IBPS Clerk PrelimsPaper 4, booklet 2500107

Test booklet
प्रश्न पुस्तिका
Booklet No.
2500107
Series
A

IBPS Clerk Prelims Paper 4

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. Numerical Ability (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. 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

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

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

    Answer D

    Duplicitous (adjective) and Deceitful share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer E

    Whim (noun) and Impulse share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer D

    The opposite of reassure is Worry.

    Source: WordNet 3.1

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

    Answer D

    The opposite of stimulate is Stifle.

    Source: WordNet 3.1

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

    Answer C

    Gutsy (adjective) and Plucky share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer B

    Teensy (adjective) and Bitty 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.
    Commence
    Question 7
    Answer and working

    Answer B

    Commence (verb) and Start share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer D

    The correct spelling is sovereignty.

  9. Select the one word that can replace the given group of words.
    Remains on sidelines at social event
    Question 9
    Answer and working

    Answer A

    Wallflower: remains on sidelines at social event.

    Source: WordNet 3.1

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

    Answer A

    The correct spelling is resonance.

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

    Answer B

    The opposite of advance is Recede.

    Source: WordNet 3.1

  12. Select the one word that can replace the given group of words.
    Someone who takes vengeance
    Question 12
    Answer and working

    Answer C

    Avenger: someone who takes vengeance.

    Source: WordNet 3.1

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

    Answer C

    Groundwork (noun) and Basis 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.
    Someone who pays taxes
    Question 14
    Answer and working

    Answer A

    Taxpayer: someone who pays taxes.

    Source: WordNet 3.1

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

    Answer E

    The correct spelling is hopelessly.

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

    Answer B

    The correct spelling is difficulty.

  17. Select the word opposite in meaning to the given word.
    Windward
    Question 17
    Answer and working

    Answer A

    The opposite of windward is Leeward.

    Source: WordNet 3.1

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

    Answer C

    Descendants (noun) and Posterity 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.
    A person who shows no gratitude
    Question 19
    Answer and working

    Answer B

    Ingrate: a person who shows no gratitude.

    Source: WordNet 3.1

  20. Select the word closest in meaning to the given word.
    Prosper
    Question 20
    Answer and working

    Answer E

    Prosper (verb) and Thrive share their main meaning. None of the other options does.

    Source: WordNet 3.1

  21. Select the incorrectly spelt word.
    Question 21
    Answer and working

    Answer C

    fattally is wrong; it is spelt fatally. The others are correct.

  22. Select the correctly spelt word.
    Question 22
    Answer and working

    Answer A

    The correct spelling is gazette.

  23. Select the one word that can replace the given group of words.
    The contestant you hope to defeat
    Question 23
    Answer and working

    Answer E

    Competitor: the contestant you hope to defeat.

    Source: WordNet 3.1

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

    Answer B

    Circular (adjective) and Round share their main meaning. None of the other options does.

    Source: WordNet 3.1

  25. Select the word opposite in meaning to the given word.
    Sporadic
    Question 25
    Answer and working

    Answer A

    The opposite of sporadic is Continual.

    Source: WordNet 3.1

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

    Answer E

    The opposite of cooperation is Competition.

    Source: WordNet 3.1

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

    Answer C

    The correct spelling is inseparable.

  28. Select the one word that can replace the given group of words.
    An ecclesiastical dignitary usually ranking just below a bishop
    Question 28
    Answer and working

    Answer E

    Archdeacon: an ecclesiastical dignitary usually ranking just below a bishop.

    Source: WordNet 3.1

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

    Answer E

    emissery is wrong; it is spelt emissary. The others are correct.

  30. Select the incorrectly spelt word.
    Question 30
    Answer and working

    Answer B

    therrein is wrong; it is spelt therein. The others are correct.

Part BNumerical Ability

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

  1. An article bought for ₹1,350 is sold at a profit of 12%. What is its selling price?
    Question 31
    Answer and working

    Answer B

    SP = CP × (100 + profit%)/100 = 1,350 × 112/100 = ₹1,512.

  2. The average of 11 numbers is 39. When one number is removed, the average of the rest is 41. Which number was removed?
    Question 32
    Answer and working

    Answer E

    Total of 11 = 11 × 39 = 429. Total of 10 = 10 × 41 = 410. Removed = 429 − 410 = 19.

  3. The present ages of Asha and her elder brother are in the ratio 5 : 7. After 4 years, the ratio will be 3 : 4. What is Asha’s present age?
    Question 33
    Answer and working

    Answer E

    Ages 5x and 7x. (5x + 4) : (7x + 4) = 3 : 4 gives x = 4. Asha is 5 × 4 = 20 years.

  4. What is the compound interest on ₹66,250 for 2 years at 8% per annum, compounded annually?
    Question 34
    Answer and working

    Answer A

    Amount = 66,250 × (1 + 8/100)2 = ₹77,274. CI = 77,274 − 66,250 = ₹11,024.

  5. A shopkeeper marks an article 40% above its cost price and allows a discount of 25%. If the article was sold for ₹1,155, what was its cost price?
    Question 35
    Answer and working

    Answer D

    SP = CP × 1.4 × 0.75 = CP × 1.05. So CP = 1,155 ÷ 1.05 = ₹1,100.

  6. Which number replaces the question mark? 4, 5, 12, 39, 160, ?
    Question 36
    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 805.

  7. Simplify: 1⁄2 + 3⁄4 + 3⁄5
    Question 37
    Answer and working

    Answer A

    Over the common denominator 20: the sum is 37⁄20. Adding tops and bottoms separately (10/16) is the trap.

  8. What is the value of 93² − 69²?
    Question 38
    Answer and working

    Answer C

    a² − b² = (a + b)(a − b) = 162 × 24 = 3,888.

  9. A is four times as efficient as B. Together they finish a job in 24 days. How long would A take alone?
    Question 39
    Answer and working

    Answer B

    If B does 1 unit a day, A does 4; together 5 units a day for 24 days = 120 units. A alone: 120 ÷ 4 = 30 days.

  10. Solve both equations and compare x and y.
    I. x² − 11x = 0
    II. y² − y − 12 = 0
    Question 40
    Answer and working

    Answer E

    I gives x = 0 or 11. II gives y = −3 or 4. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  11. Simplify: 50 + 15 × 10 − 36 ÷ 9
    Question 41
    Answer and working

    Answer E

    Division and multiplication first: 15 × 10 = 150 and 36 ÷ 9 = 4. Then 50 + 150 − 4 = 196.

  12. Solve both equations and compare x and y.
    I. x² − 4x − 32 = 0
    II. y² + 6y − 27 = 0
    Question 42
    Answer and working

    Answer E

    I gives x = −4 or 8. 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.

  13. A sum of money becomes four times itself in 15 years at simple interest. What is the rate of interest per annum?
    Question 43
    Answer and working

    Answer D

    The interest earned is 3 times the principal in 15 years. Rate = 3 × 100 / 15 = 20%.

  14. Solve both equations and compare x and y.
    I. x² − 22x + 120 = 0
    II. y² − 2y − 15 = 0
    Question 44
    Answer and working

    Answer A

    I gives x = 10 or 12. II gives y = −3 or 5. Every x is greater than every y: x > y.

  15. Solve both equations and compare x and y.
    I. x² − x − 56 = 0
    II. y² + 12y + 32 = 0
    Question 45
    Answer and working

    Answer E

    I gives x = −7 or 8. II gives y = −8 or −4. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  16. What is the fourth proportional to 11, 18 and 88?
    Question 46
    Answer and working

    Answer B

    11 : 18 = 88 : x, so x = 18 × 88 ÷ 11 = 144.

  17. Directions for questions 47 to 51

    Study the table and answer the questions that follow.

    Saplings planted by five villages, in two successive years
    VillageYear 1Year 2
    Village P360504
    Village Q700560
    Village R400460
    Village S380494
    Village T7001,050
  18. What is the ratio of Village Q’s Year 1 figure to Village S’s Year 2 figure?
    Question 47
    Answer and working

    Answer A

    700 : 494 = 350 : 247.

  19. What is the average Year 2 figure of the five?
    Question 48
    Answer and working

    Answer B

    Sum of Year 2 = 3,068. ÷ 5 = 613.6.

  20. What is the total for Village T over the two years?
    Question 49
    Answer and working

    Answer C

    700 + 1,050 = 1,750.

  21. Which one grew the most in percentage terms from Year 1 to Year 2?
    Question 50
    Answer and working

    Answer A

    Growth: Village P 40%, Village Q −20%, Village R 15%, Village S 30%, Village T 50%. The highest is Village T.

  22. Village Q’s Year 2 figure is what percent of Village S’s Year 2 figure?
    Question 51
    Answer and working

    Answer A

    560 ÷ 494 × 100 = 113.36%.

  23. Which number replaces the question mark? 3, 9, 27, 81, 243, ?
    Question 52
    Answer and working

    Answer E

    The rule: each term is the previous × 3. The missing term is 729.

  24. One card is drawn at random from a well-shuffled pack of 52. What is the probability that it is neither a king nor a queen?
    Question 53
    Answer and working

    Answer A

    44 of the 52 cards qualify. Probability = 11⁄13.

  25. Which number replaces the question mark? 4, 5, 9, 18, 34, 59, ?
    Question 54
    Answer and working

    Answer E

    The rule: the differences are squares: 1, 4, 9, 16, 25, 36. The missing term is 95.

  26. What is 12% of 300?
    Question 55
    Answer and working

    Answer E

    12% of 300 = 300 × 12/100 = 36.

  27. What is √625 + √841 − √441?
    Question 56
    Answer and working

    Answer B

    25 + 29 − 21 = 33.

  28. Find the wrong number in the series: 5, 14, 32, 55, 91, 140, 204
    Question 57
    Answer and working

    Answer E

    The rule: the differences are squares: 9, 16, 25, 36, 49, 64. The term in place of 32 should be 30, so the wrong number is 32.

  29. A boat covers 33 km downstream in 3 hours and 27 km upstream in 3 hours. What is the speed of the boat in still water?
    Question 58
    Answer and working

    Answer D

    Downstream speed = 33 ÷ 3 = 11 km/h; upstream = 27 ÷ 3 = 9 km/h. Boat = (11 + 9) ÷ 2 = 10 km/h.

  30. 252 is what percent of 1,680?
    Question 59
    Answer and working

    Answer D

    252 ÷ 1,680 × 100 = 15%.

  31. Two trains 220 m and 170 m long run on parallel tracks in opposite directions at 67 km/h and 41 km/h. How long do they take to cross each other?
    Question 60
    Answer and working

    Answer B

    Relative speed = 67 + 41 = 108 km/h = 30 m/s. Distance = 220 + 170 = 390 m. Time = 390 ÷ 30 = 13 seconds.

  32. Find the wrong number in the series: 3, 9, 17, 27, 39, 49, 69
    Question 61
    Answer and working

    Answer B

    The rule: the differences grow by 2: 6, 8, 10, 12, 14, 16. The term in place of 49 should be 53, so the wrong number is 49.

  33. Simplify: 1⁄5 + 1⁄2 + 1⁄3
    Question 62
    Answer and working

    Answer C

    Over the common denominator 60: the sum is 31⁄30. Adding tops and bottoms separately (6/19) is the trap.

  34. In what ratio must rice at ₹53/kg be mixed with rice at ₹61/kg so that the mixture is worth ₹58/kg?
    Question 63
    Answer and working

    Answer D

    By alligation: cheaper : dearer = (61 − 58) : (58 − 53) = 3 : 5 = 3 : 5.

  35. Solve both equations and compare x and y.
    I. x² + 10x + 24 = 0
    II. y² + y − 12 = 0
    Question 64
    Answer and working

    Answer D

    I gives x = −6 or −4. II gives y = −4 or 3. No x is greater than any y, and one value of each is equal: x ≤ y.

  36. A bus goes from Pune to Nashik at 10 km/h and returns by the same road at 40 km/h. What is its average speed for the whole journey?
    Question 65
    Answer and working

    Answer B

    For equal distances, average speed = 2xy/(x + y) = 2 × 10 × 40 ÷ 50 = 16 km/h. The plain average, 25, ignores that the slower leg takes longer.

Part CReasoning Ability

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

  1. Statements:
    (1) No bells are birds.
    (2) All bells are stones.
    (3) Some roads are stones.

    Conclusions:
    (I) No roads are bells.
    (II) Some bells are not roads.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 66
    Answer and working

    Answer D

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

  2. Statement: R < E ≥ T ≥ F < L
    Conclusions: I. F < E   II. F = E
    Question 67
    Answer and working

    Answer C

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

  3. Statement: D > M ≤ T = C < K
    Conclusions: I. T < K   II. K ≤ T
    Question 68
    Answer and working

    Answer A

    T and K: the chain gives T < K, so T < K is definitely true. K and T: the chain gives K > T, so K ≤ T is not definitely true. So: Only conclusion I follows.

  4. J is the son of W. W is the sister of B. How is J related to B?
    Question 69
    Answer and working

    Answer E

    Follow the links out from B: W is B’s sister; J is W’s son. So J is B’s nephew.

  5. In the English alphabet, which letter is 7th to the left of the 15th letter from the left?
    Question 70
    Answer and working

    Answer B

    The 15th letter from the left is O (position 15). 7 places to the left: position 8, which is H.

  6. In a certain code, HORSE is written as IPSTF. How is EAGLE written in that code?
    Question 71
    Answer and working

    Answer B

    From HORSE → IPSTF: each letter moves 1 place forward. Applied to EAGLE: FBHMF.

  7. Statement: V > T > M ≥ U ≤ D
    Conclusions: I. V ≥ M   II. U < V
    Question 72
    Answer and working

    Answer E

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

  8. In the English alphabet, which letter is 5th to the right of the 19th letter from the left?
    Question 73
    Answer and working

    Answer B

    The 19th letter from the left is S (position 19). 5 places to the right: position 24, which is X.

  9. Tarun walks 5 km towards the east. He turns left and walks 10 km. He turns left and walks 7 km. He turns left and walks 10 km. He turns right and walks 11 km. How far is he from the starting point in a straight line?
    Question 74
    Answer and working

    Answer C

    Taking east and north as positive: he ends 13 km west and 0 km north of the start. Straight-line distance = √(13² + 0²) = 13 km.

  10. In a certain code, STAR is written as QRYP. How is WINDOW written in that code?
    Question 75
    Answer and working

    Answer B

    From STAR → QRYP: each letter moves 2 places back. Applied to WINDOW: UGLBMU.

  11. Directions for questions 76 to 80

    Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Divya sits third to the left of Chetan. Exactly 2 people sit between Arun and Esha. Esha sits at one of the two ends. Farhan sits somewhere to the right of Bina. Esha and Chetan sit next to each other.
  12. How many people sit between Esha and Farhan?
    Question 76
    Answer and working

    Answer D

    Only one order fits every clue, from the left: Bina, Divya, Arun, Farhan, Chetan, Esha. Between them: 1.

  13. What is Bina’s position from the left end?
    Question 77
    Answer and working

    Answer B

    Only one order fits every clue, from the left: Bina, Divya, Arun, Farhan, Chetan, Esha. 1st.

  14. Who sits at the extreme left end?
    Question 78
    Answer and working

    Answer A

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

  15. Who sits at the extreme right end?
    Question 79
    Answer and working

    Answer E

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

  16. Who sits immediately to the right of Bina?
    Question 80
    Answer and working

    Answer E

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

  17. Find the wrong number in the series: 19, 28, 47, 69, 105, 154, 218
    Question 81
    Answer and working

    Answer E

    The rule: the differences are squares: 9, 16, 25, 36, 49, 64. The term in place of 47 should be 44, so the wrong number is 47.

  18. In a certain code, FRIEND is written as FPGKTH. How is LADDER written in that code?
    Question 82
    Answer and working

    Answer C

    From FRIEND → FPGKTH: the word is written backwards and each letter moves 2 forward. Applied to LADDER: TGFFCN.

  19. Y is the sister of F. W is the daughter of Y. How is W related to F?
    Question 83
    Answer and working

    Answer D

    Follow the links out from F: Y is F’s sister; W is Y’s daughter. So W is F’s niece.

  20. Find the wrong number in the series: 13, 17, 19, 27, 29, 31, 37
    Question 84
    Answer and working

    Answer B

    The rule: consecutive prime numbers. The term in place of 27 should be 23, so the wrong number is 27.

  21. If ‘+’ means ‘×’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘−’, what is the value of 45 + 7 − 10 × 2 ÷ 2?
    Question 85
    Answer and working

    Answer E

    Replace the signs: 45 × 7 + 10 ÷ 2 − 2. Division and multiplication first, then addition and subtraction: 318.

  22. Statements:
    (1) No stones are clouds.
    (2) All clouds are papers.

    Conclusions:
    (I) Some clouds are not stones.
    (II) Some stones are not clouds.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 86
    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. In a class, Meena ranks 21st from the top and 25th from the bottom. How many students are in the class?
    Question 87
    Answer and working

    Answer E

    Meena is counted in both ranks, so the total is 21 + 25 − 1 = 45.

  24. Kabir walks 2 km towards the north. He turns left and walks 14 km. He turns left and walks 5 km. He turns right and walks 3 km. In which direction is he from the starting point?
    Question 88
    Answer and working

    Answer D

    Taking east and north as positive: he ends 17 km west and 3 km south of the start, which is to the South-west.

  25. Deepak walks 5 km towards the south. He turns right and walks 12 km. He turns left and walks 9 km. He turns left and walks 12 km. How far is he from the starting point in a straight line?
    Question 89
    Answer and working

    Answer B

    Taking east and north as positive: he ends 0 km east and 14 km south of the start. Straight-line distance = √(0² + 14²) = 14 km.

  26. Statements:
    (1) All clouds are fans.
    (2) All bottles are clouds.
    (3) No lamps are bottles.

    Conclusions:
    (I) Some lamps are not clouds.
    (II) Some lamps are not bottles.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 90
    Answer and working

    Answer B

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

  27. Statement: X = S ≥ W > R ≤ F
    Conclusions: I. X = W   II. X > W
    Question 91
    Answer and working

    Answer C

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

  28. Statement: Z ≥ F > E > W ≥ T
    Conclusions: I. F < W   II. Z ≥ W
    Question 92
    Answer and working

    Answer B

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

  29. In a certain code, MARKET is written as PDUNHW. How is MILK written in that code?
    Question 93
    Answer and working

    Answer D

    From MARKET → PDUNHW: each letter moves 3 places forward. Applied to MILK: PLON.

  30. Which one does not belong with the others?
    Question 94
    Answer and working

    Answer E

    In the others the letters are 1 apart (DEF); in ABD the last gap is 2. The odd one is ABD.

  31. Statements:
    (1) All birds are bottles.
    (2) Some birds are not trees.
    (3) Some trees are fans.

    Conclusions:
    (I) No fans are bottles.
    (II) Some bottles are not trees.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 95
    Answer and working

    Answer B

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

  32. In a row of 26 students, Lata is 21st from the left. What is Lata’s position from the right?
    Question 96
    Answer and working

    Answer C

    Position from the right = total − position from the left + 1 = 26 − 21 + 1 = 6th.

  33. Statements:
    (1) Some clocks are shirts.
    (2) All shirts are coins.
    (3) Some bottles are coins.

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

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

    Answer C

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

  34. Statements:
    (1) All lamps are roads.
    (2) No lamps are buses.

    Conclusions:
    (I) Some roads are buses.
    (II) No roads are buses.

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

    Answer C

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

  35. If ‘+’ means ‘÷’, ‘−’ means ‘+’, ‘×’ means ‘−’, ‘÷’ means ‘×’, what is the value of 37 − 11 ÷ 9 + 3 × 2?
    Question 99
    Answer and working

    Answer E

    Replace the signs: 37 + 11 × 9 ÷ 3 − 2. Division and multiplication first, then addition and subtraction: 68.

  36. Q is the brother of C. S is the wife of Q. How is S related to C?
    Question 100
    Answer and working

    Answer B

    Follow the links out from C: Q is C’s brother; S is Q’s wife. So S is C’s sister-in-law.