RBI Assistant PrelimsPaper 4, booklet 1153133

Test booklet
प्रश्न पुस्तिका
Booklet No.
1153133
Series
A

RBI Assistant 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.
    Quest
    Question 1
    Answer and working

    Answer C

    Quest (noun) and Pursuit 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.
    Sanctify
    Question 2
    Answer and working

    Answer A

    Sanctify (verb) and Hallow 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 A

    The correct spelling is merriment.

  4. Select the one word that can replace the given group of words.
    A person who enjoys taking risks
    Question 4
    Answer and working

    Answer B

    Adventurer: a person who enjoys taking risks.

    Source: WordNet 3.1

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

    Answer B

    Drafty (adjective) and Draughty 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 E

    The correct spelling is elliptical.

  7. Select the correctly spelt word.
    Question 7
    Answer and working

    Answer D

    The correct spelling is bribery.

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

    Answer C

    The opposite of affirmative is Negative.

    Source: WordNet 3.1

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

    Answer E

    The correct spelling is avoidance.

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

    Answer B

    The opposite of optimism is Pessimism.

    Source: WordNet 3.1

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

    Answer C

    Inane (adjective) and Asinine share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer D

    The opposite of domestic is Foreign.

    Source: WordNet 3.1

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

    Answer A

    The correct spelling is generalissimo.

  14. Select the one word that can replace the given group of words.
    An associate who shares an apartment with you
    Question 14
    Answer and working

    Answer A

    Flatmate: an associate who shares an apartment with you.

    Source: WordNet 3.1

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

    Answer C

    annihilattion is wrong; it is spelt annihilation. The others are correct.

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

    Answer C

    Totality (noun) and Entirety share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer C

    The opposite of specialist is Generalist.

    Source: WordNet 3.1

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

    Answer C

    Huffy (adjective) and Touchy 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 nation's ruler or head of state usually by hereditary right
    Question 19
    Answer and working

    Answer C

    Monarch: a nation's ruler or head of state usually by hereditary right.

    Source: WordNet 3.1

  20. Select the one word that can replace the given group of words.
    Someone who censures or condemns
    Question 20
    Answer and working

    Answer D

    Censor: someone who censures or condemns.

    Source: WordNet 3.1

  21. Select the one word that can replace the given group of words.
    A cruel and oppressive dictator
    Question 21
    Answer and working

    Answer A

    Despot: a cruel and oppressive dictator.

    Source: WordNet 3.1

  22. Select the one word that can replace the given group of words.
    A waiter who manages wine service in a hotel or restaurant
    Question 22
    Answer and working

    Answer E

    Sommelier: a waiter who manages wine service in a hotel or restaurant.

    Source: WordNet 3.1

  23. Select the incorrectly spelt word.
    Question 23
    Answer and working

    Answer D

    acelerator is wrong; it is spelt accelerator. The others are correct.

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

    Answer B

    The opposite of lively is Dull.

    Source: WordNet 3.1

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

    Answer B

    The opposite of altruism is Egoism.

    Source: WordNet 3.1

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

    Answer A

    Vapid (adjective) and Bland share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer B

    Ornate (adjective) and Flowery share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer C

    The correct spelling is addictive.

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

    Answer A

    attitudde is wrong; it is spelt attitude. The others are correct.

  30. Select the word closest in meaning to the given word.
    Quarrel
    Question 30
    Answer and working

    Answer C

    Quarrel (verb) and Scrap share their main meaning. None of the other options does.

    Source: WordNet 3.1

Part BNumerical Ability

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

  1. Find the wrong number in the series: 9, 30, 90, 282, 849, 2,550, 7,653
    Question 31
    Answer and working

    Answer B

    The rule: each term is the previous × 3 + 3. The term in place of 90 should be 93, so the wrong number is 90.

  2. 81 litres of a mixture contains milk and water in the ratio 7 : 2. How much water must be added to make the ratio 1 : 1?
    Question 32
    Answer and working

    Answer E

    Milk = 63 l, water = 18 l. For 1 : 1, water must be 63 × 1/1 = 63 l. Add 63 − 18 = 45 litres.

  3. A bus goes from Pune to Nashik at 24 km/h and returns by the same road at 72 km/h. What is its average speed for the whole journey?
    Question 33
    Answer and working

    Answer B

    For equal distances, average speed = 2xy/(x + y) = 2 × 24 × 72 ÷ 96 = 36 km/h. The plain average, 48, ignores that the slower leg takes longer.

  4. A train 200 m long passes a signal post in 5 seconds. What is its speed in km/h?
    Question 34
    Answer and working

    Answer E

    Speed = 200 ÷ 5 = 40 m/s = 40 × 18/5 = 144 km/h.

  5. Directions for questions 35 to 39

    Study the table and answer the questions that follow.

    Books issued by five libraries, in two successive years
    LibraryYear 1Year 2
    Library A600690
    Library B440550
    Library C520546
    Library D400420
    Library E460644
  6. Library D’s Year 2 figure is what percent of Library C’s Year 2 figure?
    Question 35
    Answer and working

    Answer E

    420 ÷ 546 × 100 = 76.92%.

  7. By what percent did Library C’s figure change from Year 1 to Year 2?
    Question 36
    Answer and working

    Answer A

    Change = 546 − 520 = 26. On Year 1: 26 ÷ 520 × 100 = 5% increase.

  8. Which one grew the most in percentage terms from Year 1 to Year 2?
    Question 37
    Answer and working

    Answer B

    Growth: Library A 15%, Library B 25%, Library C 5%, Library D 5%, Library E 40%. The highest is Library E.

  9. What is the average Year 2 figure of the five?
    Question 38
    Answer and working

    Answer B

    Sum of Year 2 = 2,850. ÷ 5 = 570.

  10. What is the ratio of Library A’s Year 1 figure to Library B’s Year 2 figure?
    Question 39
    Answer and working

    Answer D

    600 : 550 = 12 : 11.

  11. The price of a cooler goes from ₹500 to ₹875. What is the percentage increase?
    Question 40
    Answer and working

    Answer D

    Change = ₹375. On the original value: 375 ÷ 500 × 100 = 75%, a 75% increase. Dividing by the new value, 875, is the usual slip.

  12. What is the value of 71² − 31²?
    Question 41
    Answer and working

    Answer C

    a² − b² = (a + b)(a − b) = 102 × 40 = 4,080.

  13. Three fair coins are tossed. What is the probability of getting all heads or all tails?
    Question 42
    Answer and working

    Answer C

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

  14. An article bought for ₹2,075 is sold at a profit of 20%. What is its selling price?
    Question 43
    Answer and working

    Answer A

    SP = CP × (100 + profit%)/100 = 2,075 × 120/100 = ₹2,490.

  15. Solve both equations and compare x and y.
    I. x² − 64 = 0
    II. y² + 5y + 4 = 0
    Question 44
    Answer and working

    Answer E

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

  16. A boat covers 40 km downstream in 2 hours and 64 km upstream in 4 hours. What is the speed of the stream?
    Question 45
    Answer and working

    Answer A

    Downstream speed = 40 ÷ 2 = 20 km/h; upstream = 64 ÷ 4 = 16 km/h. Stream = (20 − 16) ÷ 2 = 2 km/h.

  17. A is twice as efficient as B. Together they finish a job in 10 days. How long would A take alone?
    Question 46
    Answer and working

    Answer B

    If B does 1 unit a day, A does 2; together 3 units a day for 10 days = 30 units. A alone: 30 ÷ 2 = 15 days.

  18. Find the wrong number in the series: 4, 40, 10, 35, 19, 30, 22, 25
    Question 47
    Answer and working

    Answer A

    The rule: two series alternate: 4, 10, 16 … rising by 6, and 40, 35, 30 … falling by 5. The term in place of 19 should be 16, so the wrong number is 19.

  19. Which number replaces the question mark? 1, 3, 9, 27, 81, ?
    Question 48
    Answer and working

    Answer E

    The rule: each term is the previous × 3. The missing term is 243.

  20. A number is first increased by 30% and then decreased by 25%. What is the net change?
    Question 49
    Answer and working

    Answer A

    Net effect = 30 − 25 − (30 × 25)/100 = −2.5%, so 2.5% decrease.

  21. Simplify: 77 + 7 × 6 − 25 ÷ 5
    Question 50
    Answer and working

    Answer B

    Division and multiplication first: 7 × 6 = 42 and 25 ÷ 5 = 5. Then 77 + 42 − 5 = 114.

  22. What is √289 + √529 − √484?
    Question 51
    Answer and working

    Answer D

    17 + 23 − 22 = 18.

  23. What is the compound interest on ₹67,900 for 2 years at 20% per annum, compounded annually?
    Question 52
    Answer and working

    Answer E

    Amount = 67,900 × (1 + 20/100)2 = ₹97,776. CI = 97,776 − 67,900 = ₹29,876.

  24. Find the wrong number in the series: 1, 5, 14, 30, 55, 103, 140
    Question 53
    Answer and working

    Answer D

    The rule: the differences are squares: 4, 9, 16, 25, 36, 49. The term in place of 103 should be 91, so the wrong number is 103.

  25. Solve both equations and compare x and y.
    I. x² − 13x + 12 = 0
    II. y² − 6y − 27 = 0
    Question 54
    Answer and working

    Answer E

    I gives x = 1 or 12. II gives y = −3 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.

  26. What is the fourth proportional to 14, 27 and 280?
    Question 55
    Answer and working

    Answer B

    14 : 27 = 280 : x, so x = 27 × 280 ÷ 14 = 540.

  27. Which number replaces the question mark? 5, 9, 18, 34, 59, 95, ?
    Question 56
    Answer and working

    Answer E

    The rule: the differences are squares: 4, 9, 16, 25, 36, 49. The missing term is 144.

  28. The present ages of Asha and her elder brother are in the ratio 4 : 7. After 4 years, the ratio will be 2 : 3. What is Asha’s present age?
    Question 57
    Answer and working

    Answer E

    Ages 4x and 7x. (4x + 4) : (7x + 4) = 2 : 3 gives x = 2. Asha is 4 × 2 = 8 years.

  29. Solve both equations and compare x and y.
    I. x² + 14x + 48 = 0
    II. y² + 5y − 36 = 0
    Question 58
    Answer and working

    Answer E

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

  30. What is the value of 67² − 53²?
    Question 59
    Answer and working

    Answer A

    a² − b² = (a + b)(a − b) = 120 × 14 = 1,680.

  31. What is the value of 59² − 30²?
    Question 60
    Answer and working

    Answer B

    a² − b² = (a + b)(a − b) = 89 × 29 = 2,581.

  32. A shopkeeper marks his goods 25% above the cost price and allows a discount of 15%. What is his profit or loss percent?
    Question 61
    Answer and working

    Answer E

    Take CP = 100. Marked price = 125. After 15% off: 125 × 85/100 = 106.25. So 6.25% profit.

  33. The simple interest on a sum for 3 years at 7% per annum is ₹5,565. What is the sum?
    Question 62
    Answer and working

    Answer B

    P = SI × 100 / (R × T) = 5,565 × 100 / (7 × 3) = ₹26,500.

  34. Solve both equations and compare x and y.
    I. x² − 8x + 7 = 0
    II. y² − 4 = 0
    Question 63
    Answer and working

    Answer E

    I gives x = 1 or 7. II gives y = −2 or 2. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  35. What is the average of 52, 70, 75, 80, 21 and 86?
    Question 64
    Answer and working

    Answer A

    Sum = 384. Average = 384 ÷ 6 = 64.

  36. Solve both equations and compare x and y.
    I. x² − 19x + 88 = 0
    II. y² + 17y + 72 = 0
    Question 65
    Answer and working

    Answer A

    I gives x = 8 or 11. II gives y = −9 or −8. Every x is greater than every y: x > y.

Part CReasoning Ability

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

  1. Statements:
    (1) Some doors are stones.
    (2) No buses are doors.

    Conclusions:
    (I) Some stones are doors.
    (II) All doors are buses.

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

    Answer A

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

  2. In the English alphabet, which letter is 8th to the right of the 7th letter from the left?
    Question 67
    Answer and working

    Answer C

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

  3. Statements:
    (1) Some bags are papers.
    (2) No bags are rivers.
    (3) No clouds are rivers.

    Conclusions:
    (I) No rivers are bags.
    (II) Some rivers are not bags.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 68
    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.

  4. If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 20 − 9 + 10 ÷ 20 × 11?
    Question 69
    Answer and working

    Answer E

    Replace the signs: 20 × 9 ÷ 10 + 20 − 11. Division and multiplication first, then addition and subtraction: 27.

  5. Statement: H = U ≥ Q < X ≥ G
    Conclusions: I. H > Q   II. H = Q
    Question 70
    Answer and working

    Answer C

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

  6. In a certain code, TIGER is written as UJHFS. How is BRIDGE written in that code?
    Question 71
    Answer and working

    Answer D

    From TIGER → UJHFS: each letter moves 1 place forward. Applied to BRIDGE: CSJEHF.

  7. In a queue, Lata is 10th from the front and Sohan is 21st from the front. How many people stand between them?
    Question 72
    Answer and working

    Answer C

    Between positions 10 and 21 there are 21 − 10 − 1 = 10 people.

  8. In a certain code, STAR is written as 62. How is ROAD written in that code?
    Question 73
    Answer and working

    Answer D

    STAR = 62 is the sum of (position + 1) for each letter. For ROAD: 19 + 16 + 2 + 5 = 42.

  9. Statements:
    (1) Some bottles are watches.
    (2) Some pens are not bottles.
    (3) All pens are planes.

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

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 74
    Answer and working

    Answer A

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

  10. In a queue, Kabir is 5th from the front and Sohan is 17th from the front. How many people stand between them?
    Question 75
    Answer and working

    Answer A

    Between positions 5 and 17 there are 17 − 5 − 1 = 11 people.

  11. Which number replaces the question mark? 15, 30, 21, 28, 27, 26, 33, ?
    Question 76
    Answer and working

    Answer B

    The rule: two series alternate: 15, 21, 27 … rising by 6, and 30, 28, 26 … falling by 2. The missing term is 24.

  12. Which number replaces the question mark? 17, 21, 28, 38, 51, 67, ?
    Question 77
    Answer and working

    Answer B

    The rule: the differences grow by 3: 4, 7, 10, 13, 16, 19. The missing term is 86.

  13. If ‘+’ means ‘−’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘×’, what is the value of 4 + 10 − 10 × 18 ÷ 6?
    Question 78
    Answer and working

    Answer A

    Replace the signs: 4 − 10 ÷ 10 + 18 × 6. Division and multiplication first, then addition and subtraction: 111.

  14. F is the father of W. B is the sister of F. How is B related to W?
    Question 79
    Answer and working

    Answer C

    Follow the links out from W: F is W’s father; B is F’s sister. So B is W’s aunt.

  15. Statement: T ≥ R = E > A > V
    Conclusions: I. E > V   II. E ≤ T
    Question 80
    Answer and working

    Answer E

    E and V: the chain gives E > V, so E > V is definitely true. E and T: the chain gives E ≤ T, so E ≤ T is definitely true. So: Both conclusions follow.

  16. Imran walks 15 km towards the south. He turns left and walks 10 km. He turns left and walks 6 km. He turns right and walks 2 km. How far is he from the starting point in a straight line?
    Question 81
    Answer and working

    Answer C

    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.

  17. Statement: T ≥ E ≥ Q < H < Z
    Conclusions: I. Z ≥ Q   II. E = Z
    Question 82
    Answer and working

    Answer A

    Z and Q: the chain gives Z > Q, so Z ≥ Q is definitely true. E and Z: the signs between them point both ways, so no relation can be fixed, so E = Z is not definitely true. So: Only conclusion I follows.

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

    Conclusions:
    (I) Some fans are clocks.
    (II) Some phones are not fans.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 83
    Answer and working

    Answer A

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

  19. In the English alphabet, which letter is 3rd to the right of the 8th letter from the left?
    Question 84
    Answer and working

    Answer E

    The 8th letter from the left is H (position 8). 3 places to the right: position 11, which is K.

  20. Statements:
    (1) All lamps are rivers.
    (2) All pens are rivers.
    (3) All kites are pens.

    Conclusions:
    (I) Some pens are kites.
    (II) Some lamps are rivers.

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

  21. Arun walks 6 km towards the north. He turns left and walks 9 km. He turns left and walks 6 km. He turns right and walks 9 km. He turns right and walks 10 km. In which direction is he from the starting point?
    Question 86
    Answer and working

    Answer A

    Taking east and north as positive: he ends 18 km west and 10 km north of the start, which is to the North-west.

  22. Statement: M = G = V ≥ T ≤ K
    Conclusions: I. M = K   II. M ≥ T
    Question 87
    Answer and working

    Answer B

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

  23. Which one does not belong with the others?
    Question 88
    Answer and working

    Answer D

    1331, 1000, 216, 27 are cubes; 196 is a square, not a cube. The odd one is 196.

  24. P is the sister of H. B is the husband of P. How is B related to H?
    Question 89
    Answer and working

    Answer A

    Follow the links out from H: P is H’s sister; B is P’s husband. So B is H’s brother-in-law.

  25. Directions for questions 90 to 94

    Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Divya sits immediately to the left of Farhan. Divya does not sit at either end. Chetan does not sit next to Divya. Exactly one person sits between Chetan and Farhan. Esha sits second to the left of Bina.
  26. Who sits second to the right of Divya?
    Question 90
    Answer and working

    Answer B

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

  27. Who sits at the extreme left end?
    Question 91
    Answer and working

    Answer A

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

  28. How many people sit between Chetan and Farhan?
    Question 92
    Answer and working

    Answer A

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

  29. Which pair sits at the two ends of the row?
    Question 93
    Answer and working

    Answer C

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

  30. What is Bina’s position from the left end?
    Question 94
    Answer and working

    Answer C

    Only one order fits every clue, from the left: Arun, Divya, Farhan, Esha, Chetan, Bina. 6th.

  31. In a certain code, BOOK is written as ANNJ. How is RIVER written in that code?
    Question 95
    Answer and working

    Answer A

    From BOOK → ANNJ: each letter moves 1 place back. Applied to RIVER: QHUDQ.

  32. In a certain code, CHALK is written as XSZOP. How is RAIN written in that code?
    Question 96
    Answer and working

    Answer A

    From CHALK → XSZOP: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to RAIN: IZRM.

  33. Pointing to a man in a photograph, Farah said, ‘He is the only son of my mother’s father.’ How is the man related to Farah?
    Question 97
    Answer and working

    Answer D

    The only son of my mother’s father is my mother’s brother. So the man is Farah’s uncle.

  34. Tarun walks 7 km towards the east. He turns right and walks 4 km. He turns right and walks 10 km. How far, and in which direction, is he from the starting point?
    Question 98
    Answer and working

    Answer D

    Taking east and north as positive: he ends 3 km west and 4 km south of the start. Distance = √(3² + 4²) = 5 km. 5 km, south-west.

  35. Statement: Y ≤ J < Z < W ≥ E
    Conclusions: I. Z > Y   II. E < Y
    Question 99
    Answer and working

    Answer A

    Z and Y: the chain gives Z > Y, so Z > Y is definitely true. E and Y: the signs between them point both ways, so no relation can be fixed, so E < Y is not definitely true. So: Only conclusion I follows.

  36. Statements:
    (1) No leaves are cups.
    (2) No books are leaves.

    Conclusions:
    (I) Some leaves are not cups.
    (II) No leaves are books.

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