SBI Clerk PrelimsPaper 4, booklet 8895312

Test booklet
प्रश्न पुस्तिका
Booklet No.
8895312
Series
C

SBI 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.
    Propensity
    Question 1
    Answer and working

    Answer C

    Propensity (noun) and Tendency share their main meaning. None of the other options does.

    Source: WordNet 3.1

  2. Select the one word that can replace the given group of words.
    A girl who behaves in a boyish manner
    Question 2
    Answer and working

    Answer A

    Tomboy: a girl who behaves in a boyish manner.

    Source: WordNet 3.1

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

    Answer D

    accelerition is wrong; it is spelt acceleration. The others are correct.

  4. Select the word closest in meaning to the given word.
    Gusto
    Question 4
    Answer and working

    Answer D

    Gusto (noun) and Relish share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer A

    The opposite of abundant is Scarce.

    Source: WordNet 3.1

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

    Answer C

    The correct spelling is indescribable.

  7. Select the one word that can replace the given group of words.
    One who accompanies and supervises a young woman or gatherings of young people
    Question 7
    Answer and working

    Answer B

    Chaperone: one who accompanies and supervises a young woman or gatherings of young people.

    Source: WordNet 3.1

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

    Answer A

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

    Source: WordNet 3.1

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

    Answer C

    The correct spelling is conceivable.

  10. Select the one word that can replace the given group of words.
    Someone who arranges marriages for others
    Question 10
    Answer and working

    Answer B

    Matchmaker: someone who arranges marriages for others.

    Source: WordNet 3.1

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

    Answer B

    The opposite of joyful is Sorrowful.

    Source: WordNet 3.1

  12. Select the one word that can replace the given group of words.
    An attendant who carries the golf clubs for a player
    Question 12
    Answer and working

    Answer A

    Caddie: an attendant who carries the golf clubs for a player.

    Source: WordNet 3.1

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

    Answer C

    Tremendous (adjective) and Enormous share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer D

    passagge is wrong; it is spelt passage. The others are correct.

  15. Select the one word that can replace the given group of words.
    An assistant or second-in-command to a chief
    Question 15
    Answer and working

    Answer E

    Underboss: an assistant or second-in-command to a chief.

    Source: WordNet 3.1

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

    Answer E

    Hasten (verb) and Hurry 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.
    Topic
    Question 17
    Answer and working

    Answer D

    Topic (noun) and Subject 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 C

    The correct spelling is chandelier.

  19. Select the word opposite in meaning to the given word.
    Advance
    Question 19
    Answer and working

    Answer A

    The opposite of advance is Recede.

    Source: WordNet 3.1

  20. Select the one word that can replace the given group of words.
    Any woman who serves as a sponsor for a child at baptism
    Question 20
    Answer and working

    Answer A

    Godmother: any woman who serves as a sponsor for a child at baptism.

    Source: WordNet 3.1

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

    Answer E

    The correct spelling is accommodation.

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

    Answer B

    Calamity (noun) and Disaster share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer B

    The opposite of upstairs is Downstairs.

    Source: WordNet 3.1

  24. Select the word opposite in meaning to the given word.
    Frivolous
    Question 24
    Answer and working

    Answer A

    The opposite of frivolous is Serious.

    Source: WordNet 3.1

  25. Select the correctly spelt word.
    Question 25
    Answer and working

    Answer D

    The correct spelling is affiliation.

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

    Answer E

    affiddavit is wrong; it is spelt affidavit. The others are correct.

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

    Answer C

    intellagent is wrong; it is spelt intelligent. The others are correct.

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

    Answer E

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

    Source: WordNet 3.1

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

    Answer E

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

    Source: WordNet 3.1

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

    Answer B

    The opposite of uptown is Downtown.

    Source: WordNet 3.1

Part BNumerical Ability

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

  1. What is the value of 82² − 63²?
    Question 31
    Answer and working

    Answer D

    a² − b² = (a + b)(a − b) = 145 × 19 = 2,755.

  2. The present ages of Asha and her elder brother are in the ratio 5 : 6. After 10 years, the ratio will be 10 : 11. What is Asha’s present age?
    Question 32
    Answer and working

    Answer A

    Ages 5x and 6x. (5x + 10) : (6x + 10) = 10 : 11 gives x = 2. Asha is 5 × 2 = 10 years.

  3. A train 420 m long passes a signal post in 12 seconds. What is its speed in km/h?
    Question 33
    Answer and working

    Answer C

    Speed = 420 ÷ 12 = 35 m/s = 35 × 18/5 = 126 km/h.

  4. A shopkeeper marks his goods 20% above the cost price and allows a discount of 15%. What is his profit or loss percent?
    Question 34
    Answer and working

    Answer E

    Take CP = 100. Marked price = 120. After 15% off: 120 × 85/100 = 102. So 2% profit.

  5. Solve both equations and compare x and y.
    I. x² − 5x − 50 = 0
    II. y² + 14y + 48 = 0
    Question 35
    Answer and working

    Answer A

    I gives x = −5 or 10. II gives y = −8 or −6. Every x is greater than every y: x > y.

  6. Find the wrong number in the series: 7, 35, 10, 28, 13, 25, 16, 14
    Question 36
    Answer and working

    Answer E

    The rule: two series alternate: 7, 10, 13 … rising by 3, and 35, 28, 21 … falling by 7. The term in place of 25 should be 21, so the wrong number is 25.

  7. Simplify: 14 + 13 × 9 − 77 ÷ 7
    Question 37
    Answer and working

    Answer E

    Division and multiplication first: 13 × 9 = 117 and 77 ÷ 7 = 11. Then 14 + 117 − 11 = 120.

  8. A is four times as efficient as B. Together they finish a job in 16 days. How long would A take alone?
    Question 38
    Answer and working

    Answer B

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

  9. Simplify: 14 + 5 × 2 − 77 ÷ 7
    Question 39
    Answer and working

    Answer B

    Division and multiplication first: 5 × 2 = 10 and 77 ÷ 7 = 11. Then 14 + 10 − 11 = 13.

  10. One card is drawn at random from a well-shuffled pack of 52. What is the probability that it is a number card from 2 to 10 of diamonds?
    Question 40
    Answer and working

    Answer E

    9 of the 52 cards qualify. Probability = 9⁄52.

  11. ₹20,845 is divided among Meera, Arjun and Kavya in the ratio 3 : 2 : 6. What is Arjun’s share?
    Question 41
    Answer and working

    Answer E

    Total parts = 3 + 2 + 6 = 11. Arjun gets 2/11 × 20,845 = ₹3,790.

  12. 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 42
    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.

  13. Which number replaces the question mark? 8, 22, 64, 190, 568, 1,702, ?
    Question 43
    Answer and working

    Answer B

    The rule: each term is the previous × 3 − 2. The missing term is 5,104.

  14. 330 is what percent of 2,200?
    Question 44
    Answer and working

    Answer C

    330 ÷ 2,200 × 100 = 15%.

  15. Directions for questions 45 to 49

    Study the table and answer the questions that follow.

    Saplings planted by five villages, in two successive years
    VillageYear 1Year 2
    Village P280392
    Village Q320368
    Village R340272
    Village S380570
    Village T580464
  16. What is the average Year 2 figure of the five?
    Question 45
    Answer and working

    Answer E

    Sum of Year 2 = 2,066. ÷ 5 = 413.2.

  17. Which one grew the most in percentage terms from Year 1 to Year 2?
    Question 46
    Answer and working

    Answer E

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

  18. What is the total for Village S over the two years?
    Question 47
    Answer and working

    Answer B

    380 + 570 = 950.

  19. Village P’s Year 2 figure is what percent of Village T’s Year 2 figure?
    Question 48
    Answer and working

    Answer B

    392 ÷ 464 × 100 = 84.48%.

  20. By what percent did Village T’s figure change from Year 1 to Year 2?
    Question 49
    Answer and working

    Answer B

    Change = 464 − 580 = −116. On Year 1: −116 ÷ 580 × 100 = 20% decrease.

  21. Which number replaces the question mark? 8, 18, 38, 78, 158, 318, ?
    Question 50
    Answer and working

    Answer B

    The rule: each term is the previous × 2 + 2. The missing term is 638.

  22. ₹20,000 amounts to ₹24,200 in 2 years at compound interest, compounded annually. What is the rate of interest?
    Question 51
    Answer and working

    Answer A

    (1 + R/100)² = 24,200/20,000 = 1.21, so 1 + R/100 = 1.1 and R = 10%. Dividing the interest equally between the years (simple interest) gives a wrong answer.

  23. The simple interest on a sum for 4 years at 8% per annum is ₹7,040. What is the sum?
    Question 52
    Answer and working

    Answer A

    P = SI × 100 / (R × T) = 7,040 × 100 / (8 × 4) = ₹22,000.

  24. Which number replaces the question mark? 18, 19, 23, 32, 48, 73, ?
    Question 53
    Answer and working

    Answer E

    The rule: the differences are squares: 1, 4, 9, 16, 25, 36. The missing term is 109.

  25. Solve both equations and compare x and y.
    I. x² − 12x + 27 = 0
    II. y² − 2y − 24 = 0
    Question 54
    Answer and working

    Answer E

    I gives x = 3 or 9. II gives y = −4 or 6. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  26. The population of a town is 30,500. It grows by 20% every year. What will it be after 2 years?
    Question 55
    Answer and working

    Answer C

    30,500 × (1 + 20/100)² = 30,500 × 1.44 = 43,920. Growing 20% on 30,500 twice, not 40% once.

  27. What is the average of the first 28 odd numbers?
    Question 56
    Answer and working

    Answer E

    The first 28 odd numbers add up to 28² = 784; the average is 28.

  28. What is the value of 58² − 38²?
    Question 57
    Answer and working

    Answer A

    a² − b² = (a + b)(a − b) = 96 × 20 = 1,920.

  29. 28 litres of a mixture contains milk and water in the ratio 5 : 2. How much water must be added to make the ratio 1 : 1?
    Question 58
    Answer and working

    Answer E

    Milk = 20 l, water = 8 l. For 1 : 1, water must be 20 × 1/1 = 20 l. Add 20 − 8 = 12 litres.

  30. A boat covers 68 km downstream in 4 hours and 14 km upstream in 2 hours. What is the speed of the boat in still water?
    Question 59
    Answer and working

    Answer B

    Downstream speed = 68 ÷ 4 = 17 km/h; upstream = 14 ÷ 2 = 7 km/h. Boat = (17 + 7) ÷ 2 = 12 km/h.

  31. By selling a watch for ₹1,530, a man loses 10%. For how much should he sell it to gain 10%?
    Question 60
    Answer and working

    Answer C

    CP = 1,530 × 100/90 = ₹1,700. For a 10% gain: 1,700 × 110/100 = ₹1,870.

  32. What is √324 + √196 − √729?
    Question 61
    Answer and working

    Answer E

    18 + 14 − 27 = 5.

  33. Solve both equations and compare x and y.
    I. x² + 5x − 36 = 0
    II. y² − 13y + 36 = 0
    Question 62
    Answer and working

    Answer D

    I gives x = −9 or 4. II gives y = 4 or 9. No x is greater than any y, and one value of each is equal: x ≤ y.

  34. Solve both equations and compare x and y.
    I. x² − 3x − 108 = 0
    II. y² − 9y = 0
    Question 63
    Answer and working

    Answer E

    I gives x = −9 or 12. II gives y = 0 or 9. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  35. Solve both equations and compare x and y.
    I. x² − 9x − 36 = 0
    II. y² − 7y + 6 = 0
    Question 64
    Answer and working

    Answer E

    I gives x = −3 or 12. II gives y = 1 or 6. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  36. Which number replaces the question mark? 2, 9, 28, 65, 126, ?
    Question 65
    Answer and working

    Answer A

    The rule: the terms are 1³, 2³, 3³ … plus 1. The missing term is 217.

Part CReasoning Ability

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

  1. Statement: V > X ≤ Z ≤ K = U
    Conclusions: I. U = Z   II. U > Z
    Question 66
    Answer and working

    Answer C

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

  2. If ‘+’ means ‘÷’, ‘−’ means ‘+’, ‘×’ means ‘−’, ‘÷’ means ‘×’, what is the value of 27 − 11 × 4 ÷ 2 + 4?
    Question 67
    Answer and working

    Answer A

    Replace the signs: 27 + 11 − 4 × 2 ÷ 4. Division and multiplication first, then addition and subtraction: 36.

  3. Kavita walks 5 km towards the north. She turns left and walks 9 km. She turns right and walks 2 km. She turns left and walks 12 km. She turns left and walks 8 km. Which direction is she facing now?
    Question 68
    Answer and working

    Answer A

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

  4. In the English alphabet, which letter is 7th to the left of the 4th letter from the right?
    Question 69
    Answer and working

    Answer B

    The 4th letter from the right is W (position 23). 7 places to the left: position 16, which is P.

  5. In a certain code, LIGHT is written as ORTSG. How is MANGO written in that code?
    Question 70
    Answer and working

    Answer A

    From LIGHT → ORTSG: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to MANGO: NZMTL.

  6. Pointing to a man in a photograph, Pooja said, ‘He is the father of my brother’s only niece.’ How is the man related to Pooja?
    Question 71
    Answer and working

    Answer B

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

  7. Statements:
    (1) All cups are bottles.
    (2) Some shirts are cups.

    Conclusions:
    (I) No bottles are cups.
    (II) Some cups are shirts.

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

    Answer B

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

  8. Statement: K < Y > V < P < S
    Conclusions: I. K > P   II. S > V
    Question 73
    Answer and working

    Answer B

    K and P: the signs between them point both ways, so no relation can be fixed, so K > P is not definitely true. S and V: the chain gives S > V, so S > V is definitely true. So: Only conclusion II follows.

  9. Which number replaces the question mark? 2, 9, 28, 65, 126, ?
    Question 74
    Answer and working

    Answer C

    The rule: the terms are 1³, 2³, 3³ … plus 1. The missing term is 217.

  10. Tarun walks 13 km towards the north. He turns left and walks 5 km. He turns right and walks 15 km. Which direction is he facing now?
    Question 75
    Answer and working

    Answer D

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

  11. In a class, Anjali ranks 5th from the top and 23rd from the bottom. How many students are in the class?
    Question 76
    Answer and working

    Answer D

    Anjali is counted in both ranks, so the total is 5 + 23 − 1 = 27.

  12. Statements:
    (1) All clocks are rivers.
    (2) All rivers are rings.

    Conclusions:
    (I) Some rivers are rings.
    (II) Some clocks are not rings.

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

  13. Statements:
    (1) No coins are cups.
    (2) No coins are doors.
    (3) Some clocks are doors.

    Conclusions:
    (I) Some clocks are not doors.
    (II) No clocks are cups.

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

    Answer D

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

  14. In a certain code, OCEAN is written as OBFDP. How is LAMP written in that code?
    Question 79
    Answer and working

    Answer C

    From OCEAN → OBFDP: the word is written backwards and each letter moves 1 forward. Applied to LAMP: QNBM.

  15. Statement: Q < G = W ≤ Z ≥ N
    Conclusions: I. Q ≤ Z   II. Z ≤ Q
    Question 80
    Answer and working

    Answer A

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

  16. Statement: U ≤ J < W < R > L
    Conclusions: I. J = L   II. U ≤ W
    Question 81
    Answer and working

    Answer B

    J and L: the signs between them point both ways, so no relation can be fixed, so J = L is not definitely true. U and W: the chain gives U < W, so U ≤ W is definitely true. So: Only conclusion II follows.

  17. If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 9 × 12 ÷ 9 + 5 − 3?
    Question 82
    Answer and working

    Answer A

    Replace the signs: 9 + 12 − 9 × 5 ÷ 3. Division and multiplication first, then addition and subtraction: 6.

  18. In a class, Lata ranks 13th from the top and 10th from the bottom. How many students are in the class?
    Question 83
    Answer and working

    Answer E

    Lata is counted in both ranks, so the total is 13 + 10 − 1 = 22.

  19. In the English alphabet, which letter is 6th to the right of the 9th letter from the right?
    Question 84
    Answer and working

    Answer A

    The 9th letter from the right is R (position 18). 6 places to the right: position 24, which is X.

  20. Statements:
    (1) No pens are doors.
    (2) All cups are doors.
    (3) Some kites are cups.

    Conclusions:
    (I) No pens are kites.
    (II) Some pens are kites.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 85
    Answer and working

    Answer C

    Conclusion I need not hold: pens and kites may overlap. Conclusion II need not hold: pens and kites 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.

  21. Statement: U ≤ K ≤ H > J > A
    Conclusions: I. U ≤ H   II. A ≥ U
    Question 86
    Answer and working

    Answer A

    U and H: the chain gives U ≤ H, so U ≤ H is definitely true. A and U: the signs between them point both ways, so no relation can be fixed, so A ≥ U is not definitely true. So: Only conclusion I follows.

  22. Find the wrong number in the series: 14, 17, 23, 26, 32, 39, 47
    Question 87
    Answer and working

    Answer E

    The rule: the differences grow by 1: 3, 4, 5, 6, 7, 8. The term in place of 23 should be 21, so the wrong number is 23.

  23. Directions for questions 88 to 92

    Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Chetan sits at one of the two ends. Chetan sits second to the right of Esha. Farhan does not sit next to Arun. Bina sits second to the left of Arun. Exactly 2 people sit between Farhan and Divya.
  24. Which pair sits at the two ends of the row?
    Question 88
    Answer and working

    Answer B

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

  25. Who sits at the extreme right end?
    Question 89
    Answer and working

    Answer B

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

  26. How many people sit between Chetan and Arun?
    Question 90
    Answer and working

    Answer E

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

  27. What is Farhan’s position from the left end?
    Question 91
    Answer and working

    Answer E

    Only one order fits every clue, from the left: Bina, Divya, Arun, Esha, Farhan, Chetan. 5th.

  28. Who sits at the extreme left end?
    Question 92
    Answer and working

    Answer E

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

  29. In a certain code, BREAD is written as EBFSC. How is WINDOW written in that code?
    Question 93
    Answer and working

    Answer B

    From BREAD → EBFSC: the word is written backwards and each letter moves 1 forward. Applied to WINDOW: XPEOJX.

  30. R is the husband of D. D is the daughter of B. How is R related to B?
    Question 94
    Answer and working

    Answer C

    Follow the links out from B: D is B’s daughter; R is D’s husband. So R is B’s son-in-law.

  31. Statements:
    (1) Some bells are rivers.
    (2) All rivers are kites.

    Conclusions:
    (I) Some kites are bells.
    (II) No bells are rivers.

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

    Answer A

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

  32. Arun walks 8 km towards the east. He turns right and walks 9 km. He turns left and walks 4 km. How far is he from the starting point in a straight line?
    Question 96
    Answer and working

    Answer B

    Taking east and north as positive: he ends 12 km east and 9 km south of the start. Straight-line distance = √(12² + 9²) = 15 km.

  33. K is the brother of Z. R is the son of K. Z is the father of A. How is R related to A?
    Question 97
    Answer and working

    Answer C

    Follow the links out from A: Z is A’s father; K is Z’s brother; R is K’s son. So R is A’s cousin.

  34. In a certain code, PLANET is written as KOZMVG. How is CHAIR written in that code?
    Question 98
    Answer and working

    Answer C

    From PLANET → KOZMVG: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to CHAIR: XSZRI.

  35. Which one does not belong with the others?
    Question 99
    Answer and working

    Answer A

    1331, 343, 1000, 216 are cubes; 36 is a square, not a cube. The odd one is 36.

  36. Statements:
    (1) Some bottles are fans.
    (2) No fans are rings.
    (3) No rings are roads.

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

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

    Answer A

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