girls were there between Reena and Seema?1) Two 2) Four 3) Three4) Data inadequate 5) None of these

Answers and explanations1. 5; Shyam is shorter than Madan as well as Rohit. In the other group, Vipin and Vivek are taller than Akash and Ahmed

respectively. Now if Rohit or Vipin or Vivek do not occupy the first position it means it is Madan who is the tallest.Second is of course, Rohit. Beyond this we can’t proceed with certainty.

2. 2; A > R .....(i); B > R ..... (ii); A > M.....(iii); M > B .... (iv)Combining them we get A > M > B > RSince the other two are fatter than A, obviously R is the thinnest.

3. 24. 2;

Seema (10th from the top)

10students21

students

Raju (21st from the top)

Bablee (42nd from the topand 20th from the bottom)

Thus, total number of students can be calculated easily by Bablee’s position from the top and the bottom.∴ Required number of students= 42 + 20 – 1 = 61

5. 3; 13 students |

Jagan |7 students

Total no. of students = 13 + 7 + 1 = 21,Total no. of boys between 1st and the last is 15, but we do not know whether the 1st and the last are boys or girls, so

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data inadequate.6. 27. 4; There are two possibilities.8. 1; 1 13

2 143 114 125 96 10

9. 1; 13 + 3 + 17 - 1 = 3210. 3; The seating arrangement is as follows:

P R

UT

S Q

11. 1;21

P5

Q8 3

R

Total number of persons in the queue= 21 + 1(P) + 5 + 1 (Q) + 8 + 1(R) + 3 = 40

12. 3;

Total number of students = 19 + (26 - 19 -2) + (22 - 19 - 2) + 2 = 2713. 2;

15 students 30 studentsRavi∴

Total boys = 15 + 1 + 30 = 46∴

Total boys between Ravi and the fifth boy from the end = 46 – 16 – 5 = 2514. 3; 79 – (27 + 27) = 2515. 3; Total boys in the row

= 12 + 4 – 1 = 15Hence (28 – 15 =) 13 boys should be added to the row.

16. 2;Bhavana Purnima

→

←

12th from the left 8 girls 8th from the rightTotal number of girls = 12 + 8 + 8 = 28New position of Purnima from the right = (8 + 8 + 1)th = 17th.

17. 2; Rita stands third in a row of twenty students, arranged in ascending order of height. This implies Rita standseighteenth in the row if these twenty students are arranged in descending order of their heights. Now when fivestudents taller than Rita join the row, Rita’s new position will be twenty-third, arranged in descending order of height.

18. 3

Seven persons R x persons P Eight persons Q

12 persons

28 persons

Hence, the required number of persons= 7 + 1(R) + 3 (persons between R and P)+ 1(P) + 28 = 40

Note: If you follow the order R – Q – P in that case the number of total students becomes 58. Hence, the order R – Q –P is ruled out because 58 > 40.

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19. 1; 6 stu. [V] 2 stu. [D] 6 stu. [M] 31 stu. [S] 3 students ——– 7th —— 10th —— 17th ——– 49th ———–∴ 49 + 3 = 52 students.

20. 3; ________________________________________ 5 stu Smi 13 stu Man 14 stu Har 17 stu(5 + 1 + 13 + 1 + 14 + 1 + 17 =) 52 students

21. 4; E > B > A ... (i); D > C > B ... (ii)22. 3; Rajnish > Rajesh, Raman ... (i); Rajeev > Ramesh > Rajesh ... (ii)

Raman > Rajeev ... (iii)Combining all, we get Rajnish > Raman > Rajeev > Ramesh > Rajesh

23. 1; - - - - -- - A - -D E A - - [It is not possible as D is not at the top.]- - A E DB C A E DHence, C is second among them.

24. 2; Manju > Anju > Rohini = Sarayu > Shubhangi25. 326. 2; When we arrange the given information, we get B > C > A > D. Therefore, B is the tallest.27. 4; Geog > Math > Hist ... (i); Math > Sci > Hist ...... (ii); Geog > Eng .............. (iii)

Thus the lowest score was either in History or in English.28. 3; D A B E C29. 3; _________________________________

R S A30. 2; Total no. of children = (7 + 4 + 2 + 3 + 5 =) 2131. 4; 8th 9th 14th

Ravi Prabha Arjun32. 3;

Q is second to the left of R.33. 2; There are (25 - 11 - 1 =) 13 boys between Akash and Nikhil.34. 2; Since Harsh is 27th from the left, then he is 49 - 27 + 1 from the right, ie 23rd from the right. Again, since Mahesh is 27th

from the right, therefore there are three boys between them in the row.35. 2; Since Anup is 15th from the front, it implies that 14 boys were in front of him. It is given there are thrice as many behind

him as there are in front. Hence, 42 boys are behind him. Thus total boys in the column = 42 + 15 = 57Hence, number of boys between Anup and the seventh boy from the end of the column = 57 - 15 - 7 = 35

36. 4; Total number is children = 12 + 3 + 10 - 1 = 2437. 4; We do not have information regarding the number of persons between Nikhil and Rehaman.38. 4; We still need some more information.39. 2; 12 + 4 + 18 - 1 = 3340. 2; Clearly, number of trees in the row = (4 + 1 + 4) = 9.41. 3; Number of persons between Amrita and Mukul = 50 - (10 + 25) = 15.

Since, Mamta lies in middle of these 15 persons, so Mamta’s position is 8th from Amrita i.e. 18th from the front.42. 1; Clearly, number of students in the class = (15 + 1 + 48) = 64.43. 4; Clearly, number of students in the class = (6 + 1 + 27) = 34.44. 2; Clearly, number of boys in the line = (11 + 1 + 3) = 15

Number of boys to be added = 28 - 15 = 13.45. 4; Number of boys who passed = ( 15 + 1 + 28) = 44

Total number of boys in the class = 44 + 6 + 5 = 55.46. 3; Number of students behind Aruna in rank = (46 - 12) = 34

9

So, Aruna is 35th from the last.47. 3; Sumit is 17th from the last and Ravi is 7 ranks ahead of Sumit. So, Ravi is 24th from the last.

Number of students ahead of Ravi in rank = (39 - 24) = 15.So, Ravi is 16th from the start.

48. 3; Let the number of boys be x. Then, number of girls = 2x.

∴

x + 2x = 60 or 3x = 60 or x = 20.So, number of boys = 20 and

number of girls = 40.Number of students behind Kamal in rank

= (60 - 17) = 43.Number of girls ahead of Kamal in rank = 9.Number of girls behind Kamal in rank

= 40 - 9 = 31.

∴

Number of boys behind Kamal in rank = 43-31 = 12,49. 2; Number of boys in the row = 10.

Rohit’s new position is 7th from the left or 4th from the right.His earlier position was two places to the right of his new position i.e., his earlier position was second from the right.

50. 2; Number of persons between Vijay and Jack= 48 - (14 + 17) = 17.

Now, Mary lies in middle of these 17 persons i.e., at the eighth position.So, number of persons between Vijay and Mary = 7.

51. 2; Since, Rita and Monika exchange places, so Rita’s new position is the same as Monika’s earlier position.This position is 17th from the right and 10th from the left.

∴

Number of girls in the row = (16 + 1 + 9) = 26.52. 4; Since, Shilpa and Reena interchange positions, so Shilpa’s new position is the same as Reena’s earlier position.

This position is 14th from the left (Shilpa’s new position) and 17th from the right (Reena’s earlier position).53. 3; Since, Kashish and Mona interchange places, so Kashish’s new position (13th from left) is the same as Mona’s earlier

position (6th from right).So, number of children in the queue

= (12 + 1 + 5) = 18.Now, Mona’s new position is the same as Kashish’s earlier position i.e., fifth from left.

∴

Mona’s position from the right= 18-4 = 14th.

54. 2; Since, Kapil and Nikunj interchange places, so Nikunj’s new position (21st from left) is the same as Kapil’s earlierposition (8th from right).So, number of boys in the row

= (20 + 1+ 7) = 28.Now, Kapil’s new position is the same as Nikunj’s earlier position i.e., 12th from left.

∴

Kapil’s position from the right= (28 - 11) = 17th.

55. 3;

∴

Three persons A, B, C can be arranged in a queue in six different ways i.e., ABC, CBA, BAC, CAB, BCA, ACB. Butsince there are only 3 persons ahead of C, so C should be in front of the queue. Thus, there are only two possiblearrangements i.e., CBA and CAB. We may consider the two cases as under :

3 8 5 21Case I :

←

C

↔

B AClearly, numberof persons in the queue

= (3 +1+8+1+5+1+21) = 40.

Case II :

218

BAC53

→

↔←

Number of persons between A and C= (8 - 6) = 2.

Clearly, number of persons in the queue= (3 + 1 + 2 + 1 + 21) = 28.

Now, 28 < 40. So, 28 is the minimum number of persons in the queue.56. 3; Number of boys in the row = 29.

10

Position of Vijay from the left end = 17Position of Manish from the left end = (29 + 1 – 17 =) 13Thus, number of boys between Vijay and Manish = 17 – 1 – 13 = 3

57. 458. 5; Suma59. 2; 13th60. 2; (16 + 21 – 1 =) 36 boys are in the row.61. 3; Total no. of students = (21 + 19) – 1 = 39 students.62. 4; The rank of none is known from the left.63. 2; (24 + 1 + 12 =)3764. 2; E > D > B .... (i) D > C > A > F .... (ii) B > A .... (iii)

After combining equations (i), (ii) and (iii), we get that E has climbed the highest position.65. 1; Total no. of girls in the row = (15 + 3 + 3 + 17 – 1) = 3766. 2; Total number of persons = (14 + 4 + 8 =) 2667. 2; A > C .... (i), B > D .... (ii), E < B .... (iii), E > C .... (iv), C > D .... (v)

From (i) & (v), we get, A > C > D .... (I)From (iii) & (iv), we get B > E > C .... (II)From (I) and (II) it is clear that ‘D’ is the thinnest.

68. 3; 129 – 17 + 1 = 11369. 3; From the given information

Gopal > Raman > MadanAmar > Sripal > GopalTarun > Amar > BarunCombining all the above, we getTarun > Amar > Sripal > Gopal > Raman > MadanSince Barun is weaker than Amar, he must be weaker than Tarun. Hence Tarun is the strongest.

70. 2; (24 – 8 – 4 + 1 =) 13th from right end.71. 4; (12 + 6 + 2 + 2 + 6 = ) 28 children72. 3; Farida > Sapna > Amita > Rita .... (i)

Farida > Sumedha > Rita .... (ii)From (i) and (ii), we get Rita is the shortest.

73. 1; (7 + 4 + 5 + 1 =) 17th.74. 4; If Abhishek’s rank is 15th from the top and 19th from the bottom, it means there are (15 + 19 – 1 =) 33 students who

qualified + 32 disqualified, so 65 students.75. 1; E > A > B > C .... (i) E > G > A .... (ii)

Combining (i) and (ii), we get E > G > A > B > C.Hence only state E is better than state G.

76. 5; There are (26 + 12 + 5 =) 43 students in the class.77. 5; Shambhavi > Neela > Ajit .... (i)

Mayur > Praveen > Shambhavi .... (ii)Combining (i) and (ii), we getMayur > Praveen > Shambhavi > Neela > AjitHence, Mayur is the seniormost among them.

78. 3; Shucheta is in the middle in a row of 15.

∴ Her position =

∴ Shamika’s position = 8 + 4 = 12th79. 3; Ninth from the left = Fifth from the right.80. 2; (24 + 1 + 12 =) 37 boys.81. 482. 3; Total no. of boys (10 + 5 + 3 14 – 1 =) 3183. 5; Santosh > Rakesh > Suresh .... (i)

Harish > Ramesh > Rajesh > Santosh .... (ii)Combining (i) and (ii), we haveHarish > Ramesh > Rajesh > Santosh > Rakesh > Suresh

84. 3;

11

Shalini

Reena

Ritu

Seema

12

13

14

15