IBPS PO PrelimsPaper 1, booklet 5611057

Test booklet
प्रश्न पुस्तिका
Booklet No.
5611057
Series
A

IBPS PO Prelims Paper 1

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 (30), B. Quantitative Aptitude (35), C. Reasoning Ability (35).
  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. Marks per question are shown with each part. Negative marking differs by part, as in the notice. 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

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

  1. Select the correctly spelt word.
    Question 1
    Answer and working

    Answer E

    The correct spelling is differentiate.

  2. Select the word closest in meaning to the given word.
    Overconfident
    Question 2
    Answer and working

    Answer D

    Overconfident (adjective) and Cocksure share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer B

    The correct spelling is deliverance.

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

    Answer D

    The opposite of lender is Borrower.

    Source: WordNet 3.1

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

    Answer A

    Immaculate (adjective) and Spotless share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer A

    The correct spelling is equally.

  7. Select the one word that can replace the given group of words.
    Laborer who works in a mine
    Question 7
    Answer and working

    Answer C

    Miner: laborer who works in a mine.

    Source: WordNet 3.1

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

    Answer D

    The correct spelling is culinary.

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

    Answer E

    Dictatorship (noun) and Tyranny share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer E

    The correct spelling is relentlessly.

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

    Answer D

    The opposite of frivolous is Serious.

    Source: WordNet 3.1

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

    Answer B

    Ambience (noun) and Atmosphere share their main meaning. None of the other options does.

    Source: WordNet 3.1

  13. Select the word closest in meaning to the given word.
    Gabby
    Question 13
    Answer and working

    Answer E

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

    Source: WordNet 3.1

  14. Select the one word that can replace the given group of words.
    An engineer who determines the boundaries and elevations of land or structures
    Question 14
    Answer and working

    Answer C

    Surveyor: an engineer who determines the boundaries and elevations of land or structures.

    Source: WordNet 3.1

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

    Answer A

    The opposite of windward is Leeward.

    Source: WordNet 3.1

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

    Answer D

    The correct spelling is puppeteer.

  17. Select the one word that can replace the given group of words.
    A scientist who studies living organisms
    Question 17
    Answer and working

    Answer B

    Biologist: a scientist who studies living organisms.

    Source: WordNet 3.1

  18. Select the word closest in meaning to the given word.
    Tiredness
    Question 18
    Answer and working

    Answer E

    Tiredness (noun) and Fatigue share their main meaning. None of the other options does.

    Source: WordNet 3.1

  19. Select the one word that can replace the given group of words.
    Someone who collects and pays bets at a gaming table
    Question 19
    Answer and working

    Answer B

    Croupier: someone who collects and pays bets at a gaming table.

    Source: WordNet 3.1

  20. Select the word opposite in meaning to the given word.
    Curly
    Question 20
    Answer and working

    Answer B

    The opposite of curly is Straight.

    Source: WordNet 3.1

  21. Select the one word that can replace the given group of words.
    A person who has abnormally low blood pressure
    Question 21
    Answer and working

    Answer E

    Hypotensive: a person who has abnormally low blood pressure.

    Source: WordNet 3.1

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

    Answer A

    The opposite of downstairs is Upstairs.

    Source: WordNet 3.1

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

    Answer E

    The opposite of awake is Asleep.

    Source: WordNet 3.1

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

    Answer A

    The correct spelling is unofficially.

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

    Answer B

    Stony (adjective) and Rocky share their main meaning. None of the other options does.

    Source: WordNet 3.1

  26. Select the word closest in meaning to the given word.
    Fanatical
    Question 26
    Answer and working

    Answer C

    Fanatical (adjective) and Rabid share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer A

    The correct spelling is supposition.

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

    Answer B

    The correct spelling is illogical.

  29. Select the word closest in meaning to the given word.
    Valour
    Question 29
    Answer and working

    Answer D

    Valour (noun) and Heroism share their main meaning. None of the other options does.

    Source: WordNet 3.1

  30. Select the one word that can replace the given group of words.
    An official who enlists personnel for military service
    Question 30
    Answer and working

    Answer D

    Recruiter: an official who enlists personnel for military service.

    Source: WordNet 3.1

Part BQuantitative Aptitude

35 questions, 0.86 marks each, 0.21 off for a wrong answer

  1. A train 180 m long crosses a platform 150 m long in 11 seconds. What is the speed of the train?
    Question 31
    Answer and working

    Answer B

    It must cover its own length and the platform: 180 + 150 = 330 m in 11 s, so 30 m/s = 30 × 18/5 = 108 km/h.

  2. Solve both equations and compare x and y.
    I. x² + 6x − 27 = 0
    II. y² + y = 0
    Question 32
    Answer and working

    Answer E

    I gives x = −9 or 3. II gives y = −1 or 0. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  3. Find the wrong number in the series: 5, 14, 41, 122, 361, 1,094, 3,281
    Question 33
    Answer and working

    Answer D

    The rule: each term is the previous × 3 − 1. The term in place of 361 should be 365, so the wrong number is 361.

  4. A boat covers 40 km downstream in 2 hours and 108 km upstream in 6 hours. What is the speed of the boat in still water?
    Question 34
    Answer and working

    Answer C

    Downstream speed = 40 ÷ 2 = 20 km/h; upstream = 108 ÷ 6 = 18 km/h. Boat = (20 + 18) ÷ 2 = 19 km/h.

  5. A trader buys a bicycle for ₹650 and sells it for ₹455. What is the profit or loss percent?
    Question 35
    Answer and working

    Answer E

    Loss = ₹195. As a percent of the cost price: 195 ÷ 650 × 100 = 30% loss.

  6. Which number replaces the question mark? 9, 28, 65, 126, ?, 344
    Question 36
    Answer and working

    Answer C

    The rule: the terms are 2³, 3³, 4³ … plus 1. The missing term is 217.

  7. In what ratio must rice at ₹49/kg be mixed with rice at ₹64/kg so that the mixture is worth ₹59/kg?
    Question 37
    Answer and working

    Answer B

    By alligation: cheaper : dearer = (64 − 59) : (59 − 49) = 5 : 10 = 1 : 2.

  8. A train 210 m long crosses a platform 250 m long in 23 seconds. What is the speed of the train?
    Question 38
    Answer and working

    Answer A

    It must cover its own length and the platform: 210 + 250 = 460 m in 23 s, so 20 m/s = 20 × 18/5 = 72 km/h.

  9. What is the value of 56² − 32²?
    Question 39
    Answer and working

    Answer E

    a² − b² = (a + b)(a − b) = 88 × 24 = 2,112.

  10. Which number replaces the question mark? 6, 7, 16, 51, 208, ?
    Question 40
    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 1,045.

  11. A shopkeeper marks an article 50% above its cost price and allows a discount of 20%. If the article was sold for ₹3,240, what was its cost price?
    Question 41
    Answer and working

    Answer B

    SP = CP × 1.5 × 0.8 = CP × 1.2. So CP = 3,240 ÷ 1.2 = ₹2,700.

  12. The simple interest on a sum for 3 years at 8% per annum is ₹11,400. What is the sum?
    Question 42
    Answer and working

    Answer D

    P = SI × 100 / (R × T) = 11,400 × 100 / (8 × 3) = ₹47,500.

  13. Find the wrong number in the series: 29, 31, 34, 41, 43, 47, 53
    Question 43
    Answer and working

    Answer A

    The rule: consecutive prime numbers. The term in place of 34 should be 37, so the wrong number is 34.

  14. The sum of the present ages of a father and his son is 54 years. 2 years ago, the father was 4 times as old as the son. How old is the son now?
    Question 44
    Answer and working

    Answer E

    Let the son be s. Then (54 − s − 2) = 4(s − 2), so 60 = 5s and s = 12 years.

  15. Three fair coins are tossed. What is the probability of getting at most one head?
    Question 45
    Answer and working

    Answer D

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

  16. What is √400 + √784 − √900?
    Question 46
    Answer and working

    Answer C

    20 + 28 − 30 = 18.

  17. Solve both equations and compare x and y.
    I. x² − 13x + 12 = 0
    II. y² − y − 56 = 0
    Question 47
    Answer and working

    Answer E

    I gives x = 1 or 12. II gives y = −7 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.

  18. Simplify: 84 + 9 × 4 − 18 ÷ 3
    Question 48
    Answer and working

    Answer A

    Division and multiplication first: 9 × 4 = 36 and 18 ÷ 3 = 6. Then 84 + 36 − 6 = 114.

  19. A is four times as efficient as B. Together they finish a job in 48 days. How long would A take alone?
    Question 49
    Answer and working

    Answer E

    If B does 1 unit a day, A does 4; together 5 units a day for 48 days = 240 units. A alone: 240 ÷ 4 = 60 days.

  20. Solve both equations and compare x and y.
    I. x² − 3x − 40 = 0
    II. y² − 11y + 10 = 0
    Question 50
    Answer and working

    Answer E

    I gives x = −5 or 8. II gives y = 1 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.

  21. ₹13,200 is divided among Meera, Arjun and Kavya in the ratio 2 : 3 : 7. What is Arjun’s share?
    Question 51
    Answer and working

    Answer A

    Total parts = 2 + 3 + 7 = 12. Arjun gets 3/12 × 13,200 = ₹3,300.

  22. Solve both equations and compare x and y.
    I. x² + 14x + 45 = 0
    II. y² − 6y + 8 = 0
    Question 52
    Answer and working

    Answer C

    I gives x = −9 or −5. II gives y = 2 or 4. Every x is smaller than every y: x < y.

  23. Simplify: 3⁄5 + 1⁄2 + 1⁄2
    Question 53
    Answer and working

    Answer C

    Over the common denominator 30: the sum is 8⁄5. Adding tops and bottoms separately (7/13) is the trap.

  24. What is the average of the first 54 even numbers?
    Question 54
    Answer and working

    Answer B

    The first 54 even numbers add up to 54 × 55 = 2970; the average is 55.

  25. ₹90,000 amounts to ₹99,225 in 2 years at compound interest, compounded annually. What is the rate of interest?
    Question 55
    Answer and working

    Answer E

    (1 + R/100)² = 99,225/90,000 = 1.1025, so 1 + R/100 = 1.05 and R = 5%. Dividing the interest equally between the years (simple interest) gives a wrong answer.

  26. What is √625 + √144 − √841?
    Question 56
    Answer and working

    Answer A

    25 + 12 − 29 = 8.

  27. Solve both equations and compare x and y.
    I. x² − x − 2 = 0
    II. y² − 7y − 30 = 0
    Question 57
    Answer and working

    Answer E

    I gives x = −1 or 2. II gives y = −3 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.

  28. 910 is what percent of 1,040?
    Question 58
    Answer and working

    Answer A

    910 ÷ 1,040 × 100 = 87.5%.

  29. Find the wrong number in the series: 6, 11, 16, 30, 44, 61, 81
    Question 59
    Answer and working

    Answer D

    The rule: the differences grow by 3: 5, 8, 11, 14, 17, 20. The term in place of 16 should be 19, so the wrong number is 16.

  30. The population of a town is 75,800. It grows by 10% every year. What will it be after 2 years?
    Question 60
    Answer and working

    Answer C

    75,800 × (1 + 10/100)² = 75,800 × 1.21 = 91,718. Growing 10% on 75,800 twice, not 20% once.

  31. Directions for questions 61 to 65

    Study the table and answer the questions that follow.

    Saplings planted by five villages, in two successive years
    VillageYear 1Year 2
    Village P700875
    Village Q360450
    Village R600720
    Village S240264
    Village T540486
  32. What is the total for Village Q over the two years?
    Question 61
    Answer and working

    Answer D

    360 + 450 = 810.

  33. Village P’s Year 2 figure is what percent of Village R’s Year 2 figure?
    Question 62
    Answer and working

    Answer D

    875 ÷ 720 × 100 = 121.53%.

  34. What is the ratio of Village T’s Year 1 figure to Village P’s Year 2 figure?
    Question 63
    Answer and working

    Answer C

    540 : 875 = 108 : 175.

  35. By what percent did Village Q’s figure change from Year 1 to Year 2?
    Question 64
    Answer and working

    Answer B

    Change = 450 − 360 = 90. On Year 1: 90 ÷ 360 × 100 = 25% increase.

  36. What is the average Year 2 figure of the five?
    Question 65
    Answer and working

    Answer A

    Sum of Year 2 = 2,795. ÷ 5 = 559.

Part CReasoning Ability

35 questions, 1.14 marks each, 0.29 off for a wrong answer

  1. Vijay walks 6 km towards the east. He turns right and walks 14 km. He turns left and walks 6 km. He turns right and walks 4 km. He turns left and walks 2 km. Which direction is he facing now?
    Question 66
    Answer and working

    Answer E

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

  2. Pointing to a man in a photograph, Asha said, ‘He is the father of my brother’s only niece.’ How is the man related to Asha?
    Question 67
    Answer and working

    Answer D

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

  3. In a class, Ravi ranks 14th from the top and 20th from the bottom. How many students are in the class?
    Question 68
    Answer and working

    Answer B

    Ravi is counted in both ranks, so the total is 14 + 20 − 1 = 33.

  4. Statements:
    (1) No kites are birds.
    (2) No phones are kites.
    (3) All papers are phones.

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

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 69
    Answer and working

    Answer C

    Conclusion I need not hold: birds and phones may overlap. Conclusion II need not hold: birds and phones need not overlap at all. But the two cannot both be false: in every diagram exactly one of them is true. So: Either conclusion I or II follows.

  5. Pointing to a man in a photograph, Sana said, ‘His mother is the only daughter of my mother.’ How is the man related to Sana?
    Question 70
    Answer and working

    Answer A

    The only daughter of my mother is me, so I am the mother. So the man is Sana’s son.

  6. Statements:
    (1) All rings are lamps.
    (2) Some doors are lamps.

    Conclusions:
    (I) Some rings are lamps.
    (II) Some rings are not lamps.

    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: every one of the rings may be lamps. So: Only conclusion I follows.

  7. Directions for questions 72 to 76

    Five friends, Arun, Bina, Chetan, Divya and Esha, sit in a row facing north. Arun sits immediately to the left of Divya. Exactly 3 people sit between Divya and Bina. Chetan sits immediately to the right of Esha.
  8. Who sits at the extreme right end?
    Question 72
    Answer and working

    Answer C

    Only one order fits every clue, from the left: Bina, Esha, Chetan, Arun, Divya. Divya.

  9. Who sits at the extreme left end?
    Question 73
    Answer and working

    Answer B

    Only one order fits every clue, from the left: Bina, Esha, Chetan, Arun, Divya. Bina.

  10. What is Esha’s position from the left end?
    Question 74
    Answer and working

    Answer E

    Only one order fits every clue, from the left: Bina, Esha, Chetan, Arun, Divya. 2nd.

  11. How many people sit between Divya and Esha?
    Question 75
    Answer and working

    Answer D

    Only one order fits every clue, from the left: Bina, Esha, Chetan, Arun, Divya. Between them: 2.

  12. Which pair sits at the two ends of the row?
    Question 76
    Answer and working

    Answer C

    Only one order fits every clue, from the left: Bina, Esha, Chetan, Arun, Divya. Bina and Divya.

  13. Statements:
    (1) No leaves are pens.
    (2) All buses are leaves.
    (3) No birds are buses.

    Conclusions:
    (I) Some buses are not pens.
    (II) All birds are pens.

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

    Answer A

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

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

    Answer D

    324, 225, 121, 289 are perfect squares; 88 is not. The odd one is 88.

  15. Statements:
    (1) All books are chairs.
    (2) Some pens are not chairs.

    Conclusions:
    (I) All pens are chairs.
    (II) All chairs are books.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 79
    Answer and working

    Answer D

    Conclusion I need not hold: some pens may lie outside chairs. Conclusion II need not hold: some chairs may lie outside books. So: Neither conclusion follows.

  16. Statements:
    (1) Some clouds are fans.
    (2) All buses are clouds.
    (3) No bags are buses.

    Conclusions:
    (I) All bags are buses.
    (II) No buses are bags.

    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: some bags may lie outside buses. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.

  17. Statement: N ≤ R ≤ H < Y < A
    Conclusions: I. R ≤ Y   II. H > A
    Question 81
    Answer and working

    Answer A

    R and Y: the chain gives R < Y, so R ≤ Y is definitely true. H and A: the chain gives H < A, so H > A is not definitely true. So: Only conclusion I follows.

  18. Statement: U > Z > T = E ≤ P
    Conclusions: I. U > E   II. Z > E
    Question 82
    Answer and working

    Answer E

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

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

    Answer C

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

  20. Which number replaces the question mark? 5, 17, 53, 161, ?, 1,457
    Question 84
    Answer and working

    Answer D

    The rule: each term is the previous × 3 + 2. The missing term is 485.

  21. Which number replaces the question mark? 13, 17, 19, 23, 29, 31, ?
    Question 85
    Answer and working

    Answer D

    The rule: consecutive prime numbers. The missing term is 37.

  22. If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, what is the value of 6 ÷ 8 + 4 × 4 − 9?
    Question 86
    Answer and working

    Answer E

    Replace the signs: 6 + 8 − 4 ÷ 4 × 9. Division and multiplication first, then addition and subtraction: 5.

  23. In a certain code, MILK is written as OKNM. How is SILVER written in that code?
    Question 87
    Answer and working

    Answer C

    From MILK → OKNM: each letter moves 2 places forward. Applied to SILVER: UKNXGT.

  24. In the English alphabet, which letter is 3rd to the right of the 5th letter from the left?
    Question 88
    Answer and working

    Answer D

    The 5th letter from the left is E (position 5). 3 places to the right: position 8, which is H.

  25. Pointing to a woman in a photograph, Kabir said, ‘She is the only daughter of my father’s mother.’ How is the woman related to Kabir?
    Question 89
    Answer and working

    Answer E

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

  26. Sunil walks 11 km towards the north. He turns right and walks 15 km. He turns right and walks 11 km. How far, and in which direction, is he from the starting point?
    Question 90
    Answer and working

    Answer E

    Taking east and north as positive: he ends 15 km east and 0 km north of the start. Distance = √(15² + 0²) = 15 km. 15 km, east.

  27. In a certain code, GLASS is written as IJCQU. How is SHIP written in that code?
    Question 91
    Answer and working

    Answer C

    From GLASS → IJCQU: letters in odd places move 2 forward, letters in even places move 2 back. Applied to SHIP: UFKN.

  28. In a queue, Ravi is 20th from the front and Dev is 36th from the front. How many people stand between them?
    Question 92
    Answer and working

    Answer D

    Between positions 20 and 36 there are 36 − 20 − 1 = 15 people.

  29. Statements:
    (1) All flowers are doors.
    (2) Some roads are doors.
    (3) Some roads are kites.

    Conclusions:
    (I) No kites are doors.
    (II) All roads are doors.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 93
    Answer and working

    Answer D

    Conclusion I need not hold: kites and doors may overlap. Conclusion II need not hold: some roads may lie outside doors. So: Neither conclusion follows.

  30. Statement: G < R = J < M > K
    Conclusions: I. M ≥ G   II. K > J
    Question 94
    Answer and working

    Answer A

    M and G: the chain gives M > G, so M ≥ G is definitely true. K and J: the signs between them point both ways, so no relation can be fixed, so K > J is not definitely true. So: Only conclusion I follows.

  31. Statement: H > E > U ≥ B > D
    Conclusions: I. U > D   II. U < D
    Question 95
    Answer and working

    Answer A

    U and D: the chain gives U > D, so U > D is definitely true. U and D: the chain gives U > D, so U < D is not definitely true. So: Only conclusion I follows.

  32. If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, what is the value of 10 + 8 − 3 × 12 ÷ 6?
    Question 96
    Answer and working

    Answer D

    Replace the signs: 10 − 8 × 3 ÷ 12 + 6. Division and multiplication first, then addition and subtraction: 14.

  33. In the English alphabet, which letter is 4th to the right of the 5th letter from the left?
    Question 97
    Answer and working

    Answer E

    The 5th letter from the left is E (position 5). 4 places to the right: position 9, which is I.

  34. Rekha walks 12 km towards the north. She turns left and walks 5 km. She turns right and walks 12 km. She turns right and walks 15 km. How far is she from the starting point in a straight line?
    Question 98
    Answer and working

    Answer E

    Taking east and north as positive: she ends 10 km east and 24 km north of the start. Straight-line distance = √(10² + 24²) = 26 km.

  35. Statement: V > P ≤ Q ≤ X < Y
    Conclusions: I. P = X   II. P < X
    Question 99
    Answer and working

    Answer C

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

  36. In a certain code, PLANT is written as KOZMG. How is CLOUD written in that code?
    Question 100
    Answer and working

    Answer D

    From PLANT → KOZMG: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to CLOUD: XOLFW.