SBI PO PrelimsPaper 9, booklet 2776705

Test booklet
प्रश्न पुस्तिका
Booklet No.
2776705
Series
B

SBI PO Prelims Paper 9

Questions
100
Maximum marks
100
Minutes allowed
60

Roll No. assigned when you start

Instructions निर्देश

  1. This booklet has 100 questions in 3 parts: A. English Language (40), B. Quantitative Aptitude (30), C. Reasoning Ability (30).
  2. Each part has its own clock. When it runs out, that part closes and the next opens.
  3. Each question has 5 options and one right answer. A right answer earns 1 mark. A wrong answer costs 0.25. A question left blank scores nothing.
  4. Fill one bubble per question on the answer sheet. Unlike a real sheet, you can clear it and change your mind.

Scripting is off, so this page is a printed paper: answer on paper, then open each question’s working.

Part AEnglish Language

40 questions, 1 mark each, 0.25 off for a wrong answer

  1. Select the word closest in meaning to the given word.
    Detest
    Question 1
    Answer and working

    Answer E

    Detest (verb) and Hate share their main meaning. None of the other options does.

    Source: WordNet 3.1

  2. Select the incorrectly spelt word.
    Question 2
    Answer and working

    Answer D

    compassionnate is wrong; it is spelt compassionate. The others are correct.

  3. Select the word opposite in meaning to the given word.
    Equal
    Question 3
    Answer and working

    Answer E

    The opposite of equal is Differ.

    Source: WordNet 3.1

  4. Select the word opposite in meaning to the given word.
    Optimistic
    Question 4
    Answer and working

    Answer B

    The opposite of optimistic is Pessimistic.

    Source: WordNet 3.1

  5. Select the word closest in meaning to the given word.
    Curriculum
    Question 5
    Answer and working

    Answer B

    Curriculum (noun) and Programme share their main meaning. None of the other options does.

    Source: WordNet 3.1

  6. Select the incorrectly spelt word.
    Question 6
    Answer and working

    Answer D

    succulint is wrong; it is spelt succulent. The others are correct.

  7. Select the word opposite in meaning to the given word.
    Weaken
    Question 7
    Answer and working

    Answer C

    The opposite of weaken is Strengthen.

    Source: WordNet 3.1

  8. Select the correctly spelt word.
    Question 8
    Answer and working

    Answer E

    The correct spelling is flammable.

  9. Select the word opposite in meaning to the given word.
    Lender
    Question 9
    Answer and working

    Answer E

    The opposite of lender is Borrower.

    Source: WordNet 3.1

  10. Select the one word that can replace the given group of words.
    A person who has abnormally low blood pressure
    Question 10
    Answer and working

    Answer D

    Hypotensive: a person who has abnormally low blood pressure.

    Source: WordNet 3.1

  11. Select the word closest in meaning to the given word.
    Nefarious
    Question 11
    Answer and working

    Answer E

    Nefarious (adjective) and Villainous share their main meaning. None of the other options does.

    Source: WordNet 3.1

  12. Select the word closest in meaning to the given word.
    Notorious
    Question 12
    Answer and working

    Answer B

    Notorious (adjective) and Infamous share their main meaning. None of the other options does.

    Source: WordNet 3.1

  13. Select the one word that can replace the given group of words.
    A golfer whose shots typically curve right
    Question 13
    Answer and working

    Answer B

    Slicer: a golfer whose shots typically curve right.

    Source: WordNet 3.1

  14. Select the correctly spelt word.
    Question 14
    Answer and working

    Answer D

    The correct spelling is advisable.

  15. Select the word closest in meaning to the given word.
    Descendants
    Question 15
    Answer and working

    Answer D

    Descendants (noun) and Posterity share their main meaning. None of the other options does.

    Source: WordNet 3.1

  16. Select the incorrectly spelt word.
    Question 16
    Answer and working

    Answer D

    hopelesly is wrong; it is spelt hopelessly. The others are correct.

  17. Select the correctly spelt word.
    Question 17
    Answer and working

    Answer B

    The correct spelling is accidental.

  18. Select the incorrectly spelt word.
    Question 18
    Answer and working

    Answer E

    vocabbulary is wrong; it is spelt vocabulary. The others are correct.

  19. Select the word closest in meaning to the given word.
    Odor
    Question 19
    Answer and working

    Answer A

    Odor (noun) and Smell share their main meaning. None of the other options does.

    Source: WordNet 3.1

  20. Select the one word that can replace the given group of words.
    A racketeer assigned to collect or distribute payoff money
    Question 20
    Answer and working

    Answer C

    Bagman: a racketeer assigned to collect or distribute payoff money.

    Source: WordNet 3.1

  21. Select the word opposite in meaning to the given word.
    Plural
    Question 21
    Answer and working

    Answer D

    The opposite of plural is Singular.

    Source: WordNet 3.1

  22. Select the one word that can replace the given group of words.
    Traveler who moves from one region or country to another
    Question 22
    Answer and working

    Answer D

    Migrant: traveler who moves from one region or country to another.

    Source: WordNet 3.1

  23. Select the word opposite in meaning to the given word.
    Ancestor
    Question 23
    Answer and working

    Answer D

    The opposite of ancestor is Descendant. Ascendent is the trap: it means the same, not the opposite.

    Source: WordNet 3.1

  24. Select the word closest in meaning to the given word.
    Quarrel
    Question 24
    Answer and working

    Answer D

    Quarrel (verb) and Scrap share their main meaning. None of the other options does.

    Source: WordNet 3.1

  25. Select the word closest in meaning to the given word.
    Invaluable
    Question 25
    Answer and working

    Answer B

    Invaluable (adjective) and Priceless share their main meaning. None of the other options does.

    Source: WordNet 3.1

  26. Select the correctly spelt word.
    Question 26
    Answer and working

    Answer E

    The correct spelling is collaboration.

  27. Select the correctly spelt word.
    Question 27
    Answer and working

    Answer B

    The correct spelling is belittle.

  28. Select the word closest in meaning to the given word.
    Inescapable
    Question 28
    Answer and working

    Answer D

    Inescapable (adjective) and Unavoidable share their main meaning. None of the other options does.

    Source: WordNet 3.1

  29. Select the one word that can replace the given group of words.
    Someone who visits stores in search of articles to buy
    Question 29
    Answer and working

    Answer E

    Shopper: someone who visits stores in search of articles to buy.

    Source: WordNet 3.1

  30. Select the word opposite in meaning to the given word.
    Depress
    Question 30
    Answer and working

    Answer E

    The opposite of depress is Elate. Deject is the trap: it means the same, not the opposite.

    Source: WordNet 3.1

  31. Select the correctly spelt word.
    Question 31
    Answer and working

    Answer D

    The correct spelling is disapprove.

  32. Select the correctly spelt word.
    Question 32
    Answer and working

    Answer C

    The correct spelling is approximate.

  33. Select the word closest in meaning to the given word.
    Repent
    Question 33
    Answer and working

    Answer A

    Repent (verb) and Atone share their main meaning. None of the other options does.

    Source: WordNet 3.1

  34. Select the word closest in meaning to the given word.
    Asinine
    Question 34
    Answer and working

    Answer B

    Asinine (adjective) and Inane share their main meaning. None of the other options does.

    Source: WordNet 3.1

  35. Select the one word that can replace the given group of words.
    Someone who makes copies illegally
    Question 35
    Answer and working

    Answer D

    Counterfeiter: someone who makes copies illegally.

    Source: WordNet 3.1

  36. Select the word opposite in meaning to the given word.
    Latter
    Question 36
    Answer and working

    Answer C

    The opposite of latter is Former.

    Source: WordNet 3.1

  37. Select the correctly spelt word.
    Question 37
    Answer and working

    Answer E

    The correct spelling is association.

  38. Select the word closest in meaning to the given word.
    Soothe
    Question 38
    Answer and working

    Answer A

    Soothe (verb) and Comfort share their main meaning. None of the other options does.

    Source: WordNet 3.1

  39. Select the one word that can replace the given group of words.
    An armed thief who is a member of a band
    Question 39
    Answer and working

    Answer C

    Brigand: an armed thief who is a member of a band.

    Source: WordNet 3.1

  40. Select the one word that can replace the given group of words.
    Someone who dissipates resources self-indulgently
    Question 40
    Answer and working

    Answer D

    Waster: someone who dissipates resources self-indulgently.

    Source: WordNet 3.1

Part BQuantitative Aptitude

30 questions, 1 mark each, 0.25 off for a wrong answer

  1. The present ages of Asha and her elder brother are in the ratio 5 : 6. After 12 years, the ratio will be 9 : 10. What is Asha’s present age?
    Question 41
    Answer and working

    Answer D

    Ages 5x and 6x. (5x + 12) : (6x + 12) = 9 : 10 gives x = 3. Asha is 5 × 3 = 15 years.

  2. Two trains 300 m and 260 m long run on parallel tracks in opposite directions at 53 km/h and 73 km/h. How long do they take to cross each other?
    Question 42
    Answer and working

    Answer B

    Relative speed = 53 + 73 = 126 km/h = 35 m/s. Distance = 300 + 260 = 560 m. Time = 560 ÷ 35 = 16 seconds.

  3. Simplify: 50 + 14 × 11 − 27 ÷ 9
    Question 43
    Answer and working

    Answer D

    Division and multiplication first: 14 × 11 = 154 and 27 ÷ 9 = 3. Then 50 + 154 − 3 = 201.

  4. What is the compound interest on ₹22,500 for 2 years at 4% per annum, compounded annually?
    Question 44
    Answer and working

    Answer C

    Amount = 22,500 × (1 + 4/100)2 = ₹24,336. CI = 24,336 − 22,500 = ₹1,836.

  5. Simplify: 5⁄6 + 1⁄2 + 3⁄4
    Question 45
    Answer and working

    Answer E

    Over the common denominator 24: the sum is 25⁄12. Adding tops and bottoms separately (12/16) is the trap.

  6. What is 120% of 500?
    Question 46
    Answer and working

    Answer C

    120% of 500 = 500 × 120/100 = 600.

  7. A sum of money at simple interest amounts to ₹4,270 in 2 years and to ₹5,040 in 4 years. What is the sum?
    Question 47
    Answer and working

    Answer D

    Interest for 2 years = 5,040 − 4,270 = ₹770, so ₹385 a year. Interest for 2 years = ₹770. Sum = 4,270 − 770 = ₹3,500.

  8. Solve both equations and compare x and y.
    I. x² − 5x − 66 = 0
    II. y² + 4y − 45 = 0
    Question 48
    Answer and working

    Answer E

    I gives x = −6 or 11. II gives y = −9 or 5. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  9. Simplify: 88 + 9 × 4 − 18 ÷ 2
    Question 49
    Answer and working

    Answer B

    Division and multiplication first: 9 × 4 = 36 and 18 ÷ 2 = 9. Then 88 + 36 − 9 = 115.

  10. Which number replaces the question mark? 2, 40, 7, 36, 12, 32, 17, ?
    Question 50
    Answer and working

    Answer E

    The rule: two series alternate: 2, 7, 12 … rising by 5, and 40, 36, 32 … falling by 4. The missing term is 28.

  11. Three fair coins are tossed. What is the probability of getting at least two heads?
    Question 51
    Answer and working

    Answer A

    Of the 8 equally likely outcomes, 4 qualify. Probability = 1⁄2.

  12. Solve both equations and compare x and y.
    I. x² − 5x − 50 = 0
    II. y² − 14y + 48 = 0
    Question 52
    Answer and working

    Answer E

    I gives x = −5 or 10. II gives y = 6 or 8. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  13. What is the value of 55² − 17²?
    Question 53
    Answer and working

    Answer E

    a² − b² = (a + b)(a − b) = 72 × 38 = 2,736.

  14. 324 is what percent of 2,160?
    Question 54
    Answer and working

    Answer D

    324 ÷ 2,160 × 100 = 15%.

  15. A boat covers 76 km downstream in 4 hours and 68 km upstream in 4 hours. What is the speed of the stream?
    Question 55
    Answer and working

    Answer B

    Downstream speed = 76 ÷ 4 = 19 km/h; upstream = 68 ÷ 4 = 17 km/h. Stream = (19 − 17) ÷ 2 = 1 km/h.

  16. In what ratio must rice at ₹58/kg be mixed with rice at ₹78/kg so that the mixture is worth ₹72/kg?
    Question 56
    Answer and working

    Answer D

    By alligation: cheaper : dearer = (78 − 72) : (72 − 58) = 6 : 14 = 3 : 7.

  17. Solve both equations and compare x and y.
    I. x² + 5x − 6 = 0
    II. y² − 2y − 24 = 0
    Question 57
    Answer and working

    Answer E

    I gives x = −6 or 1. II gives y = −4 or 6. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  18. Which number replaces the question mark? 6, 7, 16, 51, 208, ?
    Question 58
    Answer and working

    Answer C

    The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 1,045.

  19. Solve both equations and compare x and y.
    I. x² − 11x + 24 = 0
    II. y² + 16y + 63 = 0
    Question 59
    Answer and working

    Answer A

    I gives x = 3 or 8. II gives y = −9 or −7. Every x is greater than every y: x > y.

  20. Solve both equations and compare x and y.
    I. x² − 15x + 54 = 0
    II. y² − 13y + 22 = 0
    Question 60
    Answer and working

    Answer E

    I gives x = 6 or 9. II gives y = 2 or 11. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  21. A trader buys a bicycle for ₹350 and sells it for ₹308. What is the profit or loss percent?
    Question 61
    Answer and working

    Answer B

    Loss = ₹42. As a percent of the cost price: 42 ÷ 350 × 100 = 12% loss.

  22. Which number replaces the question mark? 47, 53, 59, 61, 67, 71, ?
    Question 62
    Answer and working

    Answer E

    The rule: consecutive prime numbers. The missing term is 73.

  23. What is the fourth proportional to 15, 25 and 90?
    Question 63
    Answer and working

    Answer B

    15 : 25 = 90 : x, so x = 25 × 90 ÷ 15 = 150.

  24. Which number replaces the question mark? 1, 3, 9, 27, ?, 243
    Question 64
    Answer and working

    Answer D

    The rule: each term is the previous × 3. The missing term is 81.

  25. What is the average of 22, 43, 49, 68 and 93?
    Question 65
    Answer and working

    Answer D

    Sum = 275. Average = 275 ÷ 5 = 55.

  26. A train 400 m long passes a signal post in 16 seconds. What is its speed in km/h?
    Question 66
    Answer and working

    Answer D

    Speed = 400 ÷ 16 = 25 m/s = 25 × 18/5 = 90 km/h.

  27. A is four times as efficient as B. Together they finish a job in 16 days. How long would A take alone?
    Question 67
    Answer and working

    Answer C

    If B does 1 unit a day, A does 4; together 5 units a day for 16 days = 80 units. A alone: 80 ÷ 4 = 20 days.

  28. Solve both equations and compare x and y.
    I. x² − 13x + 22 = 0
    II. y² + 6y − 27 = 0
    Question 68
    Answer and working

    Answer E

    I gives x = 2 or 11. II gives y = −9 or 3. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  29. Solve both equations and compare x and y.
    I. x² − 10x + 9 = 0
    II. y² − 12y + 27 = 0
    Question 69
    Answer and working

    Answer E

    I gives x = 1 or 9. II gives y = 3 or 9. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  30. Solve both equations and compare x and y.
    I. x² − 14x + 24 = 0
    II. y² − 3y − 70 = 0
    Question 70
    Answer and working

    Answer E

    I gives x = 2 or 12. II gives y = −7 or 10. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

Part CReasoning Ability

30 questions, 1 mark each, 0.25 off for a wrong answer

  1. Statement: N > R = G ≥ K > M
    Conclusions: I. N ≥ M   II. K > R
    Question 71
    Answer and working

    Answer A

    N and M: the chain gives N > M, so N ≥ M is definitely true. K and R: the chain gives K ≤ R, so K > R is not definitely true. So: Only conclusion I follows.

  2. Statement: X ≤ G > F > D < R
    Conclusions: I. X > F   II. X ≥ D
    Question 72
    Answer and working

    Answer D

    X and F: the signs between them point both ways, so no relation can be fixed, so X > F is not definitely true. X and D: the signs between them point both ways, so no relation can be fixed, so X ≥ D is not definitely true. So: Neither conclusion follows.

  3. Statements:
    (1) Some rivers are clocks.
    (2) Some coins are clocks.
    (3) No buses are coins.

    Conclusions:
    (I) No clocks are buses.
    (II) Some clocks are not rivers.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 73
    Answer and working

    Answer D

    Conclusion I need not hold: clocks and buses may overlap. Conclusion II need not hold: every one of the clocks may be rivers. So: Neither conclusion follows.

  4. Statements:
    (1) Some bottles are tables.
    (2) All chairs are tables.
    (3) Some chairs are clouds.

    Conclusions:
    (I) No clouds are bottles.
    (II) Some clouds are not chairs.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 74
    Answer and working

    Answer D

    Conclusion I need not hold: clouds and bottles may overlap. Conclusion II need not hold: every one of the clouds may be chairs. So: Neither conclusion follows.

  5. In a class, Anjali ranks 11th from the top and 7th from the bottom. How many students are in the class?
    Question 75
    Answer and working

    Answer C

    Anjali is counted in both ranks, so the total is 11 + 7 − 1 = 17.

  6. C is the wife of K. M is the father of C. How is M related to K?
    Question 76
    Answer and working

    Answer E

    Follow the links out from K: C is K’s wife; M is C’s father. So M is K’s father-in-law.

  7. Statements:
    (1) Some trees are clocks.
    (2) Some fans are trees.

    Conclusions:
    (I) No trees are clocks.
    (II) No clocks are fans.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 77
    Answer and working

    Answer D

    Conclusion I need not hold: trees and clocks may overlap. Conclusion II need not hold: clocks and fans may overlap. So: Neither conclusion follows.

  8. Which one does not belong with the others?
    Question 78
    Answer and working

    Answer A

    In the others the letters are 2 apart (MOQ); in ACF the last gap is 3. The odd one is ACF.

  9. If ‘+’ means ‘÷’, ‘−’ means ‘+’, ‘×’ means ‘−’, ‘÷’ means ‘×’, what is the value of 18 + 6 ÷ 10 × 10 − 5?
    Question 79
    Answer and working

    Answer B

    Replace the signs: 18 ÷ 6 × 10 − 10 + 5. Division and multiplication first, then addition and subtraction: 25.

  10. In a queue, Meena is 16th from the front and Sohan is 27th from the front. How many people stand between them?
    Question 80
    Answer and working

    Answer D

    Between positions 16 and 27 there are 27 − 16 − 1 = 10 people.

  11. Farah walks 11 km towards the west. She turns right and walks 11 km. She turns right and walks 2 km. She turns right and walks 7 km. She turns left and walks 4 km. In which direction is she from the starting point?
    Question 81
    Answer and working

    Answer E

    Taking east and north as positive: she ends 5 km west and 4 km north of the start, which is to the North-west.

  12. Which number replaces the question mark? 1, 4, 9, 16, 25, 36, ?
    Question 82
    Answer and working

    Answer E

    The rule: the terms are 1², 2², 3² …. The missing term is 49.

  13. If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 2 − 9 + 9 ÷ 14 × 7?
    Question 83
    Answer and working

    Answer B

    Replace the signs: 2 × 9 ÷ 9 + 14 − 7. Division and multiplication first, then addition and subtraction: 9.

  14. In a certain code, PLANT is written as OKZMS. How is PENCIL written in that code?
    Question 84
    Answer and working

    Answer C

    From PLANT → OKZMS: each letter moves 1 place back. Applied to PENCIL: ODMBHK.

  15. In a certain code, TABLE is written as VYDJG. How is LEMON written in that code?
    Question 85
    Answer and working

    Answer E

    From TABLE → VYDJG: letters in odd places move 2 forward, letters in even places move 2 back. Applied to LEMON: NCOMP.

  16. Statement: R > T ≤ D < Z ≤ J
    Conclusions: I. T < Z   II. Z = R
    Question 86
    Answer and working

    Answer A

    T and Z: the chain gives T < Z, so T < Z is definitely true. Z and R: the signs between them point both ways, so no relation can be fixed, so Z = R is not definitely true. So: Only conclusion I follows.

  17. Which number replaces the question mark? 2, 3, ?, 27, 112, 565
    Question 87
    Answer and working

    Answer E

    The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 8.

  18. In a certain code, STONE is written as UVQPG. How is LAMP written in that code?
    Question 88
    Answer and working

    Answer E

    From STONE → UVQPG: each letter moves 2 places forward. Applied to LAMP: NCOR.

  19. Statements:
    (1) Some buses are phones.
    (2) Some buses are birds.
    (3) All birds are stones.

    Conclusions:
    (I) No buses are stones.
    (II) Some birds are stones.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 89
    Answer and working

    Answer B

    Conclusion I need not hold: buses and stones may overlap. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.

  20. W is the sister of R. R is the father of H. How is W related to H?
    Question 90
    Answer and working

    Answer A

    Follow the links out from H: R is H’s father; W is R’s sister. So W is H’s aunt.

  21. Statements:
    (1) All watches are cups.
    (2) Some bags are cups.
    (3) No kites are bags.

    Conclusions:
    (I) All kites are watches.
    (II) All kites are cups.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 91
    Answer and working

    Answer D

    Conclusion I need not hold: some kites may lie outside watches. Conclusion II need not hold: some kites may lie outside cups. So: Neither conclusion follows.

  22. Statements:
    (1) Some watches are rings.
    (2) No watches are coins.
    (3) All clocks are coins.

    Conclusions:
    (I) Some coins are not watches.
    (II) Some watches are not clocks.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 92
    Answer and working

    Answer E

    Conclusion I holds in every diagram the statements allow. Conclusion II holds in every diagram the statements allow. So: Both conclusions follow.

  23. Farah walks 11 km towards the south. She turns right and walks 7 km. She turns right and walks 11 km. How far, and in which direction, is she from the starting point?
    Question 93
    Answer and working

    Answer E

    Taking east and north as positive: she ends 7 km west and 0 km north of the start. Distance = √(7² + 0²) = 7 km. 7 km, west.

  24. Tarun walks 7 km towards the south. He turns left and walks 8 km. He turns left and walks 13 km. He turns left and walks 11 km. He turns left and walks 2 km. How far, and in which direction, is he from the starting point?
    Question 94
    Answer and working

    Answer D

    Taking east and north as positive: he ends 3 km west and 4 km north of the start. Distance = √(3² + 4²) = 5 km. 5 km, north-west.

  25. Pointing to a woman in a photograph, Pooja said, ‘Her mother is the only daughter of my mother.’ How is the woman related to Pooja?
    Question 95
    Answer and working

    Answer C

    The only daughter of my mother is me, so I am the mother. So the woman is Pooja’s daughter.

  26. In the English alphabet, which letter is 4th to the right of the 6th letter from the right?
    Question 96
    Answer and working

    Answer E

    The 6th letter from the right is U (position 21). 4 places to the right: position 25, which is Y.

  27. In the English alphabet, which letter is 5th to the right of the 13th letter from the right?
    Question 97
    Answer and working

    Answer A

    The 13th letter from the right is N (position 14). 5 places to the right: position 19, which is S.

  28. Statements:
    (1) All pens are lamps.
    (2) All lamps are fans.

    Conclusions:
    (I) All lamps are pens.
    (II) All pens are fans.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 98
    Answer and working

    Answer B

    Conclusion I need not hold: some lamps may lie outside pens. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.

  29. Statement: C ≤ B ≤ H ≤ W ≥ G
    Conclusions: I. B > W   II. H ≥ C
    Question 99
    Answer and working

    Answer B

    B and W: the chain gives B ≤ W, so B > W is not definitely true. H and C: the chain gives H ≥ C, so H ≥ C is definitely true. So: Only conclusion II follows.

  30. Statements:
    (1) Some papers are trees.
    (2) All rivers are trees.
    (3) No rivers are phones.

    Conclusions:
    (I) All papers are rivers.
    (II) Some papers are not rivers.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 100
    Answer and working

    Answer C

    Conclusion I need not hold: some papers may lie outside rivers. Conclusion II need not hold: every one of the papers may be rivers. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.