Logical Reasoning One-Liner PDF

Stage-01

#1. Which pair of numbers comes next: 2 8 14 20 26 32 38?
Answer: 44 50
Explanation: This is a simple addition series; it begins with 2 and adds 6 to each subsequent number (38 + 6 = 44; 44 + 6 = 50).
#2. Look at this series: 8, 6, 9, 23, 87, …
Answer: 429
Explanation: The pattern is
8 x 1 – 2 = 6
6 x 2 – 3 = 9
9 x 3 – 4 = 23
23 x 4 – 5 = 87
87 x 5 – 6 = 429 …
#3. Look at this series: 31, 29, 24, 22, 17, …
Answer: 15
Explanation: This is an alternating subtraction series that subtracts 2, then subtracts 5 (17 − 2 = 15).
#4. Look at this series: 80, 10, 70, 15, 60, …
Answer: 20
Explanation: There are two patterns.
Pattern 1: 80, 70, 60 (subtract 10).
Pattern 2: 10, 15, ? (add 5).
So, 15 + 5 = 20.
#5. Which pair of numbers comes next: 75 65 85 55 45 85 35?
Answer: 25 85
Explanation: 85 is interpolated as every third number. The main series subtracts 10:
75, 65, (85), 55, 45, (85), 35, 25, (85).
#6. Look at this series: 8, 22, 8, 28, 8, …
Answer: 34
Explanation: 8 is interpolated as every other number. The other numbers increase by 6 (22 + 6 = 28; 28 + 6 = 34).
#7. Which pair of numbers comes next: 2 3 4 5 6 4 8?
Answer: 9 4
Explanation: 4 is interpolated every third number. The main series adds 1, then 2:
(2+1=3), (3+1=4), [4], (4+1=5), (5+1=6), [4], (6+2=8), (8+1=9), [4].
#8. Look at this series: 53, 53, 40, 40, 27, 27, …
Answer: 14
Explanation: Each number is repeated, and then 13 is subtracted from the pair to get the next pair (27 − 13 = 14).
#9. Look at this series: 22, 21, 23, 22, 24, 23, …
Answer: 25
Explanation: This is an alternating subtraction and addition series: −1, +2, −1, +2. Since 24 − 1 = 23, the next step is 23 + 2 = 25.
#10. Which pair of numbers comes next: 28 25 5 21 18 5 14?
Answer: 11 5
Explanation: 5 is interpolated every third number. The subtraction pattern is −3, −4, −3, −4. So, 14 − 3 = 11, followed by the random 5.
#11. Look at this series: 21, 9, 21, 11, 21, 13, 21, …
Answer: 15
Explanation: 21 is interpolated every other number. The increasing series adds 2 (9, 11, 13, 15).
#12. Look at this series: 2, 1, 1/2, 1/4, …
Answer: 1/8
Explanation: Each number is divided by 2 (or multiplied by 1/2).
4/2 = 2 2/2 = 1 1/2 = 1/2 (1/2)/2 = 1/4 (1/4)/2 = 1/8 and so on.
#13. Which pair of numbers comes next: 6 20 8 14 10 8 12?
Answer: 2 14
Explanation:
Pattern 1: 6, 8, 10, 12 (add 2).
Pattern 2: 20, 14, 8, ? (subtract 6).
8 − 6 = 2, and 12 + 2 = 14.
#14. Which pair of numbers comes next: 9 16 23 30 37 44 51?
Answer: 58 65
Explanation: This is a simple addition series adding 7.
#15. Look at this series: 36, 34, 30, 28, 24, …
Answer: 22
Explanation: Alternating subtraction: −2, −4.
#16. Look at this series: 2, 6, 18, 54, …
Answer: 162
Explanation: Each number is multiplied by 3.
#17. Look at this series: 2, 4, 6, 8, 10, …
Answer: 12
Explanation: Add 2 each time.
#18. Which pair of numbers comes next: 9 11 33 13 15 33 17?
Answer: 19 33
Explanation: 33 is interpolated every third number. The main series adds 2.
#19. Which pair of numbers comes next: 11 16 21 26 31 36 41?
Answer: 46 51
Explanation: Add 5 each time.
#20. Look at this series: 58, 52, 46, 40, 34, …
Answer: 28
Explanation: Subtract 6 each time.
#21. Look at this series: 201, 202, 204, 207, …
Answer: 211
Explanation: Increasing addition: +1, +2, +3, +4.
#22. Which pair of numbers comes next: 17 17 34 20 20 31 23?
Answer: 23 28
Explanation:
Pattern 1: 17, 17, 20, 20, 23, 23 (repeat then add 3).
Pattern 2: 34, 31, 28 (subtract 3).
#23. Look at this series: 1.5, 2.3, 3.1, 3.9, …
Answer: 4.7
Explanation: Add 0.8 each time.
#24. Look at this series: 14, 28, 20, 40, 32, 64, …
Answer: 56
Explanation: Alternating ×2, −8.
#25. Which pair of numbers comes next: 8 11 21 15 18 21 22?
Answer: 25 21
Explanation: 21 is interpolated every third number. The addition alternates +3, +4.
#26. Look at this series: 3, 4, 7, 8, 11, 12, …
Answer: 15
Explanation: Alternating +1, +3.
#27. Look at this series: 544, 509, 474, 439, …
Answer: 404
Explanation: Subtract 35 each time.
#28. Which pair of numbers comes next: 21 25 18 29 33 18?
Answer: 37 41
Explanation: 18 is interpolated every third number. Main series adds 4.
#29. Look at this series: 7, 10, 8, 11, 9, 12, …
Answer: 10
Explanation: Alternating +3, −2.
#30. Look at this series: 5.2, 4.8, 4.4, 4, …
Answer: 3.6
Explanation: Subtract 0.4 each time.

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Stage-02

#31. What number should be fill in the blank? F2, __, D8, C16, B32, …
Answer: E4
Explanation: The letters follow a reverse alphabetical order (F, E, D, C, B), decreasing by 1 letter. The numbers follow a geometric progression where each is multiplied by 2 (2, 4, 8, 16, 32).
#32. Which pair of numbers comes next: 3 8 10 15 17 22 24?
Answer: 29 31
Explanation: This is an alternating addition series: add 5, then add 2 (24+5=29; 29+2=31).
#33. Which pair of numbers comes next: 42 40 38 35 33 31 28?
Answer: 26 24
Explanation: The pattern is to subtract 2 twice, then subtract 3 once (28−2=26; 26−2=24).
#34. Which pair of numbers comes next: 17 14 14 11 11 8 8?
Answer: 5 5
Explanation: This is a subtraction series with repetition; subtract 3 to get the next number, then repeat it (8−3=5, then repeat 5).
#35. Which pair of numbers comes next: 11 14 14 17 17 20 20?
Answer: 23 23
Explanation: This is an addition series with repetition; add 3 to get the next number, then repeat it (20+3=23, then repeat 23).
#36. Which pair of numbers comes next: 7 9 66 12 14 66 17?
Answer: 19 66
Explanation: The constant 66 is interpolated every third number. The main series alternates between adding 2 and adding 3 (17+2=19, then the interpolated 66).
#37. Which pair of numbers comes next: 34 30 26 22 18 14 10?
Answer: 6 2
Explanation: This is a simple subtraction series where 4 is subtracted from each number (10−4=6; 6−4=2).
#38. Which pair of numbers comes next: 40 40 31 31 22 22 13?
Answer: 13 4
Explanation: Numbers repeat in pairs, then decrease by 9 to find the next pair. Since 13 is the first of a pair, it repeats, then 13−9=4.
#39. Which pair of numbers comes next: 4 8 22 12 16 22 20 24?
Answer: 22 28
Explanation: The number 22 is interpolated every third position. The main series adds 4 (24+4=28). The sequence after 24 is the interpolated 22 followed by 28.
#40. Which pair of numbers comes next: 10 20 25 35 40 50 55?
Answer: 65 70
Explanation: This is an alternating addition series: add 10, then add 5 (55+10=65; 65+5=70).
#41. Which pair of numbers comes next: 61 57 50 61 43 36 61?
Answer: 29 22
Explanation: 61 is interpolated every third number. The main series starting at 57 subtracts 7 each time (36−7=29; 29−7=22).
#42. Which pair of numbers comes next: 2 44 4 41 6 38 8?
Answer: 35 10
Explanation: Two patterns alternate. Pattern 1 (even positions): 44,41,38,35 (subtract 3). Pattern 2 (odd positions): 2,4,6,8,10 (add 2).
#43. Which pair of numbers comes next: 36 31 29 24 22 17 15?
Answer: 10 8
Explanation: This is an alternating subtraction series: subtract 5, then subtract 2 (15−5=10; 10−2=8).
#44. Which pair of numbers comes next: 9 12 11 14 13 16 15?
Answer: 18 17
Explanation: This is an alternating series: add 3, then subtract 1 (15+3=18; 18−1=17).
#45. Which pair of numbers comes next: 3 8 13 18 23 28 33?
Answer: 38 43
Explanation: This is a simple addition series adding 5 to each number (33+5=38; 38+5=43).
#46. Which pair of numbers comes next: 20 20 17 17 14 14 11?
Answer: 11 8
Explanation: Simple subtraction with repetition; repeat the number, then subtract 3 (11 repeats, then 11−3=8).
#47. Which pair of numbers comes next: 32 29 26 23 20 17 14?
Answer: 11 8
Explanation: A simple subtraction series where each number decreases by 3 (14−3=11; 11−3=8).
#48. Which pair of numbers comes next: 44 41 38 35 32 29 26?
Answer: 23 20
Explanation: A simple subtraction series where each number decreases by 3 (26−3=23; 23−3=20).
#49. Which pair of numbers comes next: 8 12 9 13 10 14 11?
Answer: 15 12
Explanation: This is an alternating series: add 4, then subtract 3 (11+4=15; 15−3=12).
#50. Which pair of numbers comes next: 14 14 26 26 38 38 50?
Answer: 50 62
Explanation: Numbers repeat, then increase by 12 (50 repeats, then 50+12=62).
#51. Which pair of numbers comes next: 1 10 7 20 13 30 19?
Answer: 40 25
Explanation: Pattern 1 (odd): 1,7,13,19,25 (add 6). Pattern 2 (even): 10,20,30,40 (add 10).
#52. Which pair of numbers comes next: 3 5 35 10 12 35 17?
Answer: 19 35
Explanation: 35 is interpolated every third number. The main series alternates between +2 and +5.
#53. Which pair of numbers comes next: 4 7 26 10 13 20 16?
Answer: 19 14
Explanation: Pattern 1: 4,7,10,13,16,19 (add 3). Pattern 2: 26,20,14 (subtract 6).
#54. Which pair of numbers comes next: 84 78 72 66 60 54 48?
Answer: 42 36
Explanation: Simple subtraction series where 6 is subtracted each time.
#55. Which pair of numbers comes next: 16 26 56 36 46 68 56?
Answer: 66 80
Explanation: Main series adds 10; every third number adds 12.
#56. Which pair of numbers comes next: 10 34 12 31 14 28 16?
Answer: 25 18
Explanation: Pattern 1 adds 2; Pattern 2 subtracts 3.
#57. Which pair of numbers comes next: 17 32 19 29 21 26 23?
Answer: 23 25
Explanation: Pattern 1 adds 2; Pattern 2 subtracts 3.

#58. Which pair of numbers comes next: 32 31 32 29 32 27 32?
Answer: 25 32
Explanation: 32 is interpolated every other number; the remaining series decreases by 2.

#59. Which pair of numbers comes next: 6 10 14 18 22 26 30?
Answer: 34 38
Explanation: Simple addition series adding 4.

#60. Which pair of numbers comes next: 13 29 15 26 17 23 19?
Answer: 20 21
Explanation: Pattern 1 adds 2; Pattern 2 subtracts 3.

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Stage-03

#61. Look at this series: 4, 7, 25, 10, __, 20, 16, 19, … What number should fill the blank?
Answer: 13
Explanation: This features two alternating patterns. Starting with 4, every other number increases by 3 (4,7,10,13,16,19). The other series (25,20,15…) decreases by 5.
#62. Look at this series: 70, 71, 76, __, 81, 86, 70, 91, … What number should fill the blank?
Answer: 70
Explanation: The number 70 is interpolated as every third number. The main series adds 5 to each number (71+5=76, then interpolated 70, then 76+5=81).
#63. Which word does NOT belong with the others?
Answer: bud
Explanation: Rose and tulip are specific types of flowers, whereas a bud is a stage of development for any flower.
#64. Look at this series: 83, 73, 93, 63, __, 93, 43, … What number should fill the blank?
Answer: 53
Explanation: 93 is interpolated every third number. The main series subtracts 10 (83,73,(93),63,53,(93),43).
#65. Look at this series: 0.15, 0.3, ____, 1.2, 2.4, … What number should fill the blank?
Answer: 0.6
Explanation: This is a geometric series where each number is multiplied by 2 (0.3×2=0.6).
#66. Which word does NOT belong with the others?
Answer: vision
Explanation: Pupil, retina, and cornea are all physical parts of the eye; vision is the function/sense performed by the eye.
#67. Which word does NOT belong with the others?
Answer: book
Explanation: Index, glossary, and chapter are all parts contained within a book.
#68. Look at this series: 72, 76, 73, 77, 74, __, 75, … What number should fill the blank?
Answer: 78
Explanation: This is an alternating series: add 4, then subtract 3 (74+4=78).
#69. Which word does NOT belong with the others?
Answer: mayonnaise
Explanation: Basil, parsley, and dill are all herbs; mayonnaise is a condiment/sauce.
#70. Look at this series: VI, 10, V, 11, __, 12, III, … What number should fill the blank?
Answer: IV
Explanation: There are two patterns. The Roman numerals decrease (VI,V,IV,III). The Arabic numerals increase (10,11,12).
#71. Look at this series: U32, V29, __, X23, Y20, … What number should fill the blank?
Answer: W26
Explanation: The letters increase alphabetically (U,V,W,X,Y). The numbers decrease by 3 (32,29,26,23,20).
#72. What number should be fill in the blank? (Series: 340, 170, 178, 89, __)
Answer: 178
Explanation: This is an alternating division and addition series. First, divide by 2, and then add 8.
340 ÷ 2 = 170
170 + 8 = 178
178 ÷ 2 = 89
89 + 8 = 178
#73. Which word does NOT belong with the others?
Answer: letter
Explanation: Heading and closing are specific parts of a letter; a “letter” is the whole document itself.
#74. Which word does NOT belong with the others?
Answer: ounce
Explanation: Centimeter, yard, and inch are units of length; an ounce is a unit of weight.
#75. Look at this series: (1/9), (1/3), 1, ____ , 9, … What number should fill the blank?
Answer: 3
Explanation: Each number is multiplied by 3 (1×3=3).
#76. Which word does NOT belong with the others?
Answer: loaf
Explanation: Pumpernickel, sourdough, and rye are specific types of bread; a loaf is a shape or quantity of bread.
#77. Which word does NOT belong with the others?
Answer: dirt
Explanation: Leaf and root are physical parts of a plant; dirt is the medium in which it grows.
#78. Which word does NOT belong with the others?
Answer: tape
Explanation: Yarn and cord are types of fiber/string used for binding or knitting; tape is an adhesive strip.
#79. Which word does NOT belong with the others?
Answer: familiar
Explanation: Insignificant, trivial, and unimportant are synonyms; familiar has a different meaning.
#80. Which word does NOT belong with the others?
Answer: street
Explanation: Freeway and expressway are designed for high-speed, long-distance travel; a street is a local urban road.
#81. Look at this series: 8, 43, 11, 41, __, 39, 17, … What number should fill in the blank?
Answer: 14
Explanation: Two alternating patterns. Pattern 1: 8,11,14,17 (add 3). Pattern 2: 43,41,39 (subtract 2).
#82. Which word does NOT belong with the others?
Answer: elephant
Explanation: Cougars and leopards are felines (cats); an elephant is a pachyderm.
#83. Look at this series: J14, L16, __, P20, R22, … What number should fill the blank?
Answer: N18
Explanation: Letters skip one (J,[k],L,[m],N,[o],P,[q],R). Numbers increase by 2 (14,16,18,20,22).
#84. Look at this series: XXIV, XX, __, XII, VIII, … What number should fill the blank?
Answer: XVI
Explanation: These are Roman numerals decreasing by 4 (24,20,16,12,8). XVI is 16.
#85. Which word does NOT belong with the others?
Answer: rug
Explanation: Couch and table are pieces of furniture; a rug is a floor covering/accessory.
#86. Which word does NOT belong with the others?
Answer: flee
Explanation: Dodge and avoid mean to stay away from or evade something; flee means to run away entirely.
#87. Look at this series: V, VIII, XI, XIV, __, XX, … What number should fill the blank?
Answer: XVII
Explanation: Roman numerals increasing by 3 (5,8,11,14,17,20). XVII is 17.
#88. Look at this series: 15, __, 27, 27, 39, 39, … What number should fill the blank?
Answer: 15
Explanation: This is a repetition series with an addition of 12 (15,15,27,27,39,39).
#89. Which word does NOT belong with the others?
Answer: flute
Explanation: Guitar, cello, and violin are string instruments; a flute is a woodwind instrument.
#90. Which word does NOT belong with the others?
Answer: car
Explanation: Tyre and engine are parts of a car; the “car” is the complete vehicle.

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Stage-04

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