SBI PO PrelimsPaper 8, booklet 7529374

Test booklet
प्रश्न पुस्तिका
Booklet No.
7529374
Series
A

SBI PO Prelims Paper 8

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.
    Unplug
    Question 1
    Answer and working

    Answer D

    Unplug (verb) and Disconnect share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer B

    The correct spelling is dietary.

  3. Select the incorrectly spelt word.
    Question 3
    Answer and working

    Answer B

    differenteate is wrong; it is spelt differentiate. The others are correct.

  4. Select the correctly spelt word.
    Question 4
    Answer and working

    Answer C

    The correct spelling is momentary.

  5. Select the one word that can replace the given group of words.
    A petty officer on a merchant ship who controls the work of other seamen
    Question 5
    Answer and working

    Answer B

    Boatswain: a petty officer on a merchant ship who controls the work of other seamen.

    Source: WordNet 3.1

  6. Select the word opposite in meaning to the given word.
    Joyful
    Question 6
    Answer and working

    Answer B

    The opposite of joyful is Sorrowful.

    Source: WordNet 3.1

  7. Select the one word that can replace the given group of words.
    A biologist specializing in the study of plants
    Question 7
    Answer and working

    Answer A

    Botanist: a biologist specializing in the study of plants.

    Source: WordNet 3.1

  8. Select the word opposite in meaning to the given word.
    Surrender
    Question 8
    Answer and working

    Answer E

    The opposite of surrender is Resist.

    Source: WordNet 3.1

  9. Select the correctly spelt word.
    Question 9
    Answer and working

    Answer D

    The correct spelling is middleman.

  10. Select the word opposite in meaning to the given word.
    Defeat
    Question 10
    Answer and working

    Answer B

    The opposite of defeat is Victory.

    Source: WordNet 3.1

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

    Answer C

    Occur (verb) and Happen share their main meaning. None of the other options does.

    Source: WordNet 3.1

  12. Select the word opposite in meaning to the given word.
    Sunset
    Question 12
    Answer and working

    Answer E

    The opposite of sunset is Sunrise.

    Source: WordNet 3.1

  13. Select the one word that can replace the given group of words.
    A person who takes part in an armed rebellion against the constituted authority
    Question 13
    Answer and working

    Answer B

    Insurgent: a person who takes part in an armed rebellion against the constituted authority.

    Source: WordNet 3.1

  14. Select the word closest in meaning to the given word.
    Upkeep
    Question 14
    Answer and working

    Answer A

    Upkeep (noun) and Maintenance share their main meaning. None of the other options does.

    Source: WordNet 3.1

  15. Select the incorrectly spelt word.
    Question 15
    Answer and working

    Answer E

    inaccurete is wrong; it is spelt inaccurate. The others are correct.

  16. Select the word closest in meaning to the given word.
    Grasp
    Question 16
    Answer and working

    Answer A

    Grasp (noun) and Hold share their main meaning. None of the other options does.

    Source: WordNet 3.1

  17. Select the word closest in meaning to the given word.
    Seclusion
    Question 17
    Answer and working

    Answer E

    Seclusion (noun) and Privacy share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer D

    The correct spelling is illuminate.

  19. Select the one word that can replace the given group of words.
    Someone who rebels and becomes an outlaw
    Question 19
    Answer and working

    Answer E

    Renegade: someone who rebels and becomes an outlaw.

    Source: WordNet 3.1

  20. Select the correctly spelt word.
    Question 20
    Answer and working

    Answer B

    The correct spelling is sustenance.

  21. Select the word closest in meaning to the given word.
    Talky
    Question 21
    Answer and working

    Answer E

    Talky (adjective) and Gabby share their main meaning. None of the other options does.

    Source: WordNet 3.1

  22. Select the word opposite in meaning to the given word.
    Pessimist
    Question 22
    Answer and working

    Answer D

    The opposite of pessimist is Optimist.

    Source: WordNet 3.1

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

    Answer B

    The opposite of download is Upload.

    Source: WordNet 3.1

  24. Select the incorrectly spelt word.
    Question 24
    Answer and working

    Answer D

    miserrable is wrong; it is spelt miserable. The others are correct.

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

    Answer E

    Berserk (adjective) and Amok share their main meaning. None of the other options does.

    Source: WordNet 3.1

  26. Select the one word that can replace the given group of words.
    A dull unattractive unpleasant girl or woman
    Question 26
    Answer and working

    Answer C

    Frump: a dull unattractive unpleasant girl or woman.

    Source: WordNet 3.1

  27. Select the word closest in meaning to the given word.
    Averse
    Question 27
    Answer and working

    Answer B

    Averse (adjective) and Loath share their main meaning. None of the other options does.

    Source: WordNet 3.1

  28. Select the correctly spelt word.
    Question 28
    Answer and working

    Answer D

    The correct spelling is commentary.

  29. Select the correctly spelt word.
    Question 29
    Answer and working

    Answer E

    The correct spelling is arrangement.

  30. Select the one word that can replace the given group of words.
    A person who travels by getting free rides from passing vehicles
    Question 30
    Answer and working

    Answer E

    Hitchhiker: a person who travels by getting free rides from passing vehicles.

    Source: WordNet 3.1

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

    Answer C

    The correct spelling is supplemental.

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

    Answer D

    comendation is wrong; it is spelt commendation. The others are correct.

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

    Answer D

    Bony (adjective) and Skinny share their main meaning. None of the other options does.

    Source: WordNet 3.1

  34. Select the word opposite in meaning to the given word.
    Elitist
    Question 34
    Answer and working

    Answer E

    The opposite of elitist is Egalitarian.

    Source: WordNet 3.1

  35. Select the word closest in meaning to the given word.
    Gush
    Question 35
    Answer and working

    Answer D

    Gush (verb) and Spout share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer C

    The opposite of cooperation is Competition.

    Source: WordNet 3.1

  37. Select the one word that can replace the given group of words.
    Someone who thinks that nothing exists but physical matter
    Question 37
    Answer and working

    Answer B

    Materialist: someone who thinks that nothing exists but physical matter.

    Source: WordNet 3.1

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

    Answer C

    Afire (adjective) and Ablaze share their main meaning. None of the other options does.

    Source: WordNet 3.1

  39. Select the word closest in meaning to the given word.
    Flabby
    Question 39
    Answer and working

    Answer C

    Flabby (adjective) and Flaccid share their main meaning. None of the other options does.

    Source: WordNet 3.1

  40. Select the one word that can replace the given group of words.
    A noblewoman ranking below a duchess and above a countess
    Question 40
    Answer and working

    Answer A

    Marquise: a noblewoman ranking below a duchess and above a countess.

    Source: WordNet 3.1

Part BQuantitative Aptitude

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

  1. Which number replaces the question mark? 4, 9, 16, ?, 36, 49
    Question 41
    Answer and working

    Answer E

    The rule: the terms are 2², 3², 4² …. The missing term is 25.

  2. What is the compound interest on ₹24,700 for 2 years at 20% per annum, compounded annually?
    Question 42
    Answer and working

    Answer E

    Amount = 24,700 × (1 + 20/100)2 = ₹35,568. CI = 35,568 − 24,700 = ₹10,868.

  3. Solve both equations and compare x and y.
    I. x² − 8x − 20 = 0
    II. y² − 5y + 6 = 0
    Question 43
    Answer and working

    Answer E

    I gives x = −2 or 10. II gives y = 2 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.

  4. What is √256 + √484 − √361?
    Question 44
    Answer and working

    Answer C

    16 + 22 − 19 = 19.

  5. Find the wrong number in the series: 20, 30, 31, 23, 34, 16, 41, 9
    Question 45
    Answer and working

    Answer D

    The rule: two series alternate: 20, 27, 34 … rising by 7, and 30, 23, 16 … falling by 7. The term in place of 31 should be 27, so the wrong number is 31.

  6. A boat covers 125 km downstream in 5 hours and 90 km upstream in 6 hours. What is the speed of the stream?
    Question 46
    Answer and working

    Answer D

    Downstream speed = 125 ÷ 5 = 25 km/h; upstream = 90 ÷ 6 = 15 km/h. Stream = (25 − 15) ÷ 2 = 5 km/h.

  7. Solve both equations and compare x and y.
    I. x² − 11x + 30 = 0
    II. y² − 7y = 0
    Question 47
    Answer and working

    Answer E

    I gives x = 5 or 6. II gives y = 0 or 7. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  8. Simplify: 10 + 14 × 12 − 30 ÷ 5
    Question 48
    Answer and working

    Answer E

    Division and multiplication first: 14 × 12 = 168 and 30 ÷ 5 = 6. Then 10 + 168 − 6 = 172.

  9. The average of 12 numbers is 78. When one number is removed, the average of the rest is 81. Which number was removed?
    Question 49
    Answer and working

    Answer E

    Total of 12 = 12 × 78 = 936. Total of 11 = 11 × 81 = 891. Removed = 936 − 891 = 45.

  10. ₹28,050 is divided among Ravi, Sunita and Imran in the ratio 7 : 6 : 2. What is Ravi’s share?
    Question 50
    Answer and working

    Answer E

    Total parts = 7 + 6 + 2 = 15. Ravi gets 7/15 × 28,050 = ₹13,090.

  11. 1,085 is what percent of 1,240?
    Question 51
    Answer and working

    Answer E

    1,085 ÷ 1,240 × 100 = 87.5%.

  12. Solve both equations and compare x and y.
    I. x² − 12x = 0
    II. y² − 5y + 6 = 0
    Question 52
    Answer and working

    Answer E

    I gives x = 0 or 12. II gives y = 2 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.

  13. Solve both equations and compare x and y.
    I. x² − 19x + 84 = 0
    II. y² + 2y − 24 = 0
    Question 53
    Answer and working

    Answer A

    I gives x = 7 or 12. II gives y = −6 or 4. Every x is greater than every y: x > y.

  14. What is √529 + √361 − √225?
    Question 54
    Answer and working

    Answer A

    23 + 19 − 15 = 27.

  15. Find the wrong number in the series: 6, 7, 11, 20, 34, 61, 97
    Question 55
    Answer and working

    Answer D

    The rule: the differences are squares: 1, 4, 9, 16, 25, 36. The term in place of 34 should be 36, so the wrong number is 34.

  16. A scooter runs at 36 km/h. What is its speed in metres per second?
    Question 56
    Answer and working

    Answer E

    Multiply by 5/18: 36 × 5/18 = 10 m/s.

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

    Answer E

    I gives x = −2 or 3. II gives y = 0 or 1. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  18. Solve both equations and compare x and y.
    I. x² − x − 56 = 0
    II. y² − y − 20 = 0
    Question 58
    Answer and working

    Answer E

    I gives x = −7 or 8. II gives y = −4 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.

  19. The sum of the present ages of a father and his son is 74 years. 7 years ago, the father was 4 times as old as the son. How old is the son now?
    Question 59
    Answer and working

    Answer C

    Let the son be s. Then (74 − s − 7) = 4(s − 7), so 95 = 5s and s = 19 years.

  20. Solve both equations and compare x and y.
    I. x² − 11x + 24 = 0
    II. y² − 6y − 72 = 0
    Question 60
    Answer and working

    Answer E

    I gives x = 3 or 8. II gives y = −6 or 12. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  21. Solve both equations and compare x and y.
    I. x² + 15x + 54 = 0
    II. y² − 3y − 88 = 0
    Question 61
    Answer and working

    Answer E

    I gives x = −9 or −6. II gives y = −8 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.

  22. A shopkeeper marks his goods 40% above the cost price and allows a discount of 25%. What is his profit or loss percent?
    Question 62
    Answer and working

    Answer D

    Take CP = 100. Marked price = 140. After 25% off: 140 × 75/100 = 105. So 5% profit.

  23. By selling a watch for ₹1,530, a man loses 10%. For how much should he sell it to gain 15%?
    Question 63
    Answer and working

    Answer C

    CP = 1,530 × 100/90 = ₹1,700. For a 15% gain: 1,700 × 115/100 = ₹1,955.

  24. Which number replaces the question mark? 4, 7, ?, 25, 49, 97
    Question 64
    Answer and working

    Answer D

    The rule: each term is the previous × 2 − 1. The missing term is 13.

  25. A bag holds 6 red, 2 blue and 3 green balls. Two balls are drawn at random without replacement. What is the probability that both are red?
    Question 65
    Answer and working

    Answer D

    Ways to pick 2 red: 15. Ways to pick any 2: 55. Probability = 3⁄11.

  26. A scooter runs at 72 km/h. What is its speed in metres per second?
    Question 66
    Answer and working

    Answer D

    Multiply by 5/18: 72 × 5/18 = 20 m/s.

  27. A sum of money at simple interest amounts to ₹11,160 in 4 years and to ₹12,240 in 6 years. What is the sum?
    Question 67
    Answer and working

    Answer C

    Interest for 2 years = 12,240 − 11,160 = ₹1,080, so ₹540 a year. Interest for 4 years = ₹2,160. Sum = 11,160 − 2,160 = ₹9,000.

  28. Simplify: 37 + 12 × 5 − 36 ÷ 9
    Question 68
    Answer and working

    Answer C

    Division and multiplication first: 12 × 5 = 60 and 36 ÷ 9 = 4. Then 37 + 60 − 4 = 93.

  29. A and B together can do a job in 12 days. A alone can do it in 18 days. In how many days can B alone do it?
    Question 69
    Answer and working

    Answer E

    B’s one day = 1/12 − 1/18 = 1/36. B alone takes 36 days.

  30. In what ratio must rice at ₹23/kg be mixed with rice at ₹56/kg so that the mixture is worth ₹29/kg?
    Question 70
    Answer and working

    Answer E

    By alligation: cheaper : dearer = (56 − 29) : (29 − 23) = 27 : 6 = 9 : 2.

Part CReasoning Ability

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

  1. Statements:
    (1) All buses are bags.
    (2) No buses are flowers.

    Conclusions:
    (I) Some bags are not flowers.
    (II) Some buses are flowers.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 71
    Answer and working

    Answer A

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

  2. Statements:
    (1) No clocks are leaves.
    (2) Some clocks are phones.
    (3) Some fans are phones.

    Conclusions:
    (I) No phones are leaves.
    (II) All phones are leaves.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 72
    Answer and working

    Answer D

    Conclusion I need not hold: phones and leaves may overlap. Conclusion II need not hold: some phones may lie outside leaves. So: Neither conclusion follows.

  3. Rekha walks 6 km towards the east. She turns left and walks 15 km. She turns left and walks 3 km. She turns left and walks 9 km. She turns left and walks 13 km. Which direction is she facing now?
    Question 73
    Answer and working

    Answer E

    Each right turn is a quarter turn clockwise, each left anticlockwise. The last leg runs East.

  4. Statement: N ≤ Z < U ≤ X < K
    Conclusions: I. Z ≤ X   II. N ≤ U
    Question 74
    Answer and working

    Answer E

    Z and X: the chain gives Z < X, so Z ≤ X is definitely true. N and U: the chain gives N < U, so N ≤ U is definitely true. So: Both conclusions follow.

  5. Statement: A ≤ D = U ≤ V > M
    Conclusions: I. D < V   II. D = V
    Question 75
    Answer and working

    Answer C

    D and V: the chain gives D ≤ V, so D < V is not definitely true. D and V: the chain gives D ≤ V, so D = V is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.

  6. If ‘+’ means ‘×’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘−’, what is the value of 26 + 2 × 4 − 2 ÷ 8?
    Question 76
    Answer and working

    Answer E

    Replace the signs: 26 × 2 ÷ 4 + 2 − 8. Division and multiplication first, then addition and subtraction: 7.

  7. In the English alphabet, which letter is 8th to the right of the 19th letter from the right?
    Question 77
    Answer and working

    Answer E

    The 19th letter from the right is H (position 8). 8 places to the right: position 16, which is P.

  8. Statements:
    (1) All bottles are planes.
    (2) All bottles are flowers.

    Conclusions:
    (I) Some flowers are planes.
    (II) Some planes are not bottles.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 78
    Answer and working

    Answer A

    Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: every one of the planes may be bottles. So: Only conclusion I follows.

  9. In a certain code, SISTER is written as HRHGVI. How is RIBBON written in that code?
    Question 79
    Answer and working

    Answer C

    From SISTER → HRHGVI: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to RIBBON: IRYYLM.

  10. Statements:
    (1) All bells are clocks.
    (2) All clocks are clouds.
    (3) All clouds are flowers.

    Conclusions:
    (I) No clouds are flowers.
    (II) All bells are flowers.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 80
    Answer and working

    Answer B

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

  11. Statement: J < U > M ≥ Z = N
    Conclusions: I. N < U   II. U > N
    Question 81
    Answer and working

    Answer E

    N and U: the chain gives N < U, so N < U is definitely true. U and N: the chain gives U > N, so U > N is definitely true. So: Both conclusions follow.

  12. Statements:
    (1) All tables are bottles.
    (2) All lamps are tables.
    (3) No lamps are phones.

    Conclusions:
    (I) All phones are lamps.
    (II) Some bottles are lamps.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 82
    Answer and working

    Answer B

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

  13. Which number replaces the question mark? 126, 217, 344, 513, 730, ?
    Question 83
    Answer and working

    Answer A

    The rule: the terms are 5³, 6³, 7³ … plus 1. The missing term is 1,001.

  14. In a class, Lata ranks 25th from the top and 30th from the bottom. How many students are in the class?
    Question 84
    Answer and working

    Answer D

    Lata is counted in both ranks, so the total is 25 + 30 − 1 = 54.

  15. If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 38 × 12 − 7 + 3 ÷ 6?
    Question 85
    Answer and working

    Answer E

    Replace the signs: 38 + 12 × 7 ÷ 3 − 6. Division and multiplication first, then addition and subtraction: 60.

  16. Pointing to a man in a photograph, Kavita said, ‘He is the father of my brother’s only niece.’ How is the man related to Kavita?
    Question 86
    Answer and working

    Answer E

    My brother’s only niece is my daughter, so he is my daughter’s father. So the man is Kavita’s husband.

  17. Statements:
    (1) All phones are kites.
    (2) All birds are phones.
    (3) Some birds are not bottles.

    Conclusions:
    (I) Some birds are phones.
    (II) No kites are birds.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 87
    Answer and working

    Answer A

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

  18. Q is the daughter of J. J is the brother of D. D is the wife of M. How is Q related to M?
    Question 88
    Answer and working

    Answer B

    Follow the links out from M: D is M’s wife; J is D’s brother; Q is J’s daughter. So Q is M’s niece.

  19. Which one does not belong with the others?
    Question 89
    Answer and working

    Answer C

    27, 343, 8, 1000 are cubes; 49 is a square, not a cube. The odd one is 49.

  20. In a certain code, LIGHT is written as NKIJV. How is CARPET written in that code?
    Question 90
    Answer and working

    Answer A

    From LIGHT → NKIJV: each letter moves 2 places forward. Applied to CARPET: ECTRGV.

  21. Pointing to a woman in a photograph, Rekha said, ‘She is the wife of my father’s only son.’ How is the woman related to Rekha?
    Question 91
    Answer and working

    Answer C

    My father’s only son is my brother; his wife is my sister-in-law. So the woman is Rekha’s sister-in-law.

  22. In the English alphabet, which letter is 8th to the left of the 4th letter from the right?
    Question 92
    Answer and working

    Answer C

    The 4th letter from the right is W (position 23). 8 places to the left: position 15, which is O.

  23. Find the wrong number in the series: 11, 14, 18, 23, 29, 39, 44
    Question 93
    Answer and working

    Answer E

    The rule: the differences grow by 1: 3, 4, 5, 6, 7, 8. The term in place of 39 should be 36, so the wrong number is 39.

  24. In a certain code, RIVER is written as SJWFS. How is BASKET written in that code?
    Question 94
    Answer and working

    Answer A

    From RIVER → SJWFS: each letter moves 1 place forward. Applied to BASKET: CBTLFU.

  25. Sana walks 5 km towards the north. She turns left and walks 5 km. She turns right and walks 15 km. She turns left and walks 10 km. How far, and in which direction, is she from the starting point?
    Question 95
    Answer and working

    Answer B

    Taking east and north as positive: she ends 15 km west and 20 km north of the start. Distance = √(15² + 20²) = 25 km. 25 km, north-west.

  26. Statement: Z ≤ H ≤ D ≤ N > R
    Conclusions: I. D = Z   II. D > Z
    Question 96
    Answer and working

    Answer C

    D and Z: the chain gives D ≥ Z, so D = Z is not definitely true. D and Z: the chain gives D ≥ Z, so D > Z is not definitely true. Together the two cover every possibility the chain allows. So: Either conclusion I or II follows.

  27. Tarun walks 7 km towards the west. He turns left and walks 5 km. He turns right and walks 12 km. He turns right and walks 9 km. In which direction is he from the starting point?
    Question 97
    Answer and working

    Answer C

    Taking east and north as positive: he ends 19 km west and 4 km north of the start, which is to the North-west.

  28. In a class, Farhan ranks 18th from the top and 9th from the bottom. How many students are in the class?
    Question 98
    Answer and working

    Answer C

    Farhan is counted in both ranks, so the total is 18 + 9 − 1 = 26.

  29. Statements:
    (1) No bottles are boxes.
    (2) All bags are bottles.
    (3) Some doors are not bags.

    Conclusions:
    (I) Some bottles are bags.
    (II) Some doors are not bottles.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 99
    Answer and working

    Answer A

    Conclusion I holds in every diagram the statements allow. Conclusion II need not hold: every one of the doors may be bottles. So: Only conclusion I follows.

  30. Statements:
    (1) Some roads are clouds.
    (2) All roads are papers.

    Conclusions:
    (I) Some papers are not clouds.
    (II) Some roads are papers.

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

    Answer B

    Conclusion I need not hold: every one of the papers may be clouds. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.