SBI PO PrelimsPaper 5, booklet 5015456

Test booklet
प्रश्न पुस्तिका
Booklet No.
5015456
Series
A

SBI PO Prelims Paper 5

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 incorrectly spelt word.
    Question 1
    Answer and working

    Answer D

    approximatily is wrong; it is spelt approximately. The others are correct.

  2. Select the one word that can replace the given group of words.
    A technician who is highly proficient and enthusiastic about some technical field
    Question 2
    Answer and working

    Answer D

    Techie: a technician who is highly proficient and enthusiastic about some technical field.

    Source: WordNet 3.1

  3. Select the word closest in meaning to the given word.
    Thaw
    Question 3
    Answer and working

    Answer E

    Thaw (verb) and Melt share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer A

    The opposite of affirmative is Negative.

    Source: WordNet 3.1

  5. Select the word opposite in meaning to the given word.
    Optimism
    Question 5
    Answer and working

    Answer E

    The opposite of optimism is Pessimism.

    Source: WordNet 3.1

  6. Select the word closest in meaning to the given word.
    Faithless
    Question 6
    Answer and working

    Answer B

    Faithless (adjective) and Traitorous share their main meaning. None of the other options does.

    Source: WordNet 3.1

  7. Select the word closest in meaning to the given word.
    Autonomous
    Question 7
    Answer and working

    Answer B

    Autonomous (adjective) and Independent share their main meaning. None of the other options does.

    Source: WordNet 3.1

  8. Select the word closest in meaning to the given word.
    Disruption
    Question 8
    Answer and working

    Answer D

    Disruption (noun) and Interruption share their main meaning. None of the other options does.

    Source: WordNet 3.1

  9. Select the word closest in meaning to the given word.
    Maritime
    Question 9
    Answer and working

    Answer E

    Maritime (adjective) and Nautical share their main meaning. None of the other options does.

    Source: WordNet 3.1

  10. Select the incorrectly spelt word.
    Question 10
    Answer and working

    Answer A

    correctionnal is wrong; it is spelt correctional. The others are correct.

  11. Select the word opposite in meaning to the given word.
    Potential
    Question 11
    Answer and working

    Answer D

    The opposite of potential is Actual.

    Source: WordNet 3.1

  12. Select the incorrectly spelt word.
    Question 12
    Answer and working

    Answer C

    constebulary is wrong; it is spelt constabulary. The others are correct.

  13. Select the correctly spelt word.
    Question 13
    Answer and working

    Answer E

    The correct spelling is pessimistic.

  14. Select the one word that can replace the given group of words.
    Someone who makes copies illegally
    Question 14
    Answer and working

    Answer B

    Counterfeiter: someone who makes copies illegally.

    Source: WordNet 3.1

  15. Select the word opposite in meaning to the given word.
    Punctuality
    Question 15
    Answer and working

    Answer B

    The opposite of punctuality is Tardiness.

    Source: WordNet 3.1

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

    Answer B

    Mouldy (adjective) and Musty share their main meaning. None of the other options does.

    Source: WordNet 3.1

  17. Select the one word that can replace the given group of words.
    Someone who is easily taken advantage of
    Question 17
    Answer and working

    Answer B

    Pushover: someone who is easily taken advantage of.

    Source: WordNet 3.1

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

    Answer E

    The correct spelling is addition.

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

    Answer E

    Sumptuous (adjective) and Luxurious share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer C

    solitiry is wrong; it is spelt solitary. The others are correct.

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

    Answer B

    The opposite of thrifty is Wasteful.

    Source: WordNet 3.1

  22. Select the word closest in meaning to the given word.
    Clumsiness
    Question 22
    Answer and working

    Answer D

    Clumsiness (noun) and Awkwardness share their main meaning. None of the other options does.

    Source: WordNet 3.1

  23. Select the one word that can replace the given group of words.
    A person employed to represent a business and to sell its merchandise
    Question 23
    Answer and working

    Answer E

    Salesperson: a person employed to represent a business and to sell its merchandise.

    Source: WordNet 3.1

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

    Answer A

    The correct spelling is unavailable.

  25. Select the one word that can replace the given group of words.
    Someone who tricks or coerces men into service as sailors or soldiers
    Question 25
    Answer and working

    Answer D

    Crimp: someone who tricks or coerces men into service as sailors or soldiers.

    Source: WordNet 3.1

  26. Select the word opposite in meaning to the given word.
    Forbid
    Question 26
    Answer and working

    Answer D

    The opposite of forbid is Permit. Interdict is the trap: it means the same, not the opposite.

    Source: WordNet 3.1

  27. Select the word opposite in meaning to the given word.
    Fragrant
    Question 27
    Answer and working

    Answer B

    The opposite of fragrant is Malodorous.

    Source: WordNet 3.1

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

    Answer C

    Lowly (adjective) and Humble 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.
    An assistant subject to the authority or control of another
    Question 29
    Answer and working

    Answer B

    Underling: an assistant subject to the authority or control of another.

    Source: WordNet 3.1

  30. Select the one word that can replace the given group of words.
    A noblewoman ranking below a duchess and above a countess
    Question 30
    Answer and working

    Answer D

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

    Source: WordNet 3.1

  31. Select the one word that can replace the given group of words.
    A medical specialist in the nervous system and the disorders affecting it
    Question 31
    Answer and working

    Answer E

    Neurologist: a medical specialist in the nervous system and the disorders affecting it.

    Source: WordNet 3.1

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

    Answer E

    The correct spelling is acceleration.

  33. Select the word opposite in meaning to the given word.
    Persuasive
    Question 33
    Answer and working

    Answer D

    The opposite of persuasive is Dissuasive.

    Source: WordNet 3.1

  34. Select the correctly spelt word.
    Question 34
    Answer and working

    Answer B

    The correct spelling is oddball.

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

    Answer B

    Embody (verb) and Incarnate share their main meaning. None of the other options does.

    Source: WordNet 3.1

  36. Select the correctly spelt word.
    Question 36
    Answer and working

    Answer A

    The correct spelling is symmetrical.

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

    Answer E

    deliverence is wrong; it is spelt deliverance. The others are correct.

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

    Answer E

    Yearly (adjective) and Annual 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.
    Expectancy
    Question 39
    Answer and working

    Answer A

    Expectancy (noun) and Anticipation share their main meaning. None of the other options does.

    Source: WordNet 3.1

  40. Select the incorrectly spelt word.
    Question 40
    Answer and working

    Answer E

    judeciary is wrong; it is spelt judiciary. The others are correct.

Part BQuantitative Aptitude

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

  1. ₹20,000 amounts to ₹25,088 in 2 years at compound interest, compounded annually. What is the rate of interest?
    Question 41
    Answer and working

    Answer E

    (1 + R/100)² = 25,088/20,000 = 1.2544, so 1 + R/100 = 1.12 and R = 12%. Dividing the interest equally between the years (simple interest) gives a wrong answer.

  2. Two trains 190 m and 250 m long run on parallel tracks in opposite directions at 61 km/h and 83 km/h. How long do they take to cross each other?
    Question 42
    Answer and working

    Answer A

    Relative speed = 61 + 83 = 144 km/h = 40 m/s. Distance = 190 + 250 = 440 m. Time = 440 ÷ 40 = 11 seconds.

  3. In what ratio must rice at ₹56/kg be mixed with rice at ₹92/kg so that the mixture is worth ₹82/kg?
    Question 43
    Answer and working

    Answer E

    By alligation: cheaper : dearer = (92 − 82) : (82 − 56) = 10 : 26 = 5 : 13.

  4. Solve both equations and compare x and y.
    I. x² + 13x + 36 = 0
    II. y² + 8y + 7 = 0
    Question 44
    Answer and working

    Answer E

    I gives x = −9 or −4. II gives y = −7 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.

  5. Two successive discounts of 30% and 20% are equal to a single discount of:
    Question 45
    Answer and working

    Answer B

    Single discount = 30 + 20 − (30 × 20)/100 = 44%. The second discount is taken on the already reduced price, so the two do not simply add.

  6. A number is first increased by 30% and then decreased by 20%. What is the net change?
    Question 46
    Answer and working

    Answer D

    Net effect = 30 − 20 − (30 × 20)/100 = 4%, so 4% increase.

  7. Solve both equations and compare x and y.
    I. x² − 15x + 50 = 0
    II. y² − 49 = 0
    Question 47
    Answer and working

    Answer E

    I gives x = 5 or 10. II gives y = −7 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. Solve both equations and compare x and y.
    I. x² − 8x = 0
    II. y² − 7y + 10 = 0
    Question 48
    Answer and working

    Answer E

    I gives x = 0 or 8. II gives y = 2 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. Solve both equations and compare x and y.
    I. x² − 21x + 108 = 0
    II. y² + 7y − 8 = 0
    Question 49
    Answer and working

    Answer A

    I gives x = 9 or 12. II gives y = −8 or 1. Every x is greater than every y: x > y.

  10. Solve both equations and compare x and y.
    I. x² − 21x + 110 = 0
    II. y² − 12y = 0
    Question 50
    Answer and working

    Answer E

    I gives x = 10 or 11. II gives y = 0 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.

  11. A boat covers 72 km downstream in 3 hours and 80 km upstream in 5 hours. What is the speed of the stream?
    Question 51
    Answer and working

    Answer E

    Downstream speed = 72 ÷ 3 = 24 km/h; upstream = 80 ÷ 5 = 16 km/h. Stream = (24 − 16) ÷ 2 = 4 km/h.

  12. Solve both equations and compare x and y.
    I. x² − 14x + 33 = 0
    II. y² − 9y + 14 = 0
    Question 52
    Answer and working

    Answer E

    I gives x = 3 or 11. II gives y = 2 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.

  13. Solve both equations and compare x and y.
    I. x² − 6x − 27 = 0
    II. y² − 8y + 15 = 0
    Question 53
    Answer and working

    Answer E

    I gives x = −3 or 9. II gives y = 3 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.

  14. What is the simple interest on ₹34,000 at 14% per annum for 4 years?
    Question 54
    Answer and working

    Answer A

    SI = P × R × T / 100 = 34,000 × 14 × 4 / 100 = ₹19,040.

  15. Simplify: 5⁄8 + 1⁄2 + 2⁄3
    Question 55
    Answer and working

    Answer D

    Over the common denominator 24: the sum is 43⁄24. Adding tops and bottoms separately (10/17) is the trap.

  16. Which number replaces the question mark? 2, 8, 26, 80, 242, 728, ?
    Question 56
    Answer and working

    Answer C

    The rule: each term is the previous × 3 + 2. The missing term is 2,186.

  17. If A : B = 4 : 5 and B : C = 9 : 5, what is A : B : C?
    Question 57
    Answer and working

    Answer E

    Make B the same in both: A : B = 36 : 45 and B : C = 45 : 25. So A : B : C = 36 : 45 : 25.

  18. Simplify: 5⁄6 + 1⁄2 + 3⁄4
    Question 58
    Answer and working

    Answer A

    Over the common denominator 24: the sum is 25⁄12. Adding tops and bottoms separately (12/18) is the trap.

  19. Three fair coins are tossed. What is the probability of getting exactly one head?
    Question 59
    Answer and working

    Answer C

    Of the 8 equally likely outcomes, 3 qualify. Probability = 3⁄8.

  20. 200 is what percent of 1,600?
    Question 60
    Answer and working

    Answer D

    200 ÷ 1,600 × 100 = 12.5%.

  21. What is √529 + √256 − √225?
    Question 61
    Answer and working

    Answer D

    23 + 16 − 15 = 24.

  22. The present ages of Asha and her elder brother are in the ratio 7 : 8. After 8 years, the ratio will be 8 : 9. What is Asha’s present age?
    Question 62
    Answer and working

    Answer C

    Ages 7x and 8x. (7x + 8) : (8x + 8) = 8 : 9 gives x = 8. Asha is 7 × 8 = 56 years.

  23. A and B together can do a job in 4 days. A alone can do it in 5 days. In how many days can B alone do it?
    Question 63
    Answer and working

    Answer B

    B’s one day = 1/4 − 1/5 = 1/20. B alone takes 20 days.

  24. An article bought for ₹900 is sold at a profit of 5%. What is its selling price?
    Question 64
    Answer and working

    Answer C

    SP = CP × (100 + profit%)/100 = 900 × 105/100 = ₹945.

  25. Solve both equations and compare x and y.
    I. x² − 14x + 40 = 0
    II. y² + 10y + 16 = 0
    Question 65
    Answer and working

    Answer A

    I gives x = 4 or 10. II gives y = −8 or −2. Every x is greater than every y: x > y.

  26. Section A has 32 students with an average score of 66; section B has 18 students averaging 41. What is the average score of both sections together?
    Question 66
    Answer and working

    Answer A

    (32 × 66 + 18 × 41) ÷ 50 = 2850 ÷ 50 = 57. The plain mean of 66 and 41 ignores the sizes of the sections.

  27. Simplify: 52 + 14 × 7 − 72 ÷ 8
    Question 67
    Answer and working

    Answer D

    Division and multiplication first: 14 × 7 = 98 and 72 ÷ 8 = 9. Then 52 + 98 − 9 = 141.

  28. Find the wrong number in the series: 17, 26, 35, 50, 65, 82, 101
    Question 68
    Answer and working

    Answer D

    The rule: the terms are 4², 5², 6² … plus 1. The term in place of 35 should be 37, so the wrong number is 35.

  29. Find the wrong number in the series: 4, 31, 11, 32, 18, 25, 25, 22
    Question 69
    Answer and working

    Answer E

    The rule: two series alternate: 4, 11, 18 … rising by 7, and 31, 28, 25 … falling by 3. The term in place of 32 should be 28, so the wrong number is 32.

  30. Which number replaces the question mark? 3, 4, 10, 33, ?, 685
    Question 70
    Answer and working

    Answer B

    The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 136.

Part CReasoning Ability

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

  1. In a certain code, FLOWER is written as QDVNKE. How is COAT written in that code?
    Question 71
    Answer and working

    Answer E

    From FLOWER → QDVNKE: the word is written backwards and each letter moves 1 back. Applied to COAT: SZNB.

  2. In the English alphabet, which letter is 6th to the right of the 19th letter from the right?
    Question 72
    Answer and working

    Answer A

    The 19th letter from the right is H (position 8). 6 places to the right: position 14, which is N.

  3. Statements:
    (1) Some leaves are cups.
    (2) All leaves are stones.
    (3) No stones are lamps.

    Conclusions:
    (I) No lamps are stones.
    (II) All lamps are cups.

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

    Answer A

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

  4. If ‘+’ means ‘−’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘×’, what is the value of 25 + 6 × 9 − 9 ÷ 4?
    Question 74
    Answer and working

    Answer B

    Replace the signs: 25 − 6 + 9 ÷ 9 × 4. Division and multiplication first, then addition and subtraction: 23.

  5. Statements:
    (1) All clouds are rings.
    (2) No clouds are roads.

    Conclusions:
    (I) All rings are roads.
    (II) No roads are clouds.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 75
    Answer and working

    Answer B

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

  6. Statement: E > N < U ≤ T > B
    Conclusions: I. B = E   II. E ≤ B
    Question 76
    Answer and working

    Answer D

    B and E: the signs between them point both ways, so no relation can be fixed, so B = E is not definitely true. E and B: the signs between them point both ways, so no relation can be fixed, so E ≤ B is not definitely true. So: Neither conclusion follows.

  7. Sunil walks 10 km towards the east. He turns right and walks 10 km. He turns right and walks 3 km. He turns left and walks 9 km. He turns right and walks 7 km. How far, and in which direction, is he from the starting point?
    Question 77
    Answer and working

    Answer C

    Taking east and north as positive: he ends 0 km east and 19 km south of the start. Distance = √(0² + 19²) = 19 km. 19 km, south.

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

    Answer A

    In the others the letters are 3 apart (GJM); in DGK the last gap is 4. The odd one is DGK.

  9. Which number replaces the question mark? 5, 10, 20, 40, 80, ?
    Question 79
    Answer and working

    Answer D

    The rule: each term is the previous × 2. The missing term is 160.

  10. Statements:
    (1) All tables are watches.
    (2) Some stones are tables.

    Conclusions:
    (I) Some watches are not stones.
    (II) Some tables are not stones.

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

    Answer D

    Conclusion I need not hold: every one of the watches may be stones. Conclusion II need not hold: every one of the tables may be stones. So: Neither conclusion follows.

  11. In a class, Meena ranks 15th from the top and 12th from the bottom. How many students are in the class?
    Question 81
    Answer and working

    Answer E

    Meena is counted in both ranks, so the total is 15 + 12 − 1 = 26.

  12. In a class, Neha ranks 16th from the top and 7th from the bottom. How many students are in the class?
    Question 82
    Answer and working

    Answer B

    Neha is counted in both ranks, so the total is 16 + 7 − 1 = 22.

  13. In a certain code, WINDOW is written as DRMWLD. How is MARKET written in that code?
    Question 83
    Answer and working

    Answer E

    From WINDOW → DRMWLD: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to MARKET: NZIPVG.

  14. Statements:
    (1) All shirts are buses.
    (2) Some clocks are buses.
    (3) Some clocks are birds.

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

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 84
    Answer and working

    Answer D

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

  15. In a certain code, KNIFE is written as ILGDC. How is BOOK written in that code?
    Question 85
    Answer and working

    Answer E

    From KNIFE → ILGDC: each letter moves 2 places back. Applied to BOOK: ZMMI.

  16. Statement: S > Q = M = N > T
    Conclusions: I. T < S   II. S > M
    Question 86
    Answer and working

    Answer E

    T and S: the chain gives T < S, so T < S is definitely true. S and M: the chain gives S > M, so S > M is definitely true. So: Both conclusions follow.

  17. Statement: A > F > T ≥ H > L
    Conclusions: I. F = H   II. H < F
    Question 87
    Answer and working

    Answer B

    F and H: the chain gives F > H, so F = H is not definitely true. H and F: the chain gives H < F, so H < F is definitely true. So: Only conclusion II follows.

  18. Statements:
    (1) No buses are lamps.
    (2) All buses are clouds.
    (3) Some flowers are clouds.

    Conclusions:
    (I) All lamps are flowers.
    (II) All lamps are buses.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 88
    Answer and working

    Answer D

    Conclusion I need not hold: some lamps may lie outside flowers. Conclusion II need not hold: some lamps may lie outside buses. So: Neither conclusion follows.

  19. Sunil walks 10 km towards the north. He turns right and walks 7 km. He turns right and walks 4 km. He turns right and walks 7 km. How far, and in which direction, is he from the starting point?
    Question 89
    Answer and working

    Answer C

    Taking east and north as positive: he ends 0 km east and 6 km north of the start. Distance = √(0² + 6²) = 6 km. 6 km, north.

  20. In the English alphabet, which letter is 8th to the right of the 10th letter from the left?
    Question 90
    Answer and working

    Answer B

    The 10th letter from the left is J (position 10). 8 places to the right: position 18, which is R.

  21. Statements:
    (1) Some clouds are rivers.
    (2) Some rings are not rivers.
    (3) All rings are cups.

    Conclusions:
    (I) Some clouds are rings.
    (II) All rings are clouds.

    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: clouds and rings need not overlap at all. Conclusion II need not hold: some rings may lie outside clouds. So: Neither conclusion follows.

  22. Statement: F ≥ Q ≥ P = T ≤ J
    Conclusions: I. T = Q   II. T < Q
    Question 92
    Answer and working

    Answer C

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

  23. If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, what is the value of 60 − 6 × 2 ÷ 20 + 11?
    Question 93
    Answer and working

    Answer E

    Replace the signs: 60 × 6 ÷ 2 + 20 − 11. Division and multiplication first, then addition and subtraction: 189.

  24. Pointing to a woman in a photograph, Pooja said, ‘She is the only daughter of my father’s mother.’ How is the woman related to Pooja?
    Question 94
    Answer and working

    Answer D

    My father’s mother’s only daughter is my father’s sister. So the woman is Pooja’s aunt.

  25. Pointing to a woman in a photograph, Rekha said, ‘She is the daughter of my grandfather’s only son.’ How is the woman related to Rekha?
    Question 95
    Answer and working

    Answer D

    My grandfather’s only son is my father; his child, other than me, is my brother or sister. So the woman is Rekha’s sister.

  26. Which number replaces the question mark? 3, 70, 10, 65, 17, 60, 24, ?
    Question 96
    Answer and working

    Answer B

    The rule: two series alternate: 3, 10, 17 … rising by 7, and 70, 65, 60 … falling by 5. The missing term is 55.

  27. Statements:
    (1) Some clouds are books.
    (2) No books are rings.

    Conclusions:
    (I) No rings are books.
    (II) Some books are not clouds.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 97
    Answer and working

    Answer A

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

  28. Statements:
    (1) All tables are leaves.
    (2) Some leaves are not cups.
    (3) Some birds are not cups.

    Conclusions:
    (I) Some tables are not birds.
    (II) All cups are birds.

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

    Answer D

    Conclusion I need not hold: every one of the tables may be birds. Conclusion II need not hold: some cups may lie outside birds. So: Neither conclusion follows.

  29. Sunil walks 4 km towards the west. He turns right and walks 7 km. He turns right and walks 4 km. How far is he from the starting point in a straight line?
    Question 99
    Answer and working

    Answer C

    Taking east and north as positive: he ends 0 km east and 7 km north of the start. Straight-line distance = √(0² + 7²) = 7 km.

  30. Z is the father of Q. C is the wife of B. B is the brother of Z. How is C related to Q?
    Question 100
    Answer and working

    Answer C

    Follow the links out from Q: Z is Q’s father; B is Z’s brother; C is B’s wife. So C is Q’s aunt.