NIACL AO PrelimsPaper 3, booklet 4936316

Test booklet
प्रश्न पुस्तिका
Booklet No.
4936316
Series
B

NIACL AO Prelims Paper 3

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 incorrectly spelt word.
    Question 1
    Answer and working

    Answer C

    defeciency is wrong; it is spelt deficiency. The others are correct.

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

    Answer A

    Eradicate (verb) and Annihilate 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

    passionatte is wrong; it is spelt passionate. The others are correct.

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

    Answer D

    Despise (verb) and Scorn 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.
    Upload
    Question 5
    Answer and working

    Answer C

    The opposite of upload is Download.

    Source: WordNet 3.1

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

    Answer D

    The correct spelling is disappoint.

  7. Select the one word that can replace the given group of words.
    A person who gives up too easily
    Question 7
    Answer and working

    Answer B

    Quitter: a person who gives up too easily.

    Source: WordNet 3.1

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

    Answer E

    The opposite of profound is Superficial.

    Source: WordNet 3.1

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

    Answer C

    The correct spelling is irresistible.

  10. Select the word closest in meaning to the given word.
    Chatty
    Question 10
    Answer and working

    Answer B

    Chatty (adjective) and Gabby share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer B

    The correct spelling is gazette.

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

    Answer C

    The opposite of latter is Former.

    Source: WordNet 3.1

  13. Select the one word that can replace the given group of words.
    An official who enlists personnel for military service
    Question 13
    Answer and working

    Answer D

    Recruiter: an official who enlists personnel for military service.

    Source: WordNet 3.1

  14. Select the word closest in meaning to the given word.
    Treaty
    Question 14
    Answer and working

    Answer A

    Treaty (noun) and Pact share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer D

    The opposite of offshore is Inshore.

    Source: WordNet 3.1

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

    Answer D

    Reassess (verb) and Reevaluate 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.
    Frightful
    Question 17
    Answer and working

    Answer B

    Frightful (adjective) and Horrible share their main meaning. None of the other options does.

    Source: WordNet 3.1

  18. Select the word opposite in meaning to the given word.
    Bless
    Question 18
    Answer and working

    Answer B

    The opposite of bless is Curse.

    Source: WordNet 3.1

  19. Select the one word that can replace the given group of words.
    A person who is voluntarily absent from home or country
    Question 19
    Answer and working

    Answer D

    Expatriate: a person who is voluntarily absent from home or country.

    Source: WordNet 3.1

  20. Select the correctly spelt word.
    Question 20
    Answer and working

    Answer B

    The correct spelling is oppressive.

  21. Select the word closest in meaning to the given word.
    Satisfy
    Question 21
    Answer and working

    Answer E

    Satisfy (verb) and Fulfill share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer A

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

    Source: WordNet 3.1

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

    Answer D

    The correct spelling is vegetable.

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

    Answer B

    The opposite of pessimist is Optimist.

    Source: WordNet 3.1

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

    Answer D

    intollerance is wrong; it is spelt intolerance. The others are correct.

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

    Answer D

    Woozy (adjective) and Dizzy share their main meaning. None of the other options does.

    Source: WordNet 3.1

  27. Select the one word that can replace the given group of words.
    One who sells advice about gambling or speculation
    Question 27
    Answer and working

    Answer B

    Tout: one who sells advice about gambling or speculation.

    Source: WordNet 3.1

  28. Select the one word that can replace the given group of words.
    A specialist in the care of babies
    Question 28
    Answer and working

    Answer C

    Pediatrician: a specialist in the care of babies.

    Source: WordNet 3.1

  29. Select the one word that can replace the given group of words.
    A student who attends a course but does not take it for credit
    Question 29
    Answer and working

    Answer D

    Auditor: a student who attends a course but does not take it for credit.

    Source: WordNet 3.1

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

    Answer E

    The correct spelling is illegitimate.

Part BReasoning Ability

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

  1. Statement: P > E > Z > B > W
    Conclusions: I. E ≤ W   II. W ≤ P
    Question 31
    Answer and working

    Answer B

    E and W: the chain gives E > W, so E ≤ W is not definitely true. W and P: the chain gives W < P, so W ≤ P is definitely true. So: Only conclusion II follows.

  2. Statements:
    (1) Some boxes are stones.
    (2) All boxes are clocks.
    (3) Some pens are clocks.

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

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 32
    Answer and working

    Answer C

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

  3. Vijay walks 13 km towards the east. He turns right and walks 5 km. He turns right and walks 13 km. How far is he from the starting point in a straight line?
    Question 33
    Answer and working

    Answer D

    Taking east and north as positive: he ends 0 km east and 5 km south of the start. Straight-line distance = √(0² + 5²) = 5 km.

  4. In a certain code, CLOUD is written as 55. How is MANGO written in that code?
    Question 34
    Answer and working

    Answer D

    CLOUD = 55 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For MANGO: 13 + 1 + 14 + 7 + 15 = 50.

  5. Pointing to a woman in a photograph, Harish said, ‘She is the only daughter of my father’s mother.’ How is the woman related to Harish?
    Question 35
    Answer and working

    Answer A

    My father’s mother’s only daughter is my father’s sister. So the woman is Harish’s aunt.

  6. Statements:
    (1) Some doors are books.
    (2) No trees are books.

    Conclusions:
    (I) All trees are books.
    (II) Some doors are not trees.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 36
    Answer and working

    Answer B

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

  7. Statement: J = L ≥ B < Y > P
    Conclusions: I. J = B   II. J > B
    Question 37
    Answer and working

    Answer C

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

  8. In a certain code, MARKET is written as 68. How is APPLE written in that code?
    Question 38
    Answer and working

    Answer D

    MARKET = 68 is the sum of the letters’ positions in the alphabet (A = 1 … Z = 26). For APPLE: 1 + 16 + 16 + 12 + 5 = 50.

  9. In a certain code, BRICK is written as JBHQA. How is GARDEN written in that code?
    Question 39
    Answer and working

    Answer E

    From BRICK → JBHQA: the word is written backwards and each letter moves 1 back. Applied to GARDEN: MDCQZF.

  10. Statements:
    (1) Some kites are leaves.
    (2) No leaves are fans.
    (3) Some fans are clouds.

    Conclusions:
    (I) Some kites are not leaves.
    (II) Some clouds are fans.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 40
    Answer and working

    Answer B

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

  11. Statements:
    (1) Some books are trees.
    (2) Some leaves are books.
    (3) No clouds are leaves.

    Conclusions:
    (I) Some trees are leaves.
    (II) Some trees are books.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 41
    Answer and working

    Answer B

    Conclusion I need not hold: trees and leaves need not overlap at all. Conclusion II holds in every diagram the statements allow. So: Only conclusion II follows.

  12. Rekha walks 13 km towards the east. She turns left and walks 3 km. She turns right and walks 6 km. In which direction is she from the starting point?
    Question 42
    Answer and working

    Answer C

    Taking east and north as positive: she ends 19 km east and 3 km north of the start, which is to the North-east.

  13. Statement: D = W ≥ H ≥ S < L
    Conclusions: I. S = W   II. S < W
    Question 43
    Answer and working

    Answer C

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

  14. Statement: Y < R < W ≤ C ≤ Z
    Conclusions: I. Y ≤ Z   II. Z ≥ Y
    Question 44
    Answer and working

    Answer E

    Y and Z: the chain gives Y < Z, so Y ≤ Z is definitely true. Z and Y: the chain gives Z > Y, so Z ≥ Y is definitely true. So: Both conclusions follow.

  15. If ‘+’ means ‘×’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘−’, what is the value of 35 ÷ 4 × 2 − 9 + 9?
    Question 45
    Answer and working

    Answer D

    Replace the signs: 35 − 4 ÷ 2 + 9 × 9. Division and multiplication first, then addition and subtraction: 114.

  16. Statements:
    (1) Some leaves are boxes.
    (2) Some boxes are bells.

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

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 46
    Answer and working

    Answer C

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

  17. In the English alphabet, which letter is 6th to the left of the 20th letter from the right?
    Question 47
    Answer and working

    Answer E

    The 20th letter from the right is G (position 7). 6 places to the left: position 1, which is A.

  18. Which number replaces the question mark? 9, 18, 36, 72, 144, ?
    Question 48
    Answer and working

    Answer B

    The rule: each term is the previous × 2. The missing term is 288.

  19. In a row of 47 students, Neha is 27th from the left. What is Neha’s position from the right?
    Question 49
    Answer and working

    Answer A

    Position from the right = total − position from the left + 1 = 47 − 27 + 1 = 21st.

  20. In a certain code, RAIN is written as SBJO. How is BRICK written in that code?
    Question 50
    Answer and working

    Answer D

    From RAIN → SBJO: each letter moves 1 place forward. Applied to BRICK: CSJDL.

  21. Which number replaces the question mark? 7, 24, 75, 228, ?, 2,064
    Question 51
    Answer and working

    Answer E

    The rule: each term is the previous × 3 + 3. The missing term is 687.

  22. Rekha walks 3 km towards the west. She turns right and walks 12 km. She turns left and walks 2 km. Which direction is she facing now?
    Question 52
    Answer and working

    Answer D

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

  23. Statements:
    (1) All doors are flowers.
    (2) All flowers are boxes.

    Conclusions:
    (I) Some flowers are boxes.
    (II) All boxes are flowers.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 53
    Answer and working

    Answer A

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

  24. If ‘+’ means ‘×’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘−’, what is the value of 20 − 3 ÷ 12 + 6 × 6?
    Question 54
    Answer and working

    Answer E

    Replace the signs: 20 + 3 − 12 × 6 ÷ 6. Division and multiplication first, then addition and subtraction: 11.

  25. In the English alphabet, which letter is 3rd to the right of the 4th letter from the right?
    Question 55
    Answer and working

    Answer E

    The 4th letter from the right is W (position 23). 3 places to the right: position 26, which is Z.

  26. Statement: R > Z > F ≥ U > T
    Conclusions: I. U < R   II. R ≥ T
    Question 56
    Answer and working

    Answer E

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

  27. In a queue, Anjali is 18th from the front and Ritu is 24th from the front. How many people stand between them?
    Question 57
    Answer and working

    Answer D

    Between positions 18 and 24 there are 24 − 18 − 1 = 5 people.

  28. Which one does not belong with the others?
    Question 58
    Answer and working

    Answer E

    78, 117, 104, 169 are multiples of 13; 119 is not. The odd one is 119.

  29. Directions for questions 59 to 63

    Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Bina does not sit at either end. Chetan sits second to the left of Bina. Esha sits somewhere to the right of Farhan. Esha sits second to the left of Arun. Arun sits somewhere to the right of Divya. Divya sits at one of the two ends.
  30. What is Esha’s position from the left end?
    Question 59
    Answer and working

    Answer A

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

  31. Which pair sits at the two ends of the row?
    Question 60
    Answer and working

    Answer C

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

  32. How many people sit between Chetan and Farhan?
    Question 61
    Answer and working

    Answer C

    Only one order fits every clue, from the left: Divya, Farhan, Chetan, Esha, Bina, Arun. Between them: None.

  33. Who sits at the extreme left end?
    Question 62
    Answer and working

    Answer E

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

  34. Who sits immediately to the right of Farhan?
    Question 63
    Answer and working

    Answer C

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

  35. Pointing to a woman in a photograph, Tarun said, ‘She is the wife of my father’s only son.’ How is the woman related to Tarun?
    Question 64
    Answer and working

    Answer B

    My father’s only son is me. So the woman is Tarun’s wife.

  36. Pointing to a woman in a photograph, Farah said, ‘Her father is the only son of my father.’ How is the woman related to Farah?
    Question 65
    Answer and working

    Answer D

    The only son of my father is my brother, so the child is my brother’s. So the woman is Farah’s niece.

Part CQuantitative Aptitude

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

  1. Two successive discounts of 20% and 10% are equal to a single discount of:
    Question 66
    Answer and working

    Answer E

    Single discount = 20 + 10 − (20 × 10)/100 = 28%. The second discount is taken on the already reduced price, so the two do not simply add.

  2. What is the fourth proportional to 4, 23 and 28?
    Question 67
    Answer and working

    Answer B

    4 : 23 = 28 : x, so x = 23 × 28 ÷ 4 = 161.

  3. Solve both equations and compare x and y.
    I. x² − 49 = 0
    II. y² + y − 12 = 0
    Question 68
    Answer and working

    Answer E

    I gives x = −7 or 7. II gives y = −4 or 3. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  4. A and B together can do a job in 20 days. A alone can do it in 36 days. In how many days can B alone do it?
    Question 69
    Answer and working

    Answer D

    B’s one day = 1/20 − 1/36 = 1/45. B alone takes 45 days.

  5. A bus goes from Pune to Nashik at 40 km/h and returns by the same road at 60 km/h. What is its average speed for the whole journey?
    Question 70
    Answer and working

    Answer C

    For equal distances, average speed = 2xy/(x + y) = 2 × 40 × 60 ÷ 100 = 48 km/h. The plain average, 50, ignores that the slower leg takes longer.

  6. Which number replaces the question mark? 1, 44, 8, 37, 15, 30, 22, ?
    Question 71
    Answer and working

    Answer C

    The rule: two series alternate: 1, 8, 15 … rising by 7, and 44, 37, 30 … falling by 7. The missing term is 23.

  7. The sum of the present ages of a father and his son is 54 years. 6 years ago, the father was 6 times as old as the son. How old is the son now?
    Question 72
    Answer and working

    Answer A

    Let the son be s. Then (54 − s − 6) = 6(s − 6), so 84 = 7s and s = 12 years.

  8. Simplify: 1⁄4 + 4⁄5 + 1⁄2
    Question 73
    Answer and working

    Answer C

    Over the common denominator 20: the sum is 31⁄20. Adding tops and bottoms separately (6/11) is the trap.

  9. A shopkeeper marks his goods 60% above the cost price and allows a discount of 25%. What is his profit or loss percent?
    Question 74
    Answer and working

    Answer D

    Take CP = 100. Marked price = 160. After 25% off: 160 × 75/100 = 120. So 20% profit.

  10. Which number replaces the question mark? 16, 17, 21, 30, 46, ?
    Question 75
    Answer and working

    Answer D

    The rule: the differences are squares: 1, 4, 9, 16, 25, 36. The missing term is 71.

  11. Two trains 270 m and 290 m long run on parallel tracks in opposite directions at 83 km/h and 61 km/h. How long do they take to cross each other?
    Question 76
    Answer and working

    Answer E

    Relative speed = 83 + 61 = 144 km/h = 40 m/s. Distance = 270 + 290 = 560 m. Time = 560 ÷ 40 = 14 seconds.

  12. 510 is what percent of 600?
    Question 77
    Answer and working

    Answer E

    510 ÷ 600 × 100 = 85%.

  13. Which number replaces the question mark? 13, 15, 21, 31, 45, 63, ?
    Question 78
    Answer and working

    Answer B

    The rule: the differences grow by 4: 2, 6, 10, 14, 18, 22. The missing term is 85.

  14. 50 litres of a mixture contains milk and water in the ratio 4 : 1. How much water must be added to make the ratio 5 : 2?
    Question 79
    Answer and working

    Answer C

    Milk = 40 l, water = 10 l. For 5 : 2, water must be 40 × 2/5 = 16 l. Add 16 − 10 = 6 litres.

  15. What is the average of 38, 88, 54, 25 and 40?
    Question 80
    Answer and working

    Answer D

    Sum = 245. Average = 245 ÷ 5 = 49.

  16. Which number replaces the question mark? 1, 2, 6, 21, 88, ?
    Question 81
    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 445.

  17. Simplify: 98 + 8 × 5 − 30 ÷ 5
    Question 82
    Answer and working

    Answer A

    Division and multiplication first: 8 × 5 = 40 and 30 ÷ 5 = 6. Then 98 + 40 − 6 = 132.

  18. A number is first increased by 30% and then decreased by 50%. What is the net change?
    Question 83
    Answer and working

    Answer D

    Net effect = 30 − 50 − (30 × 50)/100 = −35%, so 35% decrease.

  19. Solve both equations and compare x and y.
    I. x² + 11x + 28 = 0
    II. y² − 6y − 7 = 0
    Question 84
    Answer and working

    Answer C

    I gives x = −7 or −4. II gives y = −1 or 7. Every x is smaller than every y: x < y.

  20. Solve both equations and compare x and y.
    I. x² − 25 = 0
    II. y² + 3y − 54 = 0
    Question 85
    Answer and working

    Answer E

    I gives x = −5 or 5. II gives y = −9 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.

  21. What is the compound interest on ₹65,000 for 2 years at 8% per annum, compounded annually?
    Question 86
    Answer and working

    Answer C

    Amount = 65,000 × (1 + 8/100)2 = ₹75,816. CI = 75,816 − 65,000 = ₹10,816.

  22. Simplify: 2⁄3 + 1⁄2 + 3⁄4
    Question 87
    Answer and working

    Answer E

    Over the common denominator 12: the sum is 23⁄12. Adding tops and bottoms separately (12/18) is the trap.

  23. Solve both equations and compare x and y.
    I. x² − 23x + 132 = 0
    II. y² − 8y − 20 = 0
    Question 88
    Answer and working

    Answer A

    I gives x = 11 or 12. II gives y = −2 or 10. Every x is greater than every y: x > y.

  24. The simple interest on a sum for 5 years at 7% per annum is ₹13,125. What is the sum?
    Question 89
    Answer and working

    Answer B

    P = SI × 100 / (R × T) = 13,125 × 100 / (7 × 5) = ₹37,500.

  25. Solve both equations and compare x and y.
    I. x² + 2x − 63 = 0
    II. y² − 16y + 48 = 0
    Question 90
    Answer and working

    Answer E

    I gives x = −9 or 7. II gives y = 4 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.

  26. Directions for questions 91 to 95

    Study the table and answer the questions that follow.

    Students enrolled in five coaching centres, in two successive years
    CentreYear 1Year 2
    Centre A540702
    Centre B440462
    Centre C580696
    Centre D640960
    Centre E560840
  27. Centre E’s Year 2 figure is what percent of Centre D’s Year 2 figure?
    Question 91
    Answer and working

    Answer B

    840 ÷ 960 × 100 = 87.5%.

  28. By what percent did Centre D’s figure change from Year 1 to Year 2?
    Question 92
    Answer and working

    Answer D

    Change = 960 − 640 = 320. On Year 1: 320 ÷ 640 × 100 = 50% increase.

  29. What is the total for Centre C over the two years?
    Question 93
    Answer and working

    Answer E

    580 + 696 = 1,276.

  30. What is the ratio of Centre B’s Year 1 figure to Centre C’s Year 2 figure?
    Question 94
    Answer and working

    Answer B

    440 : 696 = 55 : 87.

  31. What is the average Year 2 figure of the five?
    Question 95
    Answer and working

    Answer C

    Sum of Year 2 = 3,660. ÷ 5 = 732.

  32. What is √144 + √729 − √441?
    Question 96
    Answer and working

    Answer B

    12 + 27 − 21 = 18.

  33. Simplify: 2⁄5 + 1⁄2 + 1⁄2
    Question 97
    Answer and working

    Answer E

    Over the common denominator 30: the sum is 7⁄5. Adding tops and bottoms separately (6/13) is the trap.

  34. Which number replaces the question mark? 126, 217, 344, 513, 730, ?
    Question 98
    Answer and working

    Answer A

    The rule: the terms are 5³, 6³, 7³ … plus 1. The missing term is 1,001.

  35. A boat covers 42 km downstream in 3 hours and 8 km upstream in 2 hours. What is the speed of the boat in still water?
    Question 99
    Answer and working

    Answer B

    Downstream speed = 42 ÷ 3 = 14 km/h; upstream = 8 ÷ 2 = 4 km/h. Boat = (14 + 4) ÷ 2 = 9 km/h.

  36. Two fair dice are thrown together. What is the probability that both show the same number?
    Question 100
    Answer and working

    Answer E

    There are 36 equally likely outcomes and 6 of them qualify. Probability = 1⁄6.