SBI PO PrelimsPaper 2, booklet 7686978

Test booklet
प्रश्न पुस्तिका
Booklet No.
7686978
Series
A

SBI PO Prelims Paper 2

Questions
100
Maximum marks
100
Minutes allowed
60

Roll No. assigned when you start

Instructions निर्देश

  1. This booklet has 100 questions in 3 parts: A. English Language (40), B. Quantitative Aptitude (30), C. Reasoning Ability (30).
  2. Each part has its own clock. When it runs out, that part closes and the next opens.
  3. Each question has 5 options and one right answer. A right answer earns 1 mark. A wrong answer costs 0.25. A question left blank scores nothing.
  4. Fill one bubble per question on the answer sheet. Unlike a real sheet, you can clear it and change your mind.

Scripting is off, so this page is a printed paper: answer on paper, then open each question’s working.

Part AEnglish Language

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

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

    Answer A

    unavvailable is wrong; it is spelt unavailable. The others are correct.

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

    Answer A

    Innuendo (noun) and Insinuation share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer A

    voleyball is wrong; it is spelt volleyball. The others are correct.

  4. Select the incorrectly spelt word.
    Question 4
    Answer and working

    Answer C

    apprehhension is wrong; it is spelt apprehension. The others are correct.

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

    Answer A

    Hindrance (noun) and Impediment share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer C

    hallucinetion is wrong; it is spelt hallucination. The others are correct.

  7. Select the word opposite in meaning to the given word.
    Awake
    Question 7
    Answer and working

    Answer A

    The opposite of awake is Asleep.

    Source: WordNet 3.1

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

    Answer E

    Bode (verb) and Predict share their main meaning. None of the other options does.

    Source: WordNet 3.1

  9. Select the one word that can replace the given group of words.
    A person who travels by foot
    Question 9
    Answer and working

    Answer B

    Pedestrian: a person who travels by foot.

    Source: WordNet 3.1

  10. Select the one word that can replace the given group of words.
    A baseball pitcher who throws the ball with the left hand
    Question 10
    Answer and working

    Answer A

    Southpaw: a baseball pitcher who throws the ball with the left hand.

    Source: WordNet 3.1

  11. Select the one word that can replace the given group of words.
    A person who diets
    Question 11
    Answer and working

    Answer C

    Dieter: a person who diets.

    Source: WordNet 3.1

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

    Answer C

    Envious (adjective) and Jealous share their main meaning. None of the other options does.

    Source: WordNet 3.1

  13. Select the word opposite in meaning to the given word.
    Asset
    Question 13
    Answer and working

    Answer E

    The opposite of asset is Liability.

    Source: WordNet 3.1

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

    Answer C

    gredient is wrong; it is spelt gradient. The others are correct.

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

    Answer E

    The opposite of clarity is Obscurity. Lucidity is the trap: it means the same, not the opposite.

    Source: WordNet 3.1

  16. Select the one word that can replace the given group of words.
    One at a disadvantage and expected to lose
    Question 16
    Answer and working

    Answer E

    Underdog: one at a disadvantage and expected to lose.

    Source: WordNet 3.1

  17. Select the word closest in meaning to the given word.
    Compliance
    Question 17
    Answer and working

    Answer B

    Compliance (noun) and Conformity share their main meaning. None of the other options does.

    Source: WordNet 3.1

  18. Select the one word that can replace the given group of words.
    Someone who lends money at excessive rates of interest
    Question 18
    Answer and working

    Answer D

    Usurer: someone who lends money at excessive rates of interest.

    Source: WordNet 3.1

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

    Answer D

    Malice (noun) and Spite share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer E

    The opposite of postwar is Prewar.

    Source: WordNet 3.1

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

    Answer B

    The correct spelling is tirelessly.

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

    Answer D

    The correct spelling is cooperation.

  23. Select the word closest in meaning to the given word.
    Stony
    Question 23
    Answer and working

    Answer B

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

    Source: WordNet 3.1

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

    Answer C

    Overconfident (adjective) and Cocksure 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.
    Fragrant
    Question 25
    Answer and working

    Answer C

    The opposite of fragrant is Malodorous.

    Source: WordNet 3.1

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

    Answer C

    The correct spelling is assimilate.

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

    Answer D

    The correct spelling is temperance.

  28. Select the one word that can replace the given group of words.
    A person holding a fief
    Question 28
    Answer and working

    Answer B

    Vassal: a person holding a fief.

    Source: WordNet 3.1

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

    Answer E

    The correct spelling is deference.

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

    Answer E

    The opposite of profound is Superficial.

    Source: WordNet 3.1

  31. Select the word closest in meaning to the given word.
    Uphold
    Question 31
    Answer and working

    Answer E

    Uphold (verb) and Preserve share their main meaning. None of the other options does.

    Source: WordNet 3.1

  32. Select the one word that can replace the given group of words.
    A person who brings an action in a court of law
    Question 32
    Answer and working

    Answer B

    Plaintiff: a person who brings an action in a court of law.

    Source: WordNet 3.1

  33. Select the correctly spelt word.
    Question 33
    Answer and working

    Answer B

    The correct spelling is interrogate.

  34. Select the word opposite in meaning to the given word.
    Blame
    Question 34
    Answer and working

    Answer A

    The opposite of blame is Absolve.

    Source: WordNet 3.1

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

    Answer E

    Patchwork (noun) and Hodgepodge share their main meaning. None of the other options does.

    Source: WordNet 3.1

  36. Select the word closest in meaning to the given word.
    Dependable
    Question 36
    Answer and working

    Answer A

    Dependable (adjective) and Reliable share their main meaning. None of the other options does.

    Source: WordNet 3.1

  37. Select the word closest in meaning to the given word.
    Yearly
    Question 37
    Answer and working

    Answer D

    Yearly (adjective) and Annual share their main meaning. None of the other options does.

    Source: WordNet 3.1

  38. Select the correctly spelt word.
    Question 38
    Answer and working

    Answer D

    The correct spelling is businessmen.

  39. Select the word opposite in meaning to the given word.
    Frivolous
    Question 39
    Answer and working

    Answer B

    The opposite of frivolous is Serious.

    Source: WordNet 3.1

  40. Select the one word that can replace the given group of words.
    Someone who tricks or coerces men into service as sailors or soldiers
    Question 40
    Answer and working

    Answer D

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

    Source: WordNet 3.1

Part BQuantitative Aptitude

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

  1. Three fair coins are tossed. What is the probability of getting at most one head?
    Question 41
    Answer and working

    Answer C

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

  2. Solve both equations and compare x and y.
    I. x² − 5x − 50 = 0
    II. y² − 1 = 0
    Question 42
    Answer and working

    Answer E

    I gives x = −5 or 10. II gives y = −1 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.

  3. A train 420 m long passes a signal post in 28 seconds. What is its speed in km/h?
    Question 43
    Answer and working

    Answer E

    Speed = 420 ÷ 28 = 15 m/s = 15 × 18/5 = 54 km/h.

  4. What is the difference between the compound interest and the simple interest on ₹43,750 for 2 years at 8% per annum?
    Question 44
    Answer and working

    Answer E

    For 2 years, CI − SI = P × (R/100)² = 43,750 × (8/100)² = ₹280.

  5. Solve both equations and compare x and y.
    I. x² − 3x − 54 = 0
    II. y² − 11y + 28 = 0
    Question 45
    Answer and working

    Answer E

    I gives x = −6 or 9. II gives y = 4 or 7. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  6. The present ages of Asha and her elder brother are in the ratio 7 : 8. After 5 years, the ratio will be 8 : 9. What is Asha’s present age?
    Question 46
    Answer and working

    Answer D

    Ages 7x and 8x. (7x + 5) : (8x + 5) = 8 : 9 gives x = 5. Asha is 7 × 5 = 35 years.

  7. Section A has 24 students with an average score of 43; section B has 33 students averaging 62. What is the average score of both sections together?
    Question 47
    Answer and working

    Answer B

    (24 × 43 + 33 × 62) ÷ 57 = 3078 ÷ 57 = 54. The plain mean of 43 and 62 ignores the sizes of the sections.

  8. Simplify: 5⁄6 + 4⁄5 + 2⁄5
    Question 48
    Answer and working

    Answer C

    Over the common denominator 30: the sum is 61⁄30. Adding tops and bottoms separately (13/21) is the trap.

  9. Simplify: 1⁄2 + 7⁄8 + 1⁄3
    Question 49
    Answer and working

    Answer B

    Over the common denominator 24: the sum is 41⁄24. Adding tops and bottoms separately (9/13) is the trap.

  10. A is twice as efficient as B. Together they finish a job in 6 days. How long would A take alone?
    Question 50
    Answer and working

    Answer E

    If B does 1 unit a day, A does 2; together 3 units a day for 6 days = 18 units. A alone: 18 ÷ 2 = 9 days.

  11. Find the wrong number in the series: 12, 30, 17, 23, 20, 16, 24, 9
    Question 51
    Answer and working

    Answer D

    The rule: two series alternate: 12, 16, 20 … rising by 4, and 30, 23, 16 … falling by 7. The term in place of 17 should be 16, so the wrong number is 17.

  12. Solve both equations and compare x and y.
    I. x² + 3x − 54 = 0
    II. y² + 2y − 3 = 0
    Question 52
    Answer and working

    Answer E

    I gives x = −9 or 6. II gives y = −3 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.

  13. Solve both equations and compare x and y.
    I. x² − 2x − 15 = 0
    II. y² + 5y − 14 = 0
    Question 53
    Answer and working

    Answer E

    I gives x = −3 or 5. II gives y = −7 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.

  14. Find the wrong number in the series: 8, 27, 84, 264, 768, 2,307, 6,924
    Question 54
    Answer and working

    Answer C

    The rule: each term is the previous × 3 + 3. The term in place of 264 should be 255, so the wrong number is 264.

  15. 2,100 is what percent of 2,400?
    Question 55
    Answer and working

    Answer E

    2,100 ÷ 2,400 × 100 = 87.5%.

  16. What is the value of 88² − 62²?
    Question 56
    Answer and working

    Answer A

    a² − b² = (a + b)(a − b) = 150 × 26 = 3,900.

  17. What is the value of 67² − 45²?
    Question 57
    Answer and working

    Answer C

    a² − b² = (a + b)(a − b) = 112 × 22 = 2,464.

  18. 132 litres of a mixture contains milk and water in the ratio 7 : 4. How much water must be added to make the ratio 2 : 5?
    Question 58
    Answer and working

    Answer E

    Milk = 84 l, water = 48 l. For 2 : 5, water must be 84 × 5/2 = 210 l. Add 210 − 48 = 162 litres.

  19. Solve both equations and compare x and y.
    I. x² − 3x − 40 = 0
    II. y² − 3y − 40 = 0
    Question 59
    Answer and working

    Answer E

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

  20. Find the wrong number in the series: 79, 83, 86, 97, 101, 103, 107
    Question 60
    Answer and working

    Answer C

    The rule: consecutive prime numbers. The term in place of 86 should be 89, so the wrong number is 86.

  21. The incomes of P and Q are in the ratio 5 : 6 and their expenditures are in the ratio 4 : 7. If each saves ₹11,000 a month, what is P’s monthly income?
    Question 61
    Answer and working

    Answer C

    Incomes 5x and 6x. (5x − 11,000) : (6x − 11,000) = 4 : 7 gives x = 3,000. P’s income = 5 × 3,000 = ₹15,000.

  22. A sum of money doubles itself in 4 years at simple interest. What is the rate of interest per annum?
    Question 62
    Answer and working

    Answer A

    The interest earned is 1 times the principal in 4 years. Rate = 1 × 100 / 4 = 25%.

  23. The population of a town is 88,500. It grows by 10% every year. What will it be after 2 years?
    Question 63
    Answer and working

    Answer A

    88,500 × (1 + 10/100)² = 88,500 × 1.21 = 1,07,085. Growing 10% on 88,500 twice, not 20% once.

  24. Solve both equations and compare x and y.
    I. x² − 3x − 10 = 0
    II. y² − 12y = 0
    Question 64
    Answer and working

    Answer E

    I gives x = −2 or 5. II gives y = 0 or 12. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  25. A shopkeeper marks his goods 25% above the cost price and allows a discount of 25%. What is his profit or loss percent?
    Question 65
    Answer and working

    Answer E

    Take CP = 100. Marked price = 125. After 25% off: 125 × 75/100 = 93.75. So 6.25% loss.

  26. A bus goes from Pune to Nashik at 24 km/h and returns by the same road at 104 km/h. What is its average speed for the whole journey?
    Question 66
    Answer and working

    Answer C

    For equal distances, average speed = 2xy/(x + y) = 2 × 24 × 104 ÷ 128 = 39 km/h. The plain average, 64, ignores that the slower leg takes longer.

  27. A boat covers 76 km downstream in 4 hours and 39 km upstream in 3 hours. What is the speed of the boat in still water?
    Question 67
    Answer and working

    Answer A

    Downstream speed = 76 ÷ 4 = 19 km/h; upstream = 39 ÷ 3 = 13 km/h. Boat = (19 + 13) ÷ 2 = 16 km/h.

  28. Solve both equations and compare x and y.
    I. x² − 7x − 30 = 0
    II. y² + 13y + 40 = 0
    Question 68
    Answer and working

    Answer A

    I gives x = −3 or 10. II gives y = −8 or −5. Every x is greater than every y: x > y.

  29. Which number replaces the question mark? 6, 7, ?, 51, 208, 1,045
    Question 69
    Answer and working

    Answer D

    The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 16.

  30. Solve both equations and compare x and y.
    I. x² − 9x − 22 = 0
    II. y² − 3y − 108 = 0
    Question 70
    Answer and working

    Answer E

    I gives x = −2 or 11. II gives y = −9 or 12. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

Part CReasoning Ability

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

  1. In a certain code, TRAIN is written as GIZRM. How is KNIFE written in that code?
    Question 71
    Answer and working

    Answer C

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

  2. Which number replaces the question mark? 3, 8, 15, 24, ?, 48
    Question 72
    Answer and working

    Answer D

    The rule: the terms are 2², 3², 4² … minus 1. The missing term is 35.

  3. In a row of 56 students, Farhan is 28th from the left. What is Farhan’s position from the right?
    Question 73
    Answer and working

    Answer E

    Position from the right = total − position from the left + 1 = 56 − 28 + 1 = 29th.

  4. Statements:
    (1) No watches are clocks.
    (2) Some watches are pens.

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

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

    Answer C

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

  5. Statement: R < N = F > B < P
    Conclusions: I. B = N   II. B < N
    Question 75
    Answer and working

    Answer B

    B and N: the chain gives B < N, so B = N is not definitely true. B and N: the chain gives B < N, so B < N is definitely true. So: Only conclusion II follows.

  6. V is the son of Y. Y is the sister of N. How is V related to N?
    Question 76
    Answer and working

    Answer C

    Follow the links out from N: Y is N’s sister; V is Y’s son. So V is N’s nephew.

  7. Statements:
    (1) No clouds are clocks.
    (2) All coins are clouds.

    Conclusions:
    (I) No clocks are clouds.
    (II) Some coins are not clocks.

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

  8. Statements:
    (1) Some lamps are boxes.
    (2) All lamps are tables.

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

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

    Answer C

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

  9. If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, what is the value of 41 ÷ 10 + 9 × 9 − 3?
    Question 79
    Answer and working

    Answer A

    Replace the signs: 41 + 10 − 9 ÷ 9 × 3. Division and multiplication first, then addition and subtraction: 48.

  10. D is the sister of C. P is the husband of D. C is the mother of W. How is P related to W?
    Question 80
    Answer and working

    Answer A

    Follow the links out from W: C is W’s mother; D is C’s sister; P is D’s husband. So P is W’s uncle.

  11. Manoj walks 12 km towards the east. He turns left and walks 4 km. He turns left and walks 12 km. He turns left and walks 7 km. How far, and in which direction, is he from the starting point?
    Question 81
    Answer and working

    Answer E

    Taking east and north as positive: he ends 0 km east and 3 km south of the start. Distance = √(0² + 3²) = 3 km. 3 km, south.

  12. In the English alphabet, which letter is 9th to the right of the 15th letter from the left?
    Question 82
    Answer and working

    Answer D

    The 15th letter from the left is O (position 15). 9 places to the right: position 24, which is X.

  13. In a row of 37 students, Farhan is 28th from the left. What is Farhan’s position from the right?
    Question 83
    Answer and working

    Answer D

    Position from the right = total − position from the left + 1 = 37 − 28 + 1 = 10th.

  14. Statements:
    (1) No pens are bags.
    (2) No shirts are bags.

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

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

    Answer A

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

  15. Statement: R ≥ F > Z = N ≥ X
    Conclusions: I. X < Z   II. X = Z
    Question 85
    Answer and working

    Answer C

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

  16. Statements:
    (1) All roads are doors.
    (2) All roads are birds.

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

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 86
    Answer and working

    Answer D

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

  17. Which one does not belong with the others?
    Question 87
    Answer and working

    Answer A

    8, 1331, 1000, 512 are cubes; 196 is a square, not a cube. The odd one is 196.

  18. If ‘+’ means ‘÷’, ‘−’ means ‘+’, ‘×’ means ‘−’, ‘÷’ means ‘×’, what is the value of 41 ÷ 5 + 5 − 4 × 6?
    Question 88
    Answer and working

    Answer D

    Replace the signs: 41 × 5 ÷ 5 + 4 − 6. Division and multiplication first, then addition and subtraction: 39.

  19. In a certain code, CANDLE is written as FDQGOH. How is HORSE written in that code?
    Question 89
    Answer and working

    Answer B

    From CANDLE → FDQGOH: each letter moves 3 places forward. Applied to HORSE: KRUVH.

  20. Pointing to a man in a photograph, Neha said, ‘He is the only son of my mother’s father.’ How is the man related to Neha?
    Question 90
    Answer and working

    Answer A

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

  21. Statements:
    (1) All rings are doors.
    (2) Some phones are rings.

    Conclusions:
    (I) No doors are phones.
    (II) Some rings are doors.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 91
    Answer and working

    Answer B

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

  22. Statement: E = Q > J = S > V
    Conclusions: I. S < Q   II. J = V
    Question 92
    Answer and working

    Answer A

    S and Q: the chain gives S < Q, so S < Q is definitely true. J and V: the chain gives J > V, so J = V is not definitely true. So: Only conclusion I follows.

  23. In a certain code, EAGLE is written as 30. How is ROAD written in that code?
    Question 93
    Answer and working

    Answer D

    EAGLE = 30 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For ROAD: 18 + 15 + 1 + 4 = 38.

  24. Statements:
    (1) All coins are planes.
    (2) All bottles are coins.

    Conclusions:
    (I) Some bottles are planes.
    (II) Some bottles are not planes.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 94
    Answer and working

    Answer A

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

  25. In the English alphabet, which letter is 9th to the right of the 13th letter from the right?
    Question 95
    Answer and working

    Answer E

    The 13th letter from the right is N (position 14). 9 places to the right: position 23, which is W.

  26. Statement: Z > T < A = C > U
    Conclusions: I. U < A   II. T ≤ C
    Question 96
    Answer and working

    Answer E

    U and A: the chain gives U < A, so U < A is definitely true. T and C: the chain gives T < C, so T ≤ C is definitely true. So: Both conclusions follow.

  27. Farah walks 12 km towards the west. She turns right and walks 12 km. She turns right and walks 4 km. Which direction is she facing now?
    Question 97
    Answer and working

    Answer E

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

  28. Arun walks 10 km towards the east. He turns right and walks 14 km. He turns left and walks 9 km. He turns left and walks 14 km. How far, and in which direction, is he from the starting point?
    Question 98
    Answer and working

    Answer B

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

  29. Find the wrong number in the series: 9, 10, 14, 23, 41, 64, 100
    Question 99
    Answer and working

    Answer E

    The rule: the differences are squares: 1, 4, 9, 16, 25, 36. The term in place of 41 should be 39, so the wrong number is 41.

  30. Statements:
    (1) All leaves are chairs.
    (2) Some chairs are shirts.
    (3) No shirts are bags.

    Conclusions:
    (I) No leaves are chairs.
    (II) All shirts are leaves.

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

    Answer D

    Conclusion I need not hold: leaves and chairs may overlap. Conclusion II need not hold: some shirts may lie outside leaves. So: Neither conclusion follows.