NIACL AO PrelimsPaper 8, booklet 4016499

Test booklet
प्रश्न पुस्तिका
Booklet No.
4016499
Series
D

NIACL AO Prelims Paper 8

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. Reasoning Ability (35), C. Quantitative Aptitude (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 one word that can replace the given group of words.
    Formerly a term of respect for important white Europeans in colonial India
    Question 1
    Answer and working

    Answer E

    Sahib: formerly a term of respect for important white Europeans in colonial India.

    Source: WordNet 3.1

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

    Answer B

    Abandonment (noun) and Desertion share their main meaning. None of the other options does.

    Source: WordNet 3.1

  3. Select the word closest in meaning to the given word.
    Resuscitate
    Question 3
    Answer and working

    Answer D

    Resuscitate (verb) and Revive share their main meaning. None of the other options does.

    Source: WordNet 3.1

  4. Select the one word that can replace the given group of words.
    A member of a military unit trained as shock troops for hit-and-run raids
    Question 4
    Answer and working

    Answer B

    Commando: a member of a military unit trained as shock troops for hit-and-run raids.

    Source: WordNet 3.1

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

    Answer A

    The opposite of optimistic is Pessimistic.

    Source: WordNet 3.1

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

    Answer E

    Avert (verb) and Avoid share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer B

    The correct spelling is intolerable.

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

    Answer A

    Subtlety (noun) and Nuance 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 pillage.

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

    Answer C

    The opposite of windward is Leeward.

    Source: WordNet 3.1

  11. Select the correctly spelt word.
    Question 11
    Answer and working

    Answer A

    The correct spelling is settlement.

  12. Select the correctly spelt word.
    Question 12
    Answer and working

    Answer A

    The correct spelling is passionately.

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

    Answer C

    Expectancy (noun) and Anticipation 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 drives a taxi for a living
    Question 14
    Answer and working

    Answer B

    Cabdriver: someone who drives a taxi for a living.

    Source: WordNet 3.1

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

    Answer D

    The correct spelling is carriage.

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

    Answer C

    The correct spelling is inseparable.

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

    Answer B

    Rife (adjective) and Prevalent share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer E

    Aglow (adjective) and Luminous share their main meaning. None of the other options does.

    Source: WordNet 3.1

  19. Select the one word that can replace the given group of words.
    Someone who saves something from danger or violence
    Question 19
    Answer and working

    Answer A

    Rescuer: someone who saves something from danger or violence.

    Source: WordNet 3.1

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

    Answer E

    Belittle (verb) and Denigrate share their main meaning. None of the other options does.

    Source: WordNet 3.1

  21. Select the one word that can replace the given group of words.
    Someone who performs magic tricks to amuse an audience
    Question 21
    Answer and working

    Answer C

    Illusionist: someone who performs magic tricks to amuse an audience.

    Source: WordNet 3.1

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

    Answer A

    allegattion is wrong; it is spelt allegation. The others are correct.

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

    Answer D

    The opposite of expand is Contract.

    Source: WordNet 3.1

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

    Answer A

    The opposite of latter is Former.

    Source: WordNet 3.1

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

    Answer C

    effortlesly is wrong; it is spelt effortlessly. The others are correct.

  26. Select the one word that can replace the given group of words.
    A person who uses something or someone selfishly or unethically
    Question 26
    Answer and working

    Answer C

    Exploiter: a person who uses something or someone selfishly or unethically.

    Source: WordNet 3.1

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

    Answer A

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

    Source: WordNet 3.1

  28. Select the word opposite in meaning to the given word.
    Darken
    Question 28
    Answer and working

    Answer B

    The opposite of darken is Lighten.

    Source: WordNet 3.1

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

    Answer E

    The correct spelling is inconceivable.

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

    Answer C

    The opposite of liberator is Captor.

    Source: WordNet 3.1

Part BReasoning Ability

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

  1. Which one does not belong with the others?
    Question 31
    Answer and working

    Answer E

    256, 25, 49, 36 are perfect squares; 261 is not. The odd one is 261.

  2. Kavita walks 4 km towards the north. She turns left and walks 13 km. She turns left and walks 13 km. She turns left and walks 13 km. She turns left and walks 3 km. How far is she from the starting point in a straight line?
    Question 32
    Answer and working

    Answer E

    Taking east and north as positive: she ends 0 km east and 6 km south of the start. Straight-line distance = √(0² + 6²) = 6 km.

  3. Statement: B < V > C ≤ M < P
    Conclusions: I. C < P   II. B ≥ P
    Question 33
    Answer and working

    Answer A

    C and P: the chain gives C < P, so C < P is definitely true. B and P: the signs between them point both ways, so no relation can be fixed, so B ≥ P is not definitely true. So: Only conclusion I follows.

  4. Statements:
    (1) All doors are shirts.
    (2) All cups are doors.
    (3) All bottles are cups.

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

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 34
    Answer and working

    Answer A

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

  5. Statements:
    (1) Some stones are planes.
    (2) Some planes are coins.
    (3) All pens are coins.

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

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 35
    Answer and working

    Answer D

    Conclusion I need not hold: every one of the planes may be coins. Conclusion II need not hold: some planes may lie outside stones. So: Neither conclusion follows.

  6. Statement: V < H > U > L > T
    Conclusions: I. V < U   II. L ≤ H
    Question 36
    Answer and working

    Answer B

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

  7. Statements:
    (1) All bags are bells.
    (2) All bells are pens.
    (3) Some fans are pens.

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

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 37
    Answer and working

    Answer B

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

  8. Statements:
    (1) No trees are pens.
    (2) All trees are flowers.
    (3) No flowers are lamps.

    Conclusions:
    (I) All pens are trees.
    (II) Some flowers are lamps.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 38
    Answer and working

    Answer D

    Conclusion I need not hold: some pens may lie outside trees. Conclusion II need not hold: flowers and lamps need not overlap at all. So: Neither conclusion follows.

  9. In the English alphabet, which letter is 3rd to the right of the 12th letter from the right?
    Question 39
    Answer and working

    Answer B

    The 12th letter from the right is O (position 15). 3 places to the right: position 18, which is R.

  10. In a certain code, COPPER is written as XLKKVI. How is TABLE written in that code?
    Question 40
    Answer and working

    Answer C

    From COPPER → XLKKVI: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to TABLE: GZYOV.

  11. Rohit walks 11 km towards the east. He turns right and walks 9 km. He turns left and walks 5 km. He turns right and walks 8 km. He turns right and walks 14 km. Which direction is he facing now?
    Question 41
    Answer and working

    Answer B

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

  12. Statement: Y < B = S ≤ X ≤ N
    Conclusions: I. B ≤ X   II. Y < X
    Question 42
    Answer and working

    Answer E

    B and X: the chain gives B ≤ X, so B ≤ X is definitely true. Y and X: the chain gives Y < X, so Y < X is definitely true. So: Both conclusions follow.

  13. Statements:
    (1) No bags are planes.
    (2) Some bags are cups.

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

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 43
    Answer and working

    Answer B

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

  14. In a queue, Kabir is 7th from the front and Ritu is 22nd from the front. How many people stand between them?
    Question 44
    Answer and working

    Answer A

    Between positions 7 and 22 there are 22 − 7 − 1 = 14 people.

  15. In a certain code, LADDER is written as NCFFGT. How is PILLOW written in that code?
    Question 45
    Answer and working

    Answer A

    From LADDER → NCFFGT: each letter moves 2 places forward. Applied to PILLOW: RKNNQY.

  16. Find the wrong number in the series: 24, 35, 48, 63, 76, 99, 120
    Question 46
    Answer and working

    Answer A

    The rule: the terms are 5², 6², 7² … minus 1. The term in place of 76 should be 80, so the wrong number is 76.

  17. Statement: J = C ≥ P > L > R
    Conclusions: I. C ≥ L   II. R < J
    Question 47
    Answer and working

    Answer E

    C and L: the chain gives C > L, so C ≥ L is definitely true. R and J: the chain gives R < J, so R < J is definitely true. So: Both conclusions follow.

  18. In a certain code, RIVER is written as QHUDQ. How is DESK written in that code?
    Question 48
    Answer and working

    Answer E

    From RIVER → QHUDQ: each letter moves 1 place back. Applied to DESK: CDRJ.

  19. In the English alphabet, which letter is 9th to the left of the 15th letter from the right?
    Question 49
    Answer and working

    Answer C

    The 15th letter from the right is L (position 12). 9 places to the left: position 3, which is C.

  20. Rohit walks 5 km towards the south. He turns left and walks 5 km. He turns left and walks 5 km. He turns left and walks 4 km. How far, and in which direction, is he from the starting point?
    Question 50
    Answer and working

    Answer D

    Taking east and north as positive: he ends 1 km east and 0 km north of the start. Distance = √(1² + 0²) = 1 km. 1 km, east.

  21. Directions for questions 51 to 55

    Five friends, Arun, Bina, Chetan, Divya and Esha, sit in a row facing north. Bina sits second to the right of Divya. Arun sits somewhere to the right of Divya. Esha sits second to the right of Chetan. Esha sits third to the right of Divya.
  22. How many people sit between Arun and Divya?
    Question 51
    Answer and working

    Answer C

    Only one order fits every clue, from the left: Divya, Chetan, Bina, Esha, Arun. Between them: 3.

  23. Which pair sits at the two ends of the row?
    Question 52
    Answer and working

    Answer B

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

  24. What is Esha’s position from the left end?
    Question 53
    Answer and working

    Answer E

    Only one order fits every clue, from the left: Divya, Chetan, Bina, Esha, Arun. 4th.

  25. Who sits at the extreme right end?
    Question 54
    Answer and working

    Answer A

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

  26. Who sits at the extreme left end?
    Question 55
    Answer and working

    Answer B

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

  27. If ‘+’ means ‘−’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘×’, what is the value of 49 ÷ 11 × 3 + 8 − 8?
    Question 56
    Answer and working

    Answer E

    Replace the signs: 49 × 11 + 3 − 8 ÷ 8. Division and multiplication first, then addition and subtraction: 541.

  28. In a class, Kabir ranks 26th from the top and 17th from the bottom. How many students are in the class?
    Question 57
    Answer and working

    Answer C

    Kabir is counted in both ranks, so the total is 26 + 17 − 1 = 42.

  29. In a certain code, SHIP is written as TIJQ. How is GARDEN written in that code?
    Question 58
    Answer and working

    Answer B

    From SHIP → TIJQ: each letter moves 1 place forward. Applied to GARDEN: HBSEFO.

  30. T is the mother of M. U is the mother of T. How is U related to M?
    Question 59
    Answer and working

    Answer B

    Follow the links out from M: T is M’s mother; U is T’s mother. So U is M’s grandmother.

  31. If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 36 − 7 + 3 ÷ 5 × 5?
    Question 60
    Answer and working

    Answer C

    Replace the signs: 36 × 7 ÷ 3 − 5 + 5. Division and multiplication first, then addition and subtraction: 84.

  32. J is the wife of T. T is the brother of S. How is J related to S?
    Question 61
    Answer and working

    Answer C

    Follow the links out from S: T is S’s brother; J is T’s wife. So J is S’s sister-in-law.

  33. Which number replaces the question mark? 4, 5, 12, 39, 160, ?
    Question 62
    Answer and working

    Answer A

    The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 805.

  34. Statements:
    (1) Some rings are not pens.
    (2) All pens are bags.

    Conclusions:
    (I) Some pens are bags.
    (II) All bags are rings.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 63
    Answer and working

    Answer A

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

  35. G is the daughter of N. N is the son of J. How is G related to J?
    Question 64
    Answer and working

    Answer D

    Follow the links out from J: N is J’s son; G is N’s daughter. So G is J’s granddaughter.

  36. Statement: A = W > C = R ≤ U
    Conclusions: I. C < U   II. C = U
    Question 65
    Answer and working

    Answer C

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

Part CQuantitative Aptitude

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

  1. An article bought for ₹1,575 is sold at a profit of 20%. What is its selling price?
    Question 66
    Answer and working

    Answer C

    SP = CP × (100 + profit%)/100 = 1,575 × 120/100 = ₹1,890.

  2. What is the value of 78² − 17²?
    Question 67
    Answer and working

    Answer A

    a² − b² = (a + b)(a − b) = 95 × 61 = 5,795.

  3. Two trains 110 m and 130 m long run on parallel tracks in opposite directions at 28 km/h and 44 km/h. How long do they take to cross each other?
    Question 68
    Answer and working

    Answer D

    Relative speed = 28 + 44 = 72 km/h = 20 m/s. Distance = 110 + 130 = 240 m. Time = 240 ÷ 20 = 12 seconds.

  4. A number is first increased by 30% and then decreased by 40%. What is the net change?
    Question 69
    Answer and working

    Answer B

    Net effect = 30 − 40 − (30 × 40)/100 = −22%, so 22% decrease.

  5. Which number replaces the question mark? 28, 65, 126, 217, 344, ?
    Question 70
    Answer and working

    Answer E

    The rule: the terms are 3³, 4³, 5³ … plus 1. The missing term is 513.

  6. A and B together can do a job in 6 days. A alone can do it in 10 days. In how many days can B alone do it?
    Question 71
    Answer and working

    Answer D

    B’s one day = 1/6 − 1/10 = 1/15. B alone takes 15 days.

  7. Solve both equations and compare x and y.
    I. x² − 17x + 66 = 0
    II. y² − 10y + 21 = 0
    Question 72
    Answer and working

    Answer E

    I gives x = 6 or 11. II gives y = 3 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.

  8. The average of 8 numbers is 69. When one number is removed, the average of the rest is 72. Which number was removed?
    Question 73
    Answer and working

    Answer C

    Total of 8 = 8 × 69 = 552. Total of 7 = 7 × 72 = 504. Removed = 552 − 504 = 48.

  9. What is the value of 57² − 16²?
    Question 74
    Answer and working

    Answer D

    a² − b² = (a + b)(a − b) = 73 × 41 = 2,993.

  10. Three fair coins are tossed. What is the probability of getting at least two heads?
    Question 75
    Answer and working

    Answer D

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

  11. A scooter runs at 90 km/h. What is its speed in metres per second?
    Question 76
    Answer and working

    Answer D

    Multiply by 5/18: 90 × 5/18 = 25 m/s.

  12. Simplify: 2⁄3 + 2⁄5 + 3⁄4
    Question 77
    Answer and working

    Answer B

    Over the common denominator 60: the sum is 109⁄60. Adding tops and bottoms separately (9/17) is the trap.

  13. A number is first increased by 10% and then decreased by 30%. What is the net change?
    Question 78
    Answer and working

    Answer A

    Net effect = 10 − 30 − (10 × 30)/100 = −23%, so 23% decrease.

  14. Directions for questions 79 to 83

    Study the table and answer the questions that follow.

    Saplings planted by five villages, in two successive years
    VillageYear 1Year 2
    Village P460552
    Village Q560728
    Village R300375
    Village S580522
    Village T7201,008
  15. Village R’s Year 2 figure is what percent of Village P’s Year 2 figure?
    Question 79
    Answer and working

    Answer E

    375 ÷ 552 × 100 = 67.93%.

  16. What is the ratio of Village R’s Year 1 figure to Village Q’s Year 2 figure?
    Question 80
    Answer and working

    Answer E

    300 : 728 = 75 : 182.

  17. What is the average Year 2 figure of the five?
    Question 81
    Answer and working

    Answer E

    Sum of Year 2 = 3,185. ÷ 5 = 637.

  18. What is the total for Village S over the two years?
    Question 82
    Answer and working

    Answer E

    580 + 522 = 1,102.

  19. By what percent did Village Q’s figure change from Year 1 to Year 2?
    Question 83
    Answer and working

    Answer A

    Change = 728 − 560 = 168. On Year 1: 168 ÷ 560 × 100 = 30% increase.

  20. A shopkeeper marks an article 50% above its cost price and allows a discount of 10%. If the article was sold for ₹3,375, what was its cost price?
    Question 84
    Answer and working

    Answer C

    SP = CP × 1.5 × 0.9 = CP × 1.35. So CP = 3,375 ÷ 1.35 = ₹2,500.

  21. Simplify: 1⁄2 + 3⁄5 + 2⁄3
    Question 85
    Answer and working

    Answer E

    Over the common denominator 30: the sum is 53⁄30. Adding tops and bottoms separately (6/10) is the trap.

  22. The present ages of Asha and her elder brother are in the ratio 3 : 5. After 6 years, the ratio will be 3 : 4. What is Asha’s present age?
    Question 86
    Answer and working

    Answer D

    Ages 3x and 5x. (3x + 6) : (5x + 6) = 3 : 4 gives x = 2. Asha is 3 × 2 = 6 years.

  23. A sum of money at simple interest amounts to ₹35,640 in 2 years and to ₹38,280 in 4 years. What is the sum?
    Question 87
    Answer and working

    Answer E

    Interest for 2 years = 38,280 − 35,640 = ₹2,640, so ₹1,320 a year. Interest for 2 years = ₹2,640. Sum = 35,640 − 2,640 = ₹33,000.

  24. The incomes of P and Q are in the ratio 6 : 5 and their expenditures are in the ratio 11 : 9. If each saves ₹2,500 a month, what is P’s monthly income?
    Question 88
    Answer and working

    Answer A

    Incomes 6x and 5x. (6x − 2,500) : (5x − 2,500) = 11 : 9 gives x = 5,000. P’s income = 6 × 5,000 = ₹30,000.

  25. Solve both equations and compare x and y.
    I. x² − 1 = 0
    II. y² − 64 = 0
    Question 89
    Answer and working

    Answer E

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

  26. Solve both equations and compare x and y.
    I. x² − 13x + 22 = 0
    II. y² − 21y + 108 = 0
    Question 90
    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.

  27. What is the compound interest on ₹6,250 for 2 years at 12% per annum, compounded annually?
    Question 91
    Answer and working

    Answer C

    Amount = 6,250 × (1 + 12/100)2 = ₹7,840. CI = 7,840 − 6,250 = ₹1,590.

  28. Solve both equations and compare x and y.
    I. x² − 3x + 2 = 0
    II. y² + 5y − 36 = 0
    Question 92
    Answer and working

    Answer E

    I gives x = 1 or 2. 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.

  29. Which number replaces the question mark? 8, 27, 64, 125, 216, ?
    Question 93
    Answer and working

    Answer D

    The rule: the terms are 2³, 3³, 4³ …. The missing term is 343.

  30. In what ratio must rice at ₹50/kg be mixed with rice at ₹74/kg so that the mixture is worth ₹53/kg?
    Question 94
    Answer and working

    Answer A

    By alligation: cheaper : dearer = (74 − 53) : (53 − 50) = 21 : 3 = 7 : 1.

  31. Solve both equations and compare x and y.
    I. x² − 7x − 44 = 0
    II. y² − 15y + 56 = 0
    Question 95
    Answer and working

    Answer E

    I gives x = −4 or 11. II gives y = 7 or 8. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  32. Which number replaces the question mark? 13, 65, 20, ?, 27, 57
    Question 96
    Answer and working

    Answer B

    The rule: two series alternate: 13, 20, 27 … rising by 7, and 65, 61, 57 … falling by 4. The missing term is 61.

  33. Which number replaces the question mark? 7, 14, 28, 56, 112, ?
    Question 97
    Answer and working

    Answer B

    The rule: each term is the previous × 2. The missing term is 224.

  34. A boat covers 88 km downstream in 4 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water?
    Question 98
    Answer and working

    Answer B

    Downstream speed = 88 ÷ 4 = 22 km/h; upstream = 80 ÷ 5 = 16 km/h. Boat = (22 + 16) ÷ 2 = 19 km/h.

  35. Which number replaces the question mark? 2, 3, ?, 17, 30, 47
    Question 99
    Answer and working

    Answer A

    The rule: the differences grow by 4: 1, 5, 9, 13, 17, 21. The missing term is 8.

  36. Simplify: 1⁄5 + 2⁄3 + 1⁄2
    Question 100
    Answer and working

    Answer B

    Over the common denominator 30: the sum is 41⁄30. Adding tops and bottoms separately (6/14) is the trap.