VERBAL AND NON VERBAL REASONING: May 2011

PART –I

VERBAL REASONING

SECTION I-GENERAL MENTAL ABILITY

CHAPTER 1

SERIES COMPLETION

This chapter consists of questions in which series of numbers or alphabetical letters or combinations of both are given,which are generally called the terms of series. These terms follow a certain pattern throughout the series.The candidate is required to study the given series,identify the pattern followed in the series and either complete the given series with the most suitable alternative or find the wrong term in the series.

TYPE 1 : NUMBER SERIES

Case 1 : Completing the given series by finding the missing terms.

Directions : Find the missing terms in each of the following series.

Ex. 1. 1,6,15,?,45,66,91

(a)25(b) 26(c) 27(d) 28

Soln. Clearly, the given sequence follows the pattern :

+5,+9,+13,+17,+21,+25,……

Thus, 1+5=6,6+9=15,…..

So, missing terms=15+13=28.

Hence, the answer is (d).

Ex. 2. 2,5,9,19,37,?

(a) 73 (b) 75 (c) 76 (d) 78

Soln. Clearly, we have : 2x2+1=5,5x2-1=9,9x2+1=19,19x2-

1=37,.

So, missing terms=37x2+1=75.

Hence, the answer is (b).

Ex. 3. 4,8,28,80,244,?

(a) 278 (b) 428 (c) 628 (d) 728

Soln. The terms of the given series are : 3¹+1,3²-2,3³+1,3⁴-

1,3⁵+1

So,missing terms=3⁶-1=729-1=728

Hence, the answer is (d).

Ex. 4. 10000,11000,9900,10890,9801,?.

(a) 10241 (b) 10423 (c) 10781 (d) 10929

Soln. Clearly,alternately we add and subtract 10% of a term to

obtain the next term of the series .

Thus, 10000+(10% of 10000)=11000;

11000-(10% of 11000)=9900

9900+(10% of 9900)=10890;

10890-(10% of 10890)=9801;

So,missing term=9801+(10% of 9801)=9801+980=10781.

Hence, the answer is (c).

Ex.5. 0,6,24,60,120,210,?

(a) 240 (b) 290 (c) 336 (d) 504

Soln. Clearly,the given series is : 1³-1,2³-2,3³-3,4³-4,5³-5,6³-6

So, Missing term =7³-7=343-7=336

Hence, the answer is (c).

Ex.6. 1,4,27,16,?,36,343

(a) 25 (b) 87 (c) 120 (d) 125

Soln. Clearly,the given series consists of cubes of odd number

and square of even number. i.e. 1³,2²,3³,4²,…..

So, missing term=5³=125

Hence, the answer is (d).

Ex.7. 4,6,12,14,28,30,?

(a) 32 (b) 60 (c) 62 (d) 64

Soln. The given sequence is a combination of two series :

I. 4,12,28,? And II. 6,14,30,…..

Now, the pattern followed in each of the two above series is : +8, +16, +32,…….

So, missing no =(28+32)=60.

Hence ,the answer is (b).

Ex.8. 1,3,3,6,7,9,?,12,21

(a) 10 (b) 11 (c) 12 (d) 13

Soln . Clearly, the given sequence is a combination of two series :

I.1,3,7,?,21 and II. 3,6,9,12

The pattern followed in I is +2,+4,……. And the pattern in

II is +3,.

So, missing no is =7+6=13.

Hence , the answer is (d).

Ex.9. which fraction comes next in the sequence

1/2,3/4,5/8,7/16,?

(a) 9/32 (b)10/17 (c) 11/34 (d) 12/35

Soln. Clearly, the numerators of the fractions in the given

sequence form the series 1,3,5,7 in which each

term is obtained by adding 2 to the previous terms.

The denominators of the fractions form the series

2,4,8,16 i.e. 2¹,2²,2³,2⁴

So,the numerator of the next fraction will be (7+2) i.e. 9

and the denominator will be 2⁵

Thus, the next term is 9/32.

Hence , the answer is (a).

Triangular Pattern series :

Sometimes ,the difference between the consecutive terms of a series ,again form a series .The difference between the consecutive terms of the new series so formed , again form a series .This pattern continues till we attain a uniform difference between the consecutive terms of the series.

Ex. 10. Find the missing terms in the series : 3,20, 63,144,275,?

(a) 354 (b) 468 (c) 548 (d) 554

Soln. As discussed above, we may label the given series as

series I and then form series II to IV as

shown below:

Series I : 3 20 63 144 275 ?

Series : 17 43 81 131 ?

Series : 26 38 50 ?

Series : 12 12

Clearly , the pattern in the series III is +2.

So, missing term in the series III=50+12=62.

missing term in the series II =131+62

missing term in the series I = 275 + 193=468.

Thus, the missing term is 468. Hence ,the answer is (b).

Direct Method : Clearly, we have :

Missing term =275 +(131+50+12)=468.

I . Elementary Idea of Progression (A.P.)-- The progression of the form a, a+d,a+2d,a+3d,…… is known as

an A.P. with first term=a and common difference =d.

Ex. 3,6,9,12 ,…… is an A.P. with a=3 and d=6-3=3.

In an A.P. we have nth term = a+(n-1)d.

II.Geometric Progression (G.P.)—The progression of the form a,ar, ar²,ar³,…… is known as a G.P. with

First term =a and common ratio =r.

Ex. 1,5,25,125,…… is a G.P. with a=1 and r=5/1=25/5,……=5.

In a G.P. we have n^th term =arⁿ-1

Ex.11. In the series 357,363,369, …… what will be the 10^th term?

(a) 405 (b) 411 (c) 413 (d) 417

Soln. The given series is an A.P. in which a=357 and d=6.

So, 10^th term =a+(10-1)d=a+9d=(357+9x6)=(357+54)=411

Hence,the ans is (b).

Ex.12. How many terms are dere in the series

201,208,215,…….,369?

(a) 23 (b) 24 (c) 25 (d) 26

Soln. The given series is in A.P. in which a=201 and d=7.

Let the number of terms be n.

Then,369=201+(n-1)x7 or n=25

Hence ,the ans is (c).

Ex.. 13. In the series 7,14,28,……,what will be the 10^th term?

(a) 1792 (b) 2456 (c) 3584 (d) 4096

Soln. Clearly, 7x2=14,14x2=28,….. and so on.

So, the given series is a G.P. in which a=2 and r=2.

So, 10^th term=ar^(10-1)=ar⁹=7x512=3584.

Hence, the ans is (c).

EXERCISE 1A

Directions : In each of the following questions, a number series is given with one term missing.Chosse the correct alternative that will continue the same pattern and replace the questions mark in the given series.

1. 1,9,25,49,?,121.

(a) 64 (b) 81 (c) 91 (d) 100

2. 4,7,12,19,28,?.

(a) 30 (b) 36 (c) 39 (d) 49

3. 11,13,17,19,23,25,?

(a) 26 (b) 27 (c) 29 (d) 37

4. 6,12,21,?,48.

(a) 33 (b) 38 (c) 40 (d) 45

5. 2,5,9,?,20,27

(a) 14 (b) 16 (c) 18 (d) 24

6. 6,11,21,36,56,?

(a) 42 (b) 51 (c) 81 (d) 91

7. 10,18,28,40,54,70,?

(a) 85 (b) 86 (c) 87 (d) 88

8. 120,99,80,63,48,?

(a) 35 (b) 38 (c) 39 (d) 40

9. 22,24,28,?,52,84.

(a) 36 (b) 38 (c) 42 (d) 46

10. 4832,5840,6848,?

(a) 7815 (b) 7846 (c) 7856 (d) 7887

11. 10,100,200,310,?

(a) 400 (b) 410 (c) 420 (d) 430

12. 02,8,14,?,34

(a) 20 (b) 23 (c) 24 (d) 25

13. 28,33,31,36,?,39.

(a) 32 (b) 34 (c) 38 (d) 40

14. 125,80,45,20,?.

(a) 5 (b) 8 (c) 10 (d) 12

15. 1,5,13,25,41,?

(a) 51 (b) 57 (c) 61 (d) 63

16. 2,15,41,80,?

(a) 111 (b) 120 (c) 121 (d) 132

17. 6,17,39,72,?

(a) 83 (b) 94 (c) 116 (d) 127

18. 325,259,204,160,127,105,?.

(a) 94 (b) 96 (c) 98 (d) 100

19. 1,4,10,22,46,?

(a) 64 (b) 86 (c) 94 (d) 122

20. 0.5,0.55,0.65,0.8,?

(a) 0.9 (b) 0.82 (c) 1 (d) 0.95

21. 5,6,9,15,?,40

(a) 21 (b) 25 (c) 27 (d) 33

22. 2,3,5,7,11,?,17

(a) 12 (b) 13 (c) 14 (d) 15

23. 4,9,25,?,121,169,289,361

(a) 49 (b) 64 (c) 81 (d) 87

24. 1,9,25,49,81,?

(a) 100 (b) 112 (c) 121 (d) 144

25. 1,1,4,8,9,27,16,?

(a) 32 (b) 64 (c) 81 (d) 256

26. 4,12,36,108,?

(a) 144 (b) 216 (c) 30 (d) 324

27. 1,1,2,6,24,?,720.

(a) 100 (b) 104 (c) 108 (d) 120

28. 240,?,120,40,10,20

(a) 180 (b) 240 (c) 420 (d) 480

29. 4,6,9,13.1/2,?

(a) 17.1/2 (b) 19 (c) 20.1/4 (d) 22.3/4

30. 5760,960,?,48,16,8.

(a) 120 (b) 160 (c) 192 (d) 240

31. 1,2,6,7,21,22,66,67,?

(a) 70 (b) 134 (c) 201 (d) 301

32. 48,24,96,48,192,?

(a) 76 (b) 90 (c) 96 (d) 98

33. 1,2,3,6,9,18,?,54.

(a) 18 (b) 27 (c) 36 (d) 81

34. 165,195,255,285,345,?.

(a) 375 (b) 390 (c) 420 (d) 435

35. 9,27,31,155,161,1127,?

(a) 316 (b) 1135 (c) 1288 (d) 2254

36. 2,3,3,5,10,13,?,43,172,177

(a) 23 (b) 38 (c) 39 (d) 40

37. 3,15,?,63,99,143

(a) 27 (b) 35 (c) 45 (d) 56

38. 7,26,63,124,215,342,?.

(a) 391 (b) 421 (c) 481 (d) 511

39. 3,7,15,?,63,127.

(a) 30 (b) 31 (c) 47 (d) 52

40. 4,10,?,82,244,730

(a) 24 (b) 28 (c) 77 (d) 218

41. 6,13,25,51,101,?.

(a) 201 (b) 202 (c) 203 (d) 205

42. 8,28,116,584,?.

(a) 1752 (b) 3502 (c) 3504 (d) 3508

43. 6,13,28,59,?.

(a) 111 (b) 113 (c) 114 (d) 122

44. 3,7,23,95,?

(a) 62 (b) 128 (c) 479 (d) 575

45. 2,3,8,27,112,?

(a) 226 (b) 339 (c) 452 (d) 565

46. 1,5,14,30,55,91,?.

(a) 130 (b) 140 (c) 150 (d) 160

47. 198,194,185,169,?.

(a) 92 (b) 112 (c) 136 (d) 144

48. 2,2,5,13,28,?.

(a) 49 (b) 50 (c) 51 (d) 52

49. 2,7,27,107,427,?

(a) 1262 (b) 1707 (c) 4027 (d) 4207

50. 24,60,120,210,?

(a) 300 (b) 336 (c) 420 (d) 525

51. 3,12,27,48,75,108,?

(a) 147 (b) 162 (c) 183 (d) 192

52. 563,647,479,815,?

(a) 672 (b) 386 (c) 279 (d) 143

53. 5,2,7,9,16,25,?

(a) 41 (b) 45 (c) 48 (d) 52

54. 10,14,26,42,70,?

(a) 100 (b) 102 (c) 106 (d) 114

55. 2,8,16,128,?

56. 3,10,101,?.

(a) 10101 (b) 10201 (c) 10202 (d) 11012

57. 589654237,89654237,8965423,965423,?

(a) 58965 (b) 65423 (c) 89654 (d) 96542

58. 5824,5242,?,4247,3823

(a) 4467 (b) 4718 (c) 4856 (d) 5164

59. 1,3,4,8,15,27,?.

(a) 37 (b) 44 (c) 50 (d) 55

60. 66,36,18,?

(a) 3 (b) 6 (c) 8 (d) 9

61. 3,8,13,24,41,?.

(a) 70 (b) 75 (c) 80 (d) 85

62. 45,54,47,?,49,56,51,57,53

(a) 48 (b) 50 (c) 55 (d) none of these

63. 6,18,3,21,7,56,?.

(a) 8 (b) 9 (c) 63 (d) 64

64. 2,15,4,12,6,7,?,?

(a) 8,8 (b) 8,0 (c) 3,8 (d) none of these

65. 20,20,19,16,17,13,14,11,?,?.

(a) 10,10 (b) 10,11 (c) 13,14 (d) 13,16

66. 0,2,3,5,8,10,15,17,24,26,?

(a) 28 (b) 30 (c) 32 (d) 35

67. 13,35,57,79,911,?

(a) 1110 (b) 1112 (c) 1113 (d) 1315

68. 625,5,125,25,25,?,5

(a) 5 (b) 25 (c) 125 (d) 625

69. 3,4,7,7,13,13,21,22,31,34,?

(a) 42 (b) 43 (c) 51 (d) 52

70. 11,10,?,100,1001,1000,10001

(a) 101 (b) 110 (c) 111 (d) none of these

71. 13,32,24,43,35,?,46,65,57,76.

(a) 45 (b) 52 (c) 54 (d) 55

72. 0,4,6,3,7,9,?,12

(a) 8 (b) 10 (c) 11 (d) 14

73. 2,1,2,4,4,5,6,7,8,8,10,11,?.

(a) 9 (b) 10 (c) 11 (d) 12

74. 8,9,8,7,10,9,6,11,10,?,12

(a) 5 (b) 7 (c) 8 (d) 11

75. 90,180,12,50,100,200,?,3,50,4,25,2,6,30,3

(a) 150 (b) 175 (c) 225 (d) 250

76. 2/3,4/7,?,11/21,16/31

(a) 5/9 (b) 6/11 (c) 7/13 (d) 9/17

77. 4/9,9/20,?,39/86.

(a) 17/40 (b) 19/42 (c) 20/45 (d) 29/53

78. 2/ √5,3/5,4/5√5,5/25,?

(a) 6/5√ 5 (b) 6/25√ 5 (c) 6/125 (d) 7/25

79. 11.1/9,12.1/2,14.2/7,16.2/3,?

(a) 8.1/3 (b) 19.1/2 (c) 20 (d) 22.1/3

80. 3,10,29,66,127,?

(a) 164 (b) 187 (c) 216 (d) 218

81. 2,12,36,80,150,?.

(a) 194 (b) 210 (c) 252 (d) 258

82. 2,9,28,?,126,217,344,?

(a) 50 (b) 65 (c) 70 (d) 82

83. In the series 10,17,24,31,38,……..which of the following will be anumber of the series?

(a) 48 (b) 346 (c) 574 (d) 1003

84. Which of the following will not be a number of the series 1,8,27,64,125,?.

(a) 256 (b) 512 (c) 729 (d) 1000

85. In the series 3,9,15,……,what will be the 21^st term?

(a) 117 (b) 121 (c) 123 (d) 129

86. In the series 2,6,18,54,……,What will be the 8^th term?

(a) 4370 (b) 4374 (c) 7443 (d) 7434

87. Which term of the series 5,8,11,14,……. Is 320 ?

(a) 104^th (b) 105^th (c) 106^th (d) 64^th

88. Which term of the series 5,10,20,40,.., is 1280?

(a) 10^th (b) 9^th(c) 8^th (d) none of these

CASE II: Finding the Wrong term in the Given Series.

Ex1.Find the wrong number in the series :

7, 28, 63, 124, 215, 342, 511

(a) 7 (b)28 (c)124 (d)215 (e)342

Sol. Clearly, the correct sequence is :

2³-1,3³-1,4³-1,5³-1,6³-1,7³-1,8³-1

So, 28 is wrong and should be replaced by 3³-1.

Hence, the answer is (b).

Ex2. Find the wrong number in the series :

3, 8, 15, 24, 34, 48, 63

(a) 15 (b)24 (c)34 (d)48 (e)63

Sol. The difference between consecutive terms of the given

series are respectively 5, 7, 9,11,13 and 15.

Clearly, 34 is a wrong number and must be replaced by

(24+11) i.e. 35.

Hence, the answer is (c).

Ex3. Identity the wrong number in the series :

69, 55, 26, 13, 5

(a)5 (b)13 (c)26 (d)55

Sol. Clearly in the given series, each term is one more than the

product of the digits of the preceding term. Thus,

(6x9)+1=55, (5x5)+1=26, (2x6)+1=13.

So, 5 is wrong and must be replaced by (1x3)+1 i.e.4.

Hence, the answer is (a).

EXERCISE 1B

Directions (question 1 to 40): In the following questions, one term in the number series is wrong. Find out the wrong term.

196,169,144, 121, 101

(a)101 (b)121 (c)169 (d)196

2. 3, 10, 27, 4, 16, 64, 5, 25, 125

(a)3 (b)4 (c)10 (d)225

3. 25, 36, 49, 81, 121, 169, 225

(a)36 (b) 49 (c) 169 (d)225

4. 2, 5, 10, 17, 26, 37, 50, 64

(a)17 (b) 26 (c) 37 (d)64

5. 5, 27, 61, 122, 213, 340, 509

a) 27 (b) 61 (c) 122 (d)509

6. 121, 143, 165, 186, 209

a) 143 (b)165 (c) 186 (d)209

7. 16, 22, 30, 45, 52, 66

a) 30 (b) 45 (c) 52 (d)66

8. 8, 13, 21, 32, 47, 63, 83

a) 13 (b) 21 (c)32 (d)47

9. 4, 10, 22, 46, 96, 190, 382

a) 4 (b) 10 (c) 96 (d)382

10. 125, 126, 124, 127, 123, 129

a) 126 (b) 124 (c) 213 (d)129

11. 105, 85, 60, 30,-45, -90

a) 105 (b) 60 (c) 0 (d)-45

12. 325, 259, 202, 160, 127, 105, 94

a) 94 (b) 127 (c) 202 (d)259

13. 380, 188, 92, 48, 20, 8, 2

a) 8 (b) 20 (c) 48 (d)188

14. 89, 78, 86, 80, 85, 82, 83

a) 83 (b) 82 (c) 86 (d)78

15. 56, 58, 62, 70, 84, 118, 182

a) 58 (b) 62 (c) 84 (d)118

16. 15, 16, 22, 29, 45, 70

a) 16 (b) 22 (c) 45 (d)70

17. 1, 2, 4, 8, 16, 32, 64, 96

a) 4 (b) 32 (c) 64 (d)96

18. 24575, 6144, 1536, 386, 96, 24

a) 96 (b) 386 (c) 1536 (d)6144

19. 6, 15, 35, 77, 165, 221

a) 35 (b) 77 (c) 165 (d)221

20. 2, 5, 10, 50, 500, 5000

a) 5 (b) 10 (c) 50 (d)5000

21. 46080, 3840, 384, 48, 24, 2, 1

a) 384 (b) 48 (c) 24 (d)2

22. 5, 10, 40, 80, 320, 550, 2560

a) 80 (b) 320 (c) 550 (d)2560

23. 10, 14, 28, 32, 64, 68, 132

a) 28 (b) 32 (c) 64 (d)132

24. 3, 7, 15, 39, 63, 127, 255, 511

a) 15 (b) 39 (c) 63 (d)127

25. 8, 14, 26, 48, 98, 194, 386

a) 14 (b) 48 (c) 98 (d)194

26. 10, 26, 74, 218, 654, 1946, 5834

a) 26 (b) 74 (c) 218 (d)654

27. 1,3,10, 21, 64, 129, 356, 777

a) 21 (b) 129 (c) 10 (d)356

28. 3, 4, 10, 32, 136, 685, 4116

a) 10 (b) 32 (c) 136 (d)4116

29. 2, 6, 24, 96, 285, 568, 567

a) 6 (b) 24 (c) 285 (d)567

30. 445, 221, 109, 46, 25, 11, 4

a) 25 (b) 46 (c) 109 (d)221

31. 93, 309, 434, 498, 521, 533

a) 309 (b) 434 (c) 498 (d)521

32. 1, 3, 12, 25, 48

a) 3 (b) 12 (c) 25 (d)48

33. 1236, 2346, 3456, 4566, 5686

a) 1236 (b) 3456 (c) 4566 (d)5686

34. 3, 2, 8, 9, 13, 22, 18, 32, 23, 42

a) 8 (b) 9 (c) 13 (d)22

35. 2, 3, 4, 4, 6, 8, 9, 12, 16

a) 3 (b) 6 (c) 9 (d)12

36. 1, 5, 5, 9, 7, 11, 11, 15, 12, 17

a) 11 (b) 12 (c) 17 (d)15

37. 11, 5, 20, 12, 40, 26, 74, 54

a) 5 (b) 20 (c) 40 (d)26

38. 1, 5, 9, 7, 11, 11, 15, 12, 17

a) 9 (b) 15 (c) 25 (d)37
39. 5, 27, 61, 122, 213, 340, 509

a) 27 (b) 61 (c) 122 (d)509

40. 0, 2, 3, 5, 8, 10, 15, 18, 24, 26, 35

a) 18 (b) 24 (c) 26 (d)10

Direction (Question 41 to 45): In each of the following number series, either one term is missing or is wrong, which has been given as one of the four alternative under it. This alternative is your answer.

41. 1, 2, 5, 10, 17, 28

a) 30 (b) 28 (c) 27 (d)17

42. 1, 5, 11, 19, 29, 55

a) 55 (b) 41 (c) 29 (d)19

43. 2, 3, 5, 8, 13, 34

a) 21 (b) 25 (c) 29 (d)34
44. 0, 3, 8, 15, 24, 33

a) 8 (b) 15 (c) 26 (d)33

45. 1, 5, 14, 30, 55, 93

a) 97 (b) 95 (c) 93 (d)55

Direction (Question 46 to 50):In each of the following number series, two terms have been put with in brackets. Mark your answer as

(a) if both the brackets terms are right ;

(b)if the first bracketed term are right and second is wrong;

(c)if the first bracketed term is wrong and second is right ; and

(d) if both the bracketed terms are wrong.

46. 4, 6, 10, (12), 16, (14), 22

47. 3, 10, 29, (66), (127), 218

48. 2, 3, (6),11, 18, (30), 38

49. (2), 5, (12), 25, 41, 61

50. 4, 7, (9), 10, 13, 15, (16), 19

TYPE 2 : ALPHABET SERIES

In this type of questions,a series of single,pairs or group of letters of combination of letters and numeral is given .The terms of the series form a certain pattern as regards the position of the letter in the English alphabet.The candidate is required to decipher this pattern and accordingly find the missing term or the wrong term in the given series.

ILLUSTRATIVE EXAMPLES.

Ex. 1. Find the next two terms in the series : A,C,F,J,?,?,

(a) L,P (b) M,O (c) O,U (d) R,V

Sol. Clearly,the 1^st,2^nd,3^rd,…..letters of the series are respectively moved 2,3,4 steps forward to obtain the successive terms of the series.

Thus, the 5^th term in the series must be a letter which is 5 steps ahead of J i.e. O, while the 6^th term must be a letter six steps a head of O i.e. U.

Thus,we have the following pattern:

+2 +3 +4 +5 +6

A---àC---àF----àJ----àO----àU

So, the missing term are O and U.

Hence ,the answer is (c).

Ex.2. Which term comes next I the sequence :AC,FH,KM,PR,?

(a) UW (b) VW (c) UX (d) TV

Soln : Clearly, the first and the second letters of each term are moved five steps forward to obtain the corresponding letters of the next term.

Thus,the first letter of the missing term must be five steps ahead of P i.e. while the second letter must be five steps ahead of R i.e. W.

So, the missing term is UW.

Hence,the answer is (a).

Ex.3. Find the next term in the series : BMO,EOQ,HQS,?

(a) KSU(b) LMN(c) SOV(d) SOW

Soln : Clearly,we observe the following pattern :

+3 +3 +3

The 1^st letter follows the pattern +3 i.e B----àE-----àH----àK

+2 +2 +2

The 2^nd letter follows the pattern +2 i.e M----àO-----àQ----àS

+2 +2 +2

The 3^rd letter follows the pattern +2i.e O----àQ-----àS--àU

Thus,the missing term is KSU.

Hence,the answer is (a).

Ex.4. Which term comes next in the series : YEB,WFD,UHG,SKI,?

(a) QOL (b) QGL (c) TOL (d) QNL

Sol. Clearly,we observe the following pattern :

-2 -2 -2 -2

1^stletter : Y----àW-----àU----àS--àQ

+1 +2 +3 +4

2^nd letter: E---àF----àH-----àK----àO

+2 +3 +2 +3

3^rd letter : B----àD-----àG----àI---àL

Thus the missing term is QOL.

Hence, the answer is (a).

Ex.5. Which term will replace the ? in the series:

ABD,DGK,HMS,MTB,SBL,?

(a) ZKU (b) ZKW (c) ZAB (d) XKW

Soln. : Clearly,we observe the following pattern :

+3 +4 +5 +6 +7

1^stletter : A----àD-----àH----àM---àS---àZ

+5 +6 +7 +8 +9

2^nd letter: B----àG-----àM----àT-----àB----àK

+7 +8 +9 +10 +11

3^rd letter : D----àK-----àS----àB-----àL------àW

Thus,the missing term is ZKW.

Hence, the answer is (b).

EXERCISE 1C

Directions : In each of the following ques ,various terms of an aplhabet series are given with one or more terms missing as shown by (?). Choose the missing terms out of the given alternatives.

1. R,U,X,A,D,?

(a) F (b) G (c) H (d) I

2. T,R,P,N,L,?,?.

(a) J,G (b) J,H (c)K,H (d) K,I

3.B,D,F,I,L,P,?

(a) R (b) S (c) T (d) U

4. U,B,I,P,W,?

(a) D (b) F (c) Q (d) Z

5. H,I,K,N,?

(a) O (b) Q (c) R (d) S

6. Z,?,T,?,N,?,H,?,B

(a) W,Q,K,E (b) W,R,K,E (c) X,Q,K,E (d) X,R,K,E

7. A,G,L,P,S,?

(a) U (b) W (c) X (d) Y

8. a,d,c,f,?,h,g,?,i

(a) e,j (b) e,k (c) f,j (d) j,e

9. A,D,H,M,?,Z

(a) T (b) G (c) N (d) S

10. A,I,P,V,A,E,?

(a) E (b) F (c) G (d) H

11. Z,U,Q,?,L

(a) I (b) K (c) M (d) N

12. Z,W,S,P,L,I,E,?

(a) B ( b) D (c) F (d) K

13. ZY,X,U,T,S,P,O,N,K,?,?.

(a) H,G (b) H,I (c) I,H (d) J,I

14. Y,W,T,P,K,E,X,?,?

(a) G,H (b) P,G (c) R,G (d) S,R

15. Z,X,S,I,R,R,?,?

(a) G,I (b) J,I (c) J,K (d) K,M

16. A,B,N,C,D,O,E,F,P,?,?,?

(a) G,H,I (b) G,H,J (c) G,H,Q (d) J,K,L

17. A,B,B,D,C,F,D,H,E,?,?

(a) E,F (b) F,G (c) F,I (d) J,F (e) J,K

18. Y,B,T,G,O,?.

(a) N (b) M (c) L ( d) K

19. C,Z,F,X,I,V,L,T,O,?,?.

(a) O,P (b) P,Q (c) R,R (d) S,R

20. M,N,O,L,R,I,V,?

(a) A (b) E (c) F (d) H (e) Z

21. Z,S,W,O,T,K,Q,G,?,?

(a) N,C (b) N,D (c) O,C (d) O,D

22. b,e,d,f,? h,j,?,l

(a) i m (b) m I (c) I n (d) j m

23. AB,DEF,HIJK,?,STUVWX

(a) LMNO (b) LMNOP (c) MNOPQ (d) QRSTU

24. AI,BJ,CK,?

(a) DL (b) DM (c) GH (d) LM

25. AZ,GT,MN,?,YB

(a) JH (b) SH (c) SK (d) TS

26. GH,JL,NQ,SW,YD,?

(a) EJ (b) FJ (c) EL (d) FL

27. AZ CX FU,?

(a) IR (b) IV (c) JQ (d) KP

28. DF,GJ,KM,NQ,RT,?

(a) UW (b) YZ (c) XZ (d) UX (e) YA

29. ajs,gpy,?,sbk,yhq

(a) dmv (b) mve (c) oua (d) qzi

30. PMT,OOS,NQR,MSQ,?.

(a) LUP (b) LVP (c) LVR (d) LWP

31. BMX,DNW,FOU,?.

(a) GHO (b) GPS (c) HPS (d) HPT (e) HQS

32. BZA,DYC,FXE,?,JVI.

(a) HUG (b) HWG (c) UHG (d) WHG (e) None of these

33. ABD,DGK,HMS,MTB,SBL,?.

(a) XKW (b) ZAB (c) ZKU (d) ZKW

34. DHL,PTX,BFJ,?

(a) CGK (b) KOS (c) NRV (d) RVZ

35. WFB,TGD,QHG,?.

(a) NIJ (b) NIK (c) NJK (d) OIK (e) PJK

36. AZY,BUT,CXW,DWV,?.

(a) EVA (b) EVU (c) VEU (d) VUE

37. UPI,?,ODP,MBQ,IAW.

(a) RHJ (b) SHJ (c) SIJ (d) THK (e) TIJ

38. DEF,HIJ,MNO,?

(a) FMI (b) RST (c) RTV (d) SRQ (e) TUV

39. AYD,BVF,DRH,?,KGL.

(a) FMI (b) GMJ (c) GLJ (d) HLK

40. ejo tyd ins xch

(a) nrw (b) mrw (c) msx (d) nsx (e) nsw

41. A,CD,GHI,?,UVWXY

(a) LMNO (b) MNO (c) MNOP (d) NOPQ

42. AYBZC,DWEXF,GUHVI,JSKTL,?.

(a) MQORN (b) MQNRO (c) NQMOR (d) QMONR

43. PERPENDICUALR,ERPENDICULA,RPENDICUL,?.

(a) PENDICUL (b) PENDIC (c) ENDIC (d) ENDICU (e) None of these

44. ATTRIBUTION,TTRIBUTIO,RIBUTIO,IBUTI,?

(a) IBU (b) UT (c) UTI (d) BUT (e) None of these

45. ADVENTURE,DVENTURE,DVENTUR,?,VENTU

(a) DVENT (b) VENTURE (c) VENTUR (d) DVENTU (e) None of these

46. Consider the following series :

A B C D ….. X Y Z ! Y X …..B A ! B C D …Y Z ! Y X ……C B A ! B C …Y Z ..

Which letter occupies the 1000^th positions in the above series ?

(a) B (b) C (c) X (d) Y

EXERCISE 1D

Directions : In each of the following questions, a letter-number is given with one or more terms missing as shown by (?). Choose the missing term out of the given alternatives.

D-4,F-6,H-8,J-10,?,?

(a)K-12,M-13 (b) L-12,M-14 (c) L-12,N-14 (d) K-12,M-14

2B,4C,8E,14H,?

(a)16K (b) 201 (c) 20L (d) 22L

3F,6G,11I,18L,?

(a) 21O (b) 25N (c) 25P (d) 27P (e) 27Q

W-144,?,S-100,Q-81,O-64

(a) U-121 (b) U-122 (c) V-121 (d) V-128

2,A,9,B,6,C,13,D,?

(a) 9 (b) 10 (c) 12 (d) 19

KM5,IP8,GS11,EV14,?

(a) BX17 (b) BY17 (c) CY17 (d) CY18 (e) CZ17

C4X,F9U,I16R,?

(a) K25P (b) L25P (c) L25O (d) L27P

2Z5,7Y7,14X9,23W11,34V13,?

(a) 27U24 (b) 45U15 (c) 47U15 (d) 47V14

N5V,K7T,?,E14P,B19N.

(a) H9R (b) H10Q (c) H10R (d) I10R

Q1F,S2E,U6D,W21C,?

(a) Y44B (b) Y66B (c) Y88B (d) Z88B

2A11,4D13,12G17,?

(a) 36I19 (b) 36J21 (c) 48J21 (d) 48J23

J2Z,K4X,17V,?,H16R,M22P

(a) I11T (b) L11S (c) L12T (d) L11T (e) L12S

Find the term which does not fit into series.

1CV,5FU,91T,15LS,1OR

(a) 5FU (b) 115LS (c) 91T (d) 17OR

TYPE 4 : CONTINUOUS PATTERN SERIES

This type of questions consists of a series of small letters which follow a certain pattern.However, some letters are missing from the series . These missing letters are then given in a proper sequence as one of the alternatives.The candidate is requires to choose this alternative as answer.

Example : aab_aaa_bba_

(a) Baa (b) abb (c) bab (d) aab (e) bbb

Solution : we Procced step by step as shown below :

1. The first blank space should be filled in by ‘b’ so that we have two a’s followed by two b’s .

2. The second blank space should be filled in either by ‘a’ so that we have four a’s followed by two b’s ,or ‘b’ so that we have three a’s followed by three ‘b’.

3. The last space must be filled in by ‘a’.

4. Thus,we have two possible answer : ‘baa’ and ‘bba’.But,only ‘baa’ appear in the alternative.So, the answer is (a).

5. In case, we had both the possible answer in the alternatives,we would have chosen the one that forms a more prominent pattern,which is aabb/aaabbb/aa.Thus,our answer would have been ‘bba.’

CORRESPONDENCE SERIES :

This type of series consists of three sequence with three different elements(usually capital letters,digits and small latters).on th basis of the similarity in positions in the three sequence, a capital letter is found to correspond with a unique digit and a unique small letter,whenever it occurs.The candidate is requires to trace out this correspondence and accordingly choose the elements to be filled in at the desired places.

Consider the following example :

Ex. In the following series ,choose the alternative which contains the numeral to be filled in the marked places,in the correct order :

B_ _ D _ _ C A B D A C B

- - 4 1 3 2 - - - ? ? ? ?

a _ a _ b c _ c _ _ _ _ _

(a) 1,2,3,4 (b) 2,3,1,4 (c) 1,2,4,3 (d) 2,1,4,3

Soln. Clearly, in the second series,1 occures at the same positons as D occurs in the first

Series.So, 1 corresponds to D.Thus, the first questions marks below D is to be replaced by

1. Now, in the third series ,c at the 8^th place corresponds to A in the first series,while c at

the 6^th place corresponds to 2 in the second series . so, 2 corresponds to A.Thus,the

second questions marks below A is to be replaced by 2. In the third series, a at the first

place corresponds to B in the first series and a at the third place corresponds to 4 in the

second series.so, 4 corresponds to B.Thus, the questions mark below B is to be replaced by

4.Now, only 3 remains.So, 3 corresponds to C. Thus, the questions mark below C is to be

replaced by 3.Thus, DACB corresponds to 1,2,3,4.

Hence, the answer is (a).

EXERCISE 1E

Directions : In each of the following letter series ,some of the letters are missing which are given in that order as one of the alternatives below it. Choose the correct alternative

1. _ _ aba_ _ ba _ ab

(a) abbba (b)abbab (c) baabb (d) bbaba

2. ab_ _ baa_ _ab_

(a) aaaaa (b) aabaa (c) aabab (d) baabb

3. m_nm_n_an_a_ma

(a) aamnan (b) ammanm (c) aammnn (d) amammn

4. a_ba_b_b_a_b

(a) abaab (b) abbab (c) aabba (d) bbabb

5. _stt_tt_tts_

(a) tsts (b) ttst (c) sstt (d) tsst

6. _op_mo_n_ _pnmop

(a) mnpmon (b) mpnmop (c) mnompn (d) mnpomn

7. _nmmn_mmnn_mnnm_

(a) nmmn (b) mnnm (c) nnmm (d) nmnm

8. _tu_rt_s_ _usrtu_

(a) rtusru (b) rsutrr (c) rsurtr (d) rsurts

9. ba_cb_b_bab_

(a) acbb (b) back (c) bcaa (d) cabb

10. bca_b_aabc_a_caa

(a) acab (b) bcbb (c) cbab (d) ccab

11. _aa_ba_bb_ab_aab

(a) aaabb (b) babab (c) bbaab (d) bbbaa

12. ab_d_aaba_na_badna_b

(a) andaa (b) babda (c) badna (d) dbanb

13. a_n_b_ _ ncb_ _ ncb

(a) abbbcc (b) abcbcb (c) bacbab (d)bcabab

14. gfe_ig_eii_fei_gf_ii

(a) eifgi (b) figie (c) ifgie (d) ifige

15. a_bbc_aab_cca_bbcc

(a) bacb (b) acba (c) abba (d) caba

16. c_bbb_ _abbbb_abbb_

(a) aabcb (b) abccb (c) abacb (d) bacbb

17. c_bba_cab_ac_ab_ac

(a) abcbc (b) acbcb (c) babcc (d) bcacb

18. cccbb_aa_cc_bbbaa_c

(a) acbc (b) baca (c) baba (d) acba

19. _a_b_abaa_bab_abb

(a) aaabb (b) ababb (c) babab (d) babba

20. ac_cab_baca_aba_acac

(a) aacb (b) acbc (c) babb (d) bcbb

21. _bc_ca_aba_c_ca

(a) abcbb (b) bbbcc (c) bacba (d) abbcc

22. ab_aa_bbb_aaa_bbba

(a) abba (b) baab (c) aaab (d) abab

23. abca_bcaab_ca_bbc_a

(a) ccaa (b) bbaa (c) abac (d) abba

24. _bbca_bcca_ac_a_cb

(a) abcba (b) acbab (c) bacab (d) bcaab

25. _bcc_ac_aabb_ab_cc

(a) aabca (b) abaca (c) bacab (d) bcaca

26. a_bccb_ca_cca_baab_c

(a) ababc (b) abcaa (c) accab (d) bacaa

27. c_baa_aca_cacab_acac_bca

(a) acbaa (b) bbcaa (c) bccab (d) cbaac

28. _c_bd_cbcda_a_db_a

(a) adabcd (b) bdbcba (c) cdbbca (d) daabbc

29. a_bd_da_dbc_b_dc

(a) aabbc (b) bbcca (c) caabb (d) ccbaa

30. a_bc_a_bcda_ccd_bcd_

(a) abddbd (b) acbdbb (c) adbbad (d) adbcad

31. a_bb_baa_bbb_aa_

(a) aabba (b) bbaab (c) abaaa (d) baabb

32. _aba_cabc_dcba_bab_a

(a) abdca (b) bcadc (c) abcdd (d) cbdaa

33. a_cdaab_cc_daa_bbb_ccddd

(a) bdbda (b) bddca (c) dbbca (d) bbdac

34. a_abbb_ccccd_ddccc_bb_ba

(a) abcda (b) abdbc (c) abdcb (d) abcad

35. _bcdbc_dcabd_bcdbc_dc_bd

(a) aaaaa (b) ccccc (c)bbbbb (d) ddddd

36. adb_ac_da_cddcb_dbc_cbda

(a) bccba (b) cbbaa (c) ccbba (d) bbcad

37. _acca_ccca_acccc_aaa

(a) acca (b) caaa (c) ccaa (d) caac

38. aa_aaa_aaaa_aaaa_b

(a) baaa (b) bbaa (c) bbbb (d) bbba

39. a_ca_bc_bcc_bca

(a) bbaa (b) bbab (c) aabb (d) baba

40. ab_bcbca__c_bab

(a) acbc (b) baaa (c) abcc (d) ccaa

41. a_cacbc_baca_ _b

(a) baba (b) babc (c) abac (d) cacb

42. _aaba_bba_bba_abaa_b

(a) aabab (b) ababa (c) baaba (d) bbaba

43. ab_bbc_c_ab_ab_b

(a) ccaac (b) cbabc (c) cacac (d) bccab

44. _bca_cca_ca_b_c

(a) aaaaa (b) bbbab (c) aabaa (d) bbabb

45. b_ac_cc_cb_ab_ac

(a) cbaba (b) bbaac (c) abbbc (d) aabba

46. c_ac_aa_aa_bc_bcc

(a) cabba (b) ccbbb (c) bbbbb (d) cbacb

47. abc_d_bc_d_b_cda

(a) bacde (b) cdabe (c) dacab (d) decdb

48. m n o n o p q o p q r s _ _ _ _ _

(a) mnopq (b) oqrst (c) pqrst (d) qrstu

49. b_ccacca_ba_bbc_bc_a

(a) baaba (b) abaaa (c) acbca (d) bacab

50. aab_ab_cabcca_bcab_c

(a) bbbc (b) bbab (c) cabc (d) cbab

51. ccbab_caa_bccc_a_

(a) babb (b) bbba (c) baab (d) babc

52. a_c_abb_a_bc_bc_ab

(a) cbcaaa (b) bcccab (c) bcccab (d) acbabc

53. b_b_bb_ _bbb_bb_b

(a) bbbbba (b) bbaaab (c) ababab (d) aabaab

54. a_bc_c_abb+bca

(a) cccbc (b) cbbac (c) accbc (d) abbba

55. _c_bd_cbcda_a_db_a

(a) adabcd (b) cdbbca (c) daabbc (d) bdbcba

Directions (Questions 56 to 60 ) : In each of the following questions ,a series of letters and numbers is given ,the terms of which follows certain definite pattern in groups.However, some terms in the series are missing,which are given in the same order as one of the alternative below the series .choose the correct alternatives

56. 2 3 B _ 6 _ F G _ 5 D _ 8 _ H I

(a) C,7,4E,9 (b) D,8,6,C,7 (c) E,8,7,D,9 (d) W,8,7,I,6

57. Z _ 25 Y B 23 X C _W_19 _ E 17

(a) A,21,D,V (b) A,27,C,V (c) X,21,C,W (d) X,27,F,W

58. D_6 E G P _ H J _ 12 K M B 15 _

(a) E,7,J,L (b) F,8,M,K (c) G,9,I,M (d) J,9,V,N

59. F _ U 6 _ 9 I _ T 7 _ 20 _ 4 D 23

(a) 11,G,16,K,U (b) 13,H,15,L,M

60. X W C _ T S 20 _ P 12 _ L 15 K _ P _ G S 7

(a) 17,F,I,S,T (b) 19,E,L,R,H

Directions (Questions 61 to 65 ) : In each of the following questions, three sequences of letters/numerals are given which corresponds to eac other in some way.In each questions, you have to find out the letters/numerals that come in the vacant place marked by (?).These are given as one of the four alternatives under the questions.

61. C B _ _ D _B A B C C B

_ _ 1 2 4 3 _ _ ? ? ? ?

a _ a b _ c _ b _ _ _ _

(a) 3,4,4,3 (b) 3,2,2,3 (c) 3,1,1,3 (d) 1,4,4,1

62. _ A C _ B D _ C D C D

2 _ 4 1 _ 1 4 _ _ _ _

c d _ b c _ a ? ? ? ?

(a) a,b,a,b (b) a ,c,a,c (c) c,b,c,b (d) c,d,c,d

63. C _ B _ D _ A _ B B D D

2 _ _ 4 _ 3 4 _ ? ? ? ?

_ a _ c b a _ d _ _ _ _

(a) 2,2,1,1 (b) 2,2,3,3 (c) 3,3,4,4 (d) 3,3,1,1

64. A _ B A C _ D _ B C D C

_ 3 _ 2 _ 1 _ 4 ? ? ? ?

d c _ _ b a c b _ _ _ _

(a) 1,3,4,3 (b) 1,4,3,4 (c) 2,3,4,3 (d) 3,4,1,4

65. _ A D A C B _ _ B D C C

1 3 _ _ 1 2 4 2 _ _ _ _

a _ _ b _ _ c d ? ? ? ?

(a) a,c,d,d (b) a,d,c,c (c) c,a,d,d (d) d,a,c,c

Sunday, May 1, 2011