NIACL AO PrelimsPaper 10, booklet 2224683

Test booklet
प्रश्न पुस्तिका
Booklet No.
2224683
Series
C

NIACL AO Prelims Paper 10

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 word opposite in meaning to the given word.
    Empirical
    Question 1
    Answer and working

    Answer D

    The opposite of empirical is Theoretical.

    Source: WordNet 3.1

  2. Select the incorrectly spelt word.
    Question 2
    Answer and working

    Answer B

    inveluable is wrong; it is spelt invaluable. The others are correct.

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

    Answer C

    The correct spelling is confessional.

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

    Answer A

    Sheen (noun) and Luster share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer E

    Acknowledge (verb) and Admit share their main meaning. None of the other options does.

    Source: WordNet 3.1

  6. Select the word opposite in meaning to the given word.
    Guilt
    Question 6
    Answer and working

    Answer A

    The opposite of guilt is Innocence.

    Source: WordNet 3.1

  7. Select the one word that can replace the given group of words.
    A person who makes deceitful pretenses
    Question 7
    Answer and working

    Answer A

    Imposter: a person who makes deceitful pretenses.

    Source: WordNet 3.1

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

    Answer B

    Belittle (verb) and Denigrate 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.
    Someone who lends money or gives credit in business matters
    Question 9
    Answer and working

    Answer E

    Lender: someone who lends money or gives credit in business matters.

    Source: WordNet 3.1

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

    Answer A

    The opposite of upload is Download.

    Source: WordNet 3.1

  11. Select the one word that can replace the given group of words.
    An expert able to appreciate a field
    Question 11
    Answer and working

    Answer C

    Connoisseur: an expert able to appreciate a field.

    Source: WordNet 3.1

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

    Answer B

    The correct spelling is disarray.

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

    Answer B

    Examine (verb) and Study 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 owns a home
    Question 14
    Answer and working

    Answer D

    Householder: someone who owns a home.

    Source: WordNet 3.1

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

    Answer A

    The correct spelling is collateral.

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

    Answer A

    The correct spelling is illiterate.

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

    Answer D

    The opposite of horizontal is Vertical.

    Source: WordNet 3.1

  18. Select the one word that can replace the given group of words.
    Someone who writes an account of a person's life
    Question 18
    Answer and working

    Answer D

    Biographer: someone who writes an account of a person's life.

    Source: WordNet 3.1

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

    Answer C

    The opposite of unilateral is Multilateral.

    Source: WordNet 3.1

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

    Answer D

    Recant (verb) and Retract share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer A

    Bombardment (noun) and Barrage share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer C

    The correct spelling is excessive.

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

    Answer E

    Lieu (noun) and Stead share their main meaning. None of the other options does.

    Source: WordNet 3.1

  24. Select the correctly spelt word.
    Question 24
    Answer and working

    Answer C

    The correct spelling is refinery.

  25. Select the one word that can replace the given group of words.
    Someone who administers a test to determine your qualifications
    Question 25
    Answer and working

    Answer E

    Tester: someone who administers a test to determine your qualifications.

    Source: WordNet 3.1

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

    Answer E

    The correct spelling is jubilee.

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

    Answer D

    Teensy (adjective) and Bitty share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer E

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

    Source: WordNet 3.1

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

    Answer A

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

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

    Answer E

    The opposite of persuasion is Dissuasion.

    Source: WordNet 3.1

Part BReasoning Ability

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

  1. Statement: S = H > K = J > D
    Conclusions: I. H = J   II. K < S
    Question 31
    Answer and working

    Answer B

    H and J: the chain gives H > J, so H = J is not definitely true. K and S: the chain gives K < S, so K < S is definitely true. So: Only conclusion II follows.

  2. In a class, Lata ranks 6th from the top and 25th from the bottom. How many students are in the class?
    Question 32
    Answer and working

    Answer E

    Lata is counted in both ranks, so the total is 6 + 25 − 1 = 30.

  3. Statement: H < B ≥ D = T ≤ V
    Conclusions: I. D = V   II. D < V
    Question 33
    Answer and working

    Answer C

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

  4. In a certain code, PLANET is written as 68. How is APPLE written in that code?
    Question 34
    Answer and working

    Answer B

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

  5. In a certain code, BREAD is written as CQFZE. How is MARKET written in that code?
    Question 35
    Answer and working

    Answer E

    From BREAD → CQFZE: letters in odd places move 1 forward, letters in even places move 1 back. Applied to MARKET: NZSJFS.

  6. C is the son of Q. Y is the son of C. How is Y related to Q?
    Question 36
    Answer and working

    Answer B

    Follow the links out from Q: C is Q’s son; Y is C’s son. So Y is Q’s grandson.

  7. In a row of 48 students, Neha is 14th from the left. What is Neha’s position from the right?
    Question 37
    Answer and working

    Answer E

    Position from the right = total − position from the left + 1 = 48 − 14 + 1 = 35th.

  8. Statements:
    (1) Some roads are clouds.
    (2) Some birds are not clouds.
    (3) All birds are pens.

    Conclusions:
    (I) Some clouds are not birds.
    (II) All clouds are birds.

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

    Answer C

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

  9. Statements:
    (1) No boxes are tables.
    (2) Some chairs are boxes.
    (3) Some bells are chairs.

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

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 39
    Answer and working

    Answer C

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

  10. Statements:
    (1) Some leaves are not watches.
    (2) All pens are watches.
    (3) All pens are fans.

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

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

    Answer D

    Conclusion I need not hold: every one of the pens may be fans. Conclusion II need not hold: pens and leaves need not overlap at all. So: Neither conclusion follows.

  11. If ‘+’ means ‘−’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘×’, what is the value of 30 ÷ 12 + 5 − 15 × 5?
    Question 41
    Answer and working

    Answer B

    Replace the signs: 30 × 12 − 5 + 15 ÷ 5. Division and multiplication first, then addition and subtraction: 358.

  12. Statements:
    (1) Some watches are birds.
    (2) All birds are rivers.
    (3) No rivers are flowers.

    Conclusions:
    (I) Some rivers are not flowers.
    (II) All watches are birds.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 42
    Answer and working

    Answer A

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

  13. Pointing to a woman in a photograph, Priya said, ‘She is the only daughter of my father’s mother.’ How is the woman related to Priya?
    Question 43
    Answer and working

    Answer D

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

  14. In a certain code, PAPER is written as QZQDS. How is PENCIL written in that code?
    Question 44
    Answer and working

    Answer D

    From PAPER → QZQDS: letters in odd places move 1 forward, letters in even places move 1 back. Applied to PENCIL: QDOBJK.

  15. Directions for questions 45 to 49

    Seven friends, Arun, Bina, Chetan, Divya, Esha, Farhan and Gopal, sit in a row facing north. Exactly 2 people sit between Esha and Chetan. Exactly 5 people sit between Divya and Arun. Exactly 3 people sit between Divya and Esha. Farhan sits somewhere to the right of Divya. Exactly one person sits between Gopal and Esha. Exactly 2 people sit between Bina and Arun.
  16. Who sits at the extreme left end?
    Question 45
    Answer and working

    Answer D

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

  17. What is Esha’s position from the left end?
    Question 46
    Answer and working

    Answer A

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

  18. Who sits at the extreme right end?
    Question 47
    Answer and working

    Answer C

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

  19. Which pair sits at the two ends of the row?
    Question 48
    Answer and working

    Answer E

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

  20. Who sits immediately to the right of Chetan?
    Question 49
    Answer and working

    Answer D

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

  21. Which number replaces the question mark? 29, 32, ?, 47, 59, 74
    Question 50
    Answer and working

    Answer E

    The rule: the differences grow by 3: 3, 6, 9, 12, 15, 18. The missing term is 38.

  22. Which one does not belong with the others?
    Question 51
    Answer and working

    Answer E

    125, 216, 1331, 1000 are cubes; 100 is a square, not a cube. The odd one is 100.

  23. Sana walks 14 km towards the south. She turns right and walks 15 km. She turns right and walks 6 km. She turns right and walks 10 km. She turns left and walks 12 km. In which direction is she from the starting point?
    Question 52
    Answer and working

    Answer E

    Taking east and north as positive: she ends 5 km west and 4 km north of the start, which is to the North-west.

  24. Statements:
    (1) Some clouds are trees.
    (2) Some papers are clouds.
    (3) All papers are buses.

    Conclusions:
    (I) Some trees are clouds.
    (II) No buses are clouds.

    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: buses and clouds may overlap. So: Only conclusion I follows.

  25. Statements:
    (1) All cups are birds.
    (2) Some bottles are cups.

    Conclusions:
    (I) All birds are bottles.
    (II) Some cups are birds.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 54
    Answer and working

    Answer B

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

  26. In the English alphabet, which letter is 6th to the left of the 10th letter from the right?
    Question 55
    Answer and working

    Answer B

    The 10th letter from the right is Q (position 17). 6 places to the left: position 11, which is K.

  27. If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 42 × 8 ÷ 9 − 20 + 2?
    Question 56
    Answer and working

    Answer B

    Replace the signs: 42 − 8 + 9 × 20 ÷ 2. Division and multiplication first, then addition and subtraction: 124.

  28. Pointing to a woman in a photograph, Kavita said, ‘She is the only daughter of my father’s mother.’ How is the woman related to Kavita?
    Question 57
    Answer and working

    Answer C

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

  29. Imran walks 9 km towards the north. He turns left and walks 5 km. He turns left and walks 2 km. He turns right and walks 12 km. He turns left and walks 7 km. How far is he from the starting point in a straight line?
    Question 58
    Answer and working

    Answer D

    Taking east and north as positive: he ends 17 km west and 0 km north of the start. Straight-line distance = √(17² + 0²) = 17 km.

  30. Statement: X ≤ P < V ≤ J ≤ T
    Conclusions: I. X < J   II. V < X
    Question 59
    Answer and working

    Answer A

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

  31. In the English alphabet, which letter is 4th to the right of the 16th letter from the left?
    Question 60
    Answer and working

    Answer D

    The 16th letter from the left is P (position 16). 4 places to the right: position 20, which is T.

  32. Which number replaces the question mark? 37, 50, 65, 82, 101, 122, ?
    Question 61
    Answer and working

    Answer D

    The rule: the terms are 6², 7², 8² … plus 1. The missing term is 145.

  33. Statement: U < P > N > V ≥ K
    Conclusions: I. K ≤ N   II. V < P
    Question 62
    Answer and working

    Answer E

    K and N: the chain gives K < N, so K ≤ N is definitely true. V and P: the chain gives V < P, so V < P is definitely true. So: Both conclusions follow.

  34. Pooja walks 12 km towards the west. She turns left and walks 7 km. She turns right and walks 12 km. How far is she from the starting point in a straight line?
    Question 63
    Answer and working

    Answer C

    Taking east and north as positive: she ends 24 km west and 7 km south of the start. Straight-line distance = √(24² + 7²) = 25 km.

  35. Statement: K ≤ V ≥ Y ≥ W ≥ M
    Conclusions: I. W > K   II. V ≥ M
    Question 64
    Answer and working

    Answer B

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

  36. In a certain code, PLANT is written as VPCNR. How is SILVER written in that code?
    Question 65
    Answer and working

    Answer C

    From PLANT → VPCNR: the word is written backwards and each letter moves 2 forward. Applied to SILVER: TGXNKU.

Part CQuantitative Aptitude

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

  1. What is the compound interest on ₹29,375 for 2 years at 4% per annum, compounded annually?
    Question 66
    Answer and working

    Answer B

    Amount = 29,375 × (1 + 4/100)2 = ₹31,772. CI = 31,772 − 29,375 = ₹2,397.

  2. The price of a cooler goes from ₹120 to ₹156. What is the percentage increase?
    Question 67
    Answer and working

    Answer C

    Change = ₹36. On the original value: 36 ÷ 120 × 100 = 30%, a 30% increase. Dividing by the new value, 156, is the usual slip.

  3. A school’s enrolment goes from 100 to 130. What is the percentage increase?
    Question 68
    Answer and working

    Answer C

    Change = 30. On the original value: 30 ÷ 100 × 100 = 30%, a 30% increase. Dividing by the new value, 130, is the usual slip.

  4. Solve both equations and compare x and y.
    I. x² + 8x = 0
    II. y² − 2y − 8 = 0
    Question 69
    Answer and working

    Answer E

    I gives x = −8 or 0. II gives y = −2 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.

  5. Solve both equations and compare x and y.
    I. x² + 15x + 56 = 0
    II. y² + 7y + 6 = 0
    Question 70
    Answer and working

    Answer C

    I gives x = −8 or −7. II gives y = −6 or −1. Every x is smaller than every y: x < y.

  6. Solve both equations and compare x and y.
    I. x² − 4x = 0
    II. y² + 5y + 6 = 0
    Question 71
    Answer and working

    Answer A

    I gives x = 0 or 4. II gives y = −3 or −2. Every x is greater than every y: x > y.

  7. What is the value of 92² − 23²?
    Question 72
    Answer and working

    Answer C

    a² − b² = (a + b)(a − b) = 115 × 69 = 7,935.

  8. Simplify: 51 + 5 × 2 − 32 ÷ 8
    Question 73
    Answer and working

    Answer B

    Division and multiplication first: 5 × 2 = 10 and 32 ÷ 8 = 4. Then 51 + 10 − 4 = 57.

  9. A bag holds 7 red, 2 blue and 4 green balls. Two balls are drawn at random without replacement. What is the probability that both are red?
    Question 74
    Answer and working

    Answer C

    Ways to pick 2 red: 21. Ways to pick any 2: 78. Probability = 7⁄26.

  10. Solve both equations and compare x and y.
    I. x² − 3x − 70 = 0
    II. y² − 5y − 84 = 0
    Question 75
    Answer and working

    Answer E

    I gives x = −7 or 10. II gives y = −7 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.

  11. Which number replaces the question mark? 21, 26, 33, 42, 53, 66, ?
    Question 76
    Answer and working

    Answer D

    The rule: the differences grow by 2: 5, 7, 9, 11, 13, 15. The missing term is 81.

  12. The incomes of P and Q are in the ratio 4 : 9 and their expenditures are in the ratio 5 : 12. If each saves ₹4,500 a month, what is P’s monthly income?
    Question 77
    Answer and working

    Answer C

    Incomes 4x and 9x. (4x − 4,500) : (9x − 4,500) = 5 : 12 gives x = 10,500. P’s income = 4 × 10,500 = ₹42,000.

  13. Simplify: 13 + 10 × 8 − 30 ÷ 3
    Question 78
    Answer and working

    Answer A

    Division and multiplication first: 10 × 8 = 80 and 30 ÷ 3 = 10. Then 13 + 80 − 10 = 83.

  14. Which number replaces the question mark? 4, 15, 48, 147, 444, 1,335, ?
    Question 79
    Answer and working

    Answer D

    The rule: each term is the previous × 3 + 3. The missing term is 4,008.

  15. The simple interest on a sum for 3 years at 9% per annum is ₹7,830. What is the sum?
    Question 80
    Answer and working

    Answer E

    P = SI × 100 / (R × T) = 7,830 × 100 / (9 × 3) = ₹29,000.

  16. A shopkeeper marks his goods 20% above the cost price and allows a discount of 30%. What is his profit or loss percent?
    Question 81
    Answer and working

    Answer B

    Take CP = 100. Marked price = 120. After 30% off: 120 × 70/100 = 84. So 16% loss.

  17. By selling a watch for ₹1,140, a man loses 5%. For how much should he sell it to gain 25%?
    Question 82
    Answer and working

    Answer E

    CP = 1,140 × 100/95 = ₹1,200. For a 25% gain: 1,200 × 125/100 = ₹1,500.

  18. A train 350 m long crosses a platform 100 m long in 45 seconds. What is the speed of the train?
    Question 83
    Answer and working

    Answer A

    It must cover its own length and the platform: 350 + 100 = 450 m in 45 s, so 10 m/s = 10 × 18/5 = 36 km/h.

  19. Which number replaces the question mark? 125, 216, 343, 512, 729, ?
    Question 84
    Answer and working

    Answer A

    The rule: the terms are 5³, 6³, 7³ …. The missing term is 1,000.

  20. What is the average of 35, 37, 41, 30, 59, 24 and 26?
    Question 85
    Answer and working

    Answer E

    Sum = 252. Average = 252 ÷ 7 = 36.

  21. What is √841 + √169 − √784?
    Question 86
    Answer and working

    Answer E

    29 + 13 − 28 = 14.

  22. Directions for questions 87 to 91

    Study the table and answer the questions that follow.

    Bicycles sold by five shops, in two successive years
    ShopYear 1Year 2
    Shop P660990
    Shop Q200230
    Shop R660858
    Shop S340306
    Shop T200240
  23. By what percent did Shop Q’s figure change from Year 1 to Year 2?
    Question 87
    Answer and working

    Answer E

    Change = 230 − 200 = 30. On Year 1: 30 ÷ 200 × 100 = 15% increase.

  24. Which one grew the most in percentage terms from Year 1 to Year 2?
    Question 88
    Answer and working

    Answer B

    Growth: Shop P 50%, Shop Q 15%, Shop R 30%, Shop S −10%, Shop T 20%. The highest is Shop P.

  25. What is the total for Shop Q over the two years?
    Question 89
    Answer and working

    Answer B

    200 + 230 = 430.

  26. What is the ratio of Shop T’s Year 1 figure to Shop P’s Year 2 figure?
    Question 90
    Answer and working

    Answer C

    200 : 990 = 20 : 99.

  27. What is the average Year 2 figure of the five?
    Question 91
    Answer and working

    Answer E

    Sum of Year 2 = 2,624. ÷ 5 = 524.8.

  28. Solve both equations and compare x and y.
    I. x² − 8x + 7 = 0
    II. y² − 14y + 45 = 0
    Question 92
    Answer and working

    Answer E

    I gives x = 1 or 7. II gives y = 5 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.

  29. A is twice as efficient as B. Together they finish a job in 18 days. How long would A take alone?
    Question 93
    Answer and working

    Answer D

    If B does 1 unit a day, A does 2; together 3 units a day for 18 days = 54 units. A alone: 54 ÷ 2 = 27 days.

  30. Two trains 130 m and 170 m long run on parallel tracks in opposite directions at 66 km/h and 42 km/h. How long do they take to cross each other?
    Question 94
    Answer and working

    Answer D

    Relative speed = 66 + 42 = 108 km/h = 30 m/s. Distance = 130 + 170 = 300 m. Time = 300 ÷ 30 = 10 seconds.

  31. Which number replaces the question mark? 8, 24, 72, 216, 648, ?
    Question 95
    Answer and working

    Answer C

    The rule: each term is the previous × 3. The missing term is 1,944.

  32. 16 litres of a mixture contains milk and water in the ratio 7 : 1. How much water must be added to make the ratio 2 : 3?
    Question 96
    Answer and working

    Answer C

    Milk = 14 l, water = 2 l. For 2 : 3, water must be 14 × 3/2 = 21 l. Add 21 − 2 = 19 litres.

  33. What is the value of 80² − 41²?
    Question 97
    Answer and working

    Answer A

    a² − b² = (a + b)(a − b) = 121 × 39 = 4,719.

  34. A boat covers 60 km downstream in 3 hours and 48 km upstream in 4 hours. What is the speed of the boat in still water?
    Question 98
    Answer and working

    Answer C

    Downstream speed = 60 ÷ 3 = 20 km/h; upstream = 48 ÷ 4 = 12 km/h. Boat = (20 + 12) ÷ 2 = 16 km/h.

  35. The present ages of Asha and her elder brother are in the ratio 3 : 4. After 3 years, the ratio will be 4 : 5. What is Asha’s present age?
    Question 99
    Answer and working

    Answer E

    Ages 3x and 4x. (3x + 3) : (4x + 3) = 4 : 5 gives x = 3. Asha is 3 × 3 = 9 years.

  36. Which number replaces the question mark? 5, 7, 11, 13, 17, 19, ?
    Question 100
    Answer and working

    Answer E

    The rule: consecutive prime numbers. The missing term is 23.