IBPS Clerk PrelimsPaper 9, booklet 2988147

Test booklet
प्रश्न पुस्तिका
Booklet No.
2988147
Series
D

IBPS Clerk Prelims Paper 9

Questions
100
Maximum marks
100
Minutes allowed
60

Roll No. assigned when you start

Instructions निर्देश

  1. This booklet has 100 questions in 3 parts: A. English Language (30), B. Numerical Ability (35), C. Reasoning Ability (35).
  2. Each part has its own clock. When it runs out, that part closes and the next opens.
  3. Each question has 5 options and one right answer. A right answer earns 1 mark. A wrong answer costs 0.25. A question left blank scores nothing.
  4. Fill one bubble per question on the answer sheet. Unlike a real sheet, you can clear it and change your mind.

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

Part AEnglish Language

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

  1. Select the one word that can replace the given group of words.
    The superior of an abbey of monks
    Question 1
    Answer and working

    Answer B

    Abbot: the superior of an abbey of monks.

    Source: WordNet 3.1

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

    Answer C

    unoffecial is wrong; it is spelt unofficial. The others are correct.

  3. Select the one word that can replace the given group of words.
    A specialist in gynecology
    Question 3
    Answer and working

    Answer C

    Gynaecologist: a specialist in gynecology.

    Source: WordNet 3.1

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

    Answer E

    The correct spelling is livelihood.

  5. Select the one word that can replace the given group of words.
    Someone who engages in surfboarding
    Question 5
    Answer and working

    Answer A

    Surfer: someone who engages in surfboarding.

    Source: WordNet 3.1

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

    Answer D

    Suave (adjective) and Debonair share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer D

    The opposite of stimulate is Stifle.

    Source: WordNet 3.1

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

    Answer D

    Desist (verb) and Refrain share their main meaning. None of the other options does.

    Source: WordNet 3.1

  9. Select the word closest in meaning to the given word.
    Lump
    Question 9
    Answer and working

    Answer A

    Lump (noun) and Chunk share their main meaning. None of the other options does.

    Source: WordNet 3.1

  10. Select the correctly spelt word.
    Question 10
    Answer and working

    Answer D

    The correct spelling is subsidiary.

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

    Answer C

    greeniry is wrong; it is spelt greenery. The others are correct.

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

    Answer E

    Stylish (adjective) and Fashionable share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer D

    Speculate (verb) and Conjecture share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer D

    The correct spelling is intermittent.

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

    Answer B

    The opposite of download is Upload.

    Source: WordNet 3.1

  16. Select the word opposite in meaning to the given word.
    Confident
    Question 16
    Answer and working

    Answer B

    The opposite of confident is Diffident.

    Source: WordNet 3.1

  17. Select the one word that can replace the given group of words.
    Someone who leads you to believe something that is not true
    Question 17
    Answer and working

    Answer B

    Deceiver: someone who leads you to believe something that is not true.

    Source: WordNet 3.1

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

    Answer B

    Nonchalant (adjective) and Casual 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.
    An assistant subject to the authority or control of another
    Question 19
    Answer and working

    Answer E

    Underling: an assistant subject to the authority or control of another.

    Source: WordNet 3.1

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

    Answer C

    The correct spelling is bribery.

  21. Select the one word that can replace the given group of words.
    A very boastful and talkative person
    Question 21
    Answer and working

    Answer C

    Braggart: a very boastful and talkative person.

    Source: WordNet 3.1

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

    Answer D

    The correct spelling is passive.

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

    Answer A

    Assortment (noun) and Variety 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.
    Narrative
    Question 24
    Answer and working

    Answer A

    Narrative (noun) and Story 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.
    Surrender
    Question 25
    Answer and working

    Answer D

    The opposite of surrender is Resist.

    Source: WordNet 3.1

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

    Answer C

    Froth (verb) and Foam share their main meaning. None of the other options does.

    Source: WordNet 3.1

  27. Select the word opposite in meaning to the given word.
    Upstream
    Question 27
    Answer and working

    Answer D

    The opposite of upstream is Downstream.

    Source: WordNet 3.1

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

    Answer B

    abomineble is wrong; it is spelt abominable. The others are correct.

  29. Select the word opposite in meaning to the given word.
    Complexity
    Question 29
    Answer and working

    Answer B

    The opposite of complexity is Simplicity.

    Source: WordNet 3.1

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

    Answer E

    irregation is wrong; it is spelt irrigation. The others are correct.

Part BNumerical Ability

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

  1. Solve both equations and compare x and y.
    I. x² − 10x = 0
    II. y² − 6y − 40 = 0
    Question 31
    Answer and working

    Answer E

    I gives x = 0 or 10. II gives y = −4 or 10. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  2. Ramesh can finish a piece of work in 72 days and Suresh can finish it in 24 days. Working together, how long will they take?
    Question 32
    Answer and working

    Answer E

    In one day they do 1/72 + 1/24 = 1/18 of the work. Time = 72 × 24 ÷ (72 + 24) = 18 days.

  3. Solve both equations and compare x and y.
    I. x² + 12x + 32 = 0
    II. y² + 9y + 18 = 0
    Question 33
    Answer and working

    Answer E

    I gives x = −8 or −4. II gives y = −6 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. By selling a watch for ₹798, a man loses 5%. For how much should he sell it to gain 15%?
    Question 34
    Answer and working

    Answer B

    CP = 798 × 100/95 = ₹840. For a 15% gain: 840 × 115/100 = ₹966.

  5. What is the value of 67² − 15²?
    Question 35
    Answer and working

    Answer D

    a² − b² = (a + b)(a − b) = 82 × 52 = 4,264.

  6. What is √484 + √729 − √576?
    Question 36
    Answer and working

    Answer E

    22 + 27 − 24 = 25.

  7. Which number replaces the question mark? 16, 25, ?, 49, 64, 81
    Question 37
    Answer and working

    Answer C

    The rule: the terms are 4², 5², 6² …. The missing term is 36.

  8. What is the average of 59, 69, 21, 84 and 42?
    Question 38
    Answer and working

    Answer D

    Sum = 275. Average = 275 ÷ 5 = 55.

  9. Directions for questions 39 to 43

    Study the table and answer the questions that follow.

    Bicycles sold by five shops, in two successive years
    ShopYear 1Year 2
    Shop P280336
    Shop Q280322
    Shop R340510
    Shop S580609
    Shop T520624
  10. Shop P’s Year 2 figure is what percent of Shop T’s Year 2 figure?
    Question 39
    Answer and working

    Answer C

    336 ÷ 624 × 100 = 53.85%.

  11. What is the ratio of Shop S’s Year 1 figure to Shop P’s Year 2 figure?
    Question 40
    Answer and working

    Answer B

    580 : 336 = 145 : 84.

  12. Which one grew the most in percentage terms from Year 1 to Year 2?
    Question 41
    Answer and working

    Answer E

    Growth: Shop P 20%, Shop Q 15%, Shop R 50%, Shop S 5%, Shop T 20%. The highest is Shop R.

  13. What is the average Year 2 figure of the five?
    Question 42
    Answer and working

    Answer E

    Sum of Year 2 = 2,401. ÷ 5 = 480.2.

  14. What is the total for Shop T over the two years?
    Question 43
    Answer and working

    Answer A

    520 + 624 = 1,144.

  15. Two fair dice are thrown together. What is the probability that the sum is at least 7?
    Question 44
    Answer and working

    Answer A

    There are 36 equally likely outcomes and 21 of them qualify. Probability = 7⁄12.

  16. A number is first increased by 40% and then decreased by 10%. What is the net change?
    Question 45
    Answer and working

    Answer D

    Net effect = 40 − 10 − (40 × 10)/100 = 26%, so 26% increase.

  17. What is the fourth proportional to 3, 22 and 57?
    Question 46
    Answer and working

    Answer E

    3 : 22 = 57 : x, so x = 22 × 57 ÷ 3 = 418.

  18. What is √144 + √841 − √441?
    Question 47
    Answer and working

    Answer B

    12 + 29 − 21 = 20.

  19. A sum of money at simple interest amounts to ₹33,060 in 2 years and to ₹39,900 in 5 years. What is the sum?
    Question 48
    Answer and working

    Answer E

    Interest for 3 years = 39,900 − 33,060 = ₹6,840, so ₹2,280 a year. Interest for 2 years = ₹4,560. Sum = 33,060 − 4,560 = ₹28,500.

  20. A train 290 m long crosses a platform 130 m long in 14 seconds. What is the speed of the train?
    Question 49
    Answer and working

    Answer A

    It must cover its own length and the platform: 290 + 130 = 420 m in 14 s, so 30 m/s = 30 × 18/5 = 108 km/h.

  21. The present ages of Asha and her elder brother are in the ratio 1 : 2. After 8 years, the ratio will be 3 : 4. What is Asha’s present age?
    Question 50
    Answer and working

    Answer B

    Ages 1x and 2x. (1x + 8) : (2x + 8) = 3 : 4 gives x = 4. Asha is 1 × 4 = 4 years.

  22. In what ratio must rice at ₹51/kg be mixed with rice at ₹85/kg so that the mixture is worth ₹59/kg?
    Question 51
    Answer and working

    Answer E

    By alligation: cheaper : dearer = (85 − 59) : (59 − 51) = 26 : 8 = 13 : 4.

  23. A boat covers 45 km downstream in 3 hours and 18 km upstream in 6 hours. What is the speed of the stream?
    Question 52
    Answer and working

    Answer A

    Downstream speed = 45 ÷ 3 = 15 km/h; upstream = 18 ÷ 6 = 3 km/h. Stream = (15 − 3) ÷ 2 = 6 km/h.

  24. The monthly rent of a shop goes from ₹460 to ₹184. What is the percentage decrease?
    Question 53
    Answer and working

    Answer A

    Change = ₹276. On the original value: 276 ÷ 460 × 100 = 60%, a 60% decrease. Dividing by the new value, 184, is the usual slip.

  25. Which number replaces the question mark? 22, 27, 36, 49, 66, 87, ?
    Question 54
    Answer and working

    Answer A

    The rule: the differences grow by 4: 5, 9, 13, 17, 21, 25. The missing term is 112.

  26. By selling a watch for ₹513, a man loses 5%. For how much should he sell it to gain 20%?
    Question 55
    Answer and working

    Answer A

    CP = 513 × 100/95 = ₹540. For a 20% gain: 540 × 120/100 = ₹648.

  27. What is √484 + √784 − √289?
    Question 56
    Answer and working

    Answer A

    22 + 28 − 17 = 33.

  28. Solve both equations and compare x and y.
    I. x² + 7x − 8 = 0
    II. y² + 8y − 9 = 0
    Question 57
    Answer and working

    Answer E

    I gives x = −8 or 1. II gives y = −9 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.

  29. Solve both equations and compare x and y.
    I. x² − 9x − 10 = 0
    II. y² − 11y − 12 = 0
    Question 58
    Answer and working

    Answer E

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

  30. What is √144 + √529 − √784?
    Question 59
    Answer and working

    Answer B

    12 + 23 − 28 = 7.

  31. Which number replaces the question mark? 25, 36, 49, 64, 81, 100, ?
    Question 60
    Answer and working

    Answer D

    The rule: the terms are 5², 6², 7² …. The missing term is 121.

  32. Which number replaces the question mark? 4, 8, 16, 32, 64, ?
    Question 61
    Answer and working

    Answer D

    The rule: each term is the previous × 2. The missing term is 128.

  33. What is the compound interest on ₹17,500 for 2 years at 4% per annum, compounded annually?
    Question 62
    Answer and working

    Answer E

    Amount = 17,500 × (1 + 4/100)2 = ₹18,928. CI = 18,928 − 17,500 = ₹1,428.

  34. A train 240 m long crosses a platform 450 m long in 46 seconds. What is the speed of the train?
    Question 63
    Answer and working

    Answer C

    It must cover its own length and the platform: 240 + 450 = 690 m in 46 s, so 15 m/s = 15 × 18/5 = 54 km/h.

  35. Solve both equations and compare x and y.
    I. x² + 5x − 36 = 0
    II. y² − 4y − 12 = 0
    Question 64
    Answer and working

    Answer E

    I gives x = −9 or 4. II gives y = −2 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.

  36. Which number replaces the question mark? 3, 6, 11, 18, 27, 38, ?
    Question 65
    Answer and working

    Answer B

    The rule: the terms are 1², 2², 3² … plus 2. The missing term is 51.

Part CReasoning Ability

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

  1. Statement: W < L < V < D ≤ C
    Conclusions: I. D ≥ W   II. W > D
    Question 66
    Answer and working

    Answer A

    D and W: the chain gives D > W, so D ≥ W is definitely true. W and D: the chain gives W < D, so W > D is not definitely true. So: Only conclusion I follows.

  2. Statement: F ≥ L > S = U < G
    Conclusions: I. S < G   II. F ≥ G
    Question 67
    Answer and working

    Answer A

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

  3. Directions for questions 68 to 72

    Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Bina sits immediately to the left of Chetan. Farhan sits third to the right of Esha. Exactly one person sits between Farhan and Divya. Divya sits third to the right of Bina.
  4. Who sits immediately to the right of Chetan?
    Question 68
    Answer and working

    Answer D

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

  5. Who sits at the extreme left end?
    Question 69
    Answer and working

    Answer A

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

  6. What is Farhan’s position from the left end?
    Question 70
    Answer and working

    Answer D

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

  7. Who sits at the extreme right end?
    Question 71
    Answer and working

    Answer D

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

  8. Which pair sits at the two ends of the row?
    Question 72
    Answer and working

    Answer B

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

  9. In the English alphabet, which letter is 9th to the left of the 20th letter from the left?
    Question 73
    Answer and working

    Answer C

    The 20th letter from the left is T (position 20). 9 places to the left: position 11, which is K.

  10. Pointing to a woman in a photograph, Sana said, ‘She is the daughter of my grandfather’s only son.’ How is the woman related to Sana?
    Question 74
    Answer and working

    Answer D

    My grandfather’s only son is my father; his child, other than me, is my brother or sister. So the woman is Sana’s sister.

  11. Vijay walks 5 km towards the west. He turns left and walks 14 km. He turns right and walks 7 km. In which direction is he from the starting point?
    Question 75
    Answer and working

    Answer E

    Taking east and north as positive: he ends 12 km west and 14 km south of the start, which is to the South-west.

  12. If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 47 ÷ 10 − 10 × 14 + 2?
    Question 76
    Answer and working

    Answer D

    Replace the signs: 47 + 10 ÷ 10 − 14 × 2. Division and multiplication first, then addition and subtraction: 20.

  13. Statements:
    (1) All shirts are roads.
    (2) Some buses are shirts.
    (3) All buses are clocks.

    Conclusions:
    (I) Some clocks are shirts.
    (II) All clocks are buses.

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

    Answer A

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

  14. In a queue, Anjali is 15th from the front and Sohan is 37th from the front. How many people stand between them?
    Question 78
    Answer and working

    Answer B

    Between positions 15 and 37 there are 37 − 15 − 1 = 21 people.

  15. Statement: H < Z < S ≤ D ≤ W
    Conclusions: I. W ≥ Z   II. S ≤ H
    Question 79
    Answer and working

    Answer A

    W and Z: the chain gives W > Z, so W ≥ Z is definitely true. S and H: the chain gives S > H, so S ≤ H is not definitely true. So: Only conclusion I follows.

  16. Statements:
    (1) Some buses are not flowers.
    (2) Some flowers are boxes.
    (3) All boxes are clouds.

    Conclusions:
    (I) No flowers are boxes.
    (II) All clouds are boxes.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 80
    Answer and working

    Answer D

    Conclusion I need not hold: flowers and boxes may overlap. Conclusion II need not hold: some clouds may lie outside boxes. So: Neither conclusion follows.

  17. Pointing to a man in a photograph, Rekha said, ‘His father is the only son of my father.’ How is the man related to Rekha?
    Question 81
    Answer and working

    Answer E

    The only son of my father is my brother, so the child is my brother’s. So the man is Rekha’s nephew.

  18. In a certain code, BREAD is written as CQFZE. How is LEMON written in that code?
    Question 82
    Answer and working

    Answer D

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

  19. Statement: L > X > D ≥ F ≥ E
    Conclusions: I. L > D   II. D = L
    Question 83
    Answer and working

    Answer A

    L and D: the chain gives L > D, so L > D is definitely true. D and L: the chain gives D < L, so D = L is not definitely true. So: Only conclusion I follows.

  20. In a certain code, STAR is written as TCVU. How is KNIFE written in that code?
    Question 84
    Answer and working

    Answer C

    From STAR → TCVU: the word is written backwards and each letter moves 2 forward. Applied to KNIFE: GHKPM.

  21. Manoj walks 3 km towards the south. He turns right and walks 6 km. He turns right and walks 3 km. He turns right and walks 14 km. How far, and in which direction, is he from the starting point?
    Question 85
    Answer and working

    Answer A

    Taking east and north as positive: he ends 8 km east and 0 km north of the start. Distance = √(8² + 0²) = 8 km. 8 km, east.

  22. Which number replaces the question mark? 6, 8, 13, 21, 32, ?
    Question 86
    Answer and working

    Answer D

    The rule: the differences grow by 3: 2, 5, 8, 11, 14, 17. The missing term is 46.

  23. Statement: P < T > V ≥ G ≤ U
    Conclusions: I. G = P   II. T ≥ G
    Question 87
    Answer and working

    Answer B

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

  24. Statements:
    (1) All tables are lamps.
    (2) All tables are cups.
    (3) No flowers are cups.

    Conclusions:
    (I) No flowers are tables.
    (II) Some flowers are not cups.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 88
    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.

  25. Pointing to a man in a photograph, Kavita said, ‘He is the father of my brother’s only niece.’ How is the man related to Kavita?
    Question 89
    Answer and working

    Answer A

    My brother’s only niece is my daughter, so he is my daughter’s father. So the man is Kavita’s husband.

  26. In a queue, Ravi is 10th from the front and Ritu is 34th from the front. How many people stand between them?
    Question 90
    Answer and working

    Answer B

    Between positions 10 and 34 there are 34 − 10 − 1 = 23 people.

  27. Priya walks 11 km towards the north. She turns left and walks 12 km. She turns left and walks 6 km. How far, and in which direction, is she from the starting point?
    Question 91
    Answer and working

    Answer E

    Taking east and north as positive: she ends 12 km west and 5 km north of the start. Distance = √(12² + 5²) = 13 km. 13 km, north-west.

  28. In a certain code, DESK is written as EFTL. How is CHAIR written in that code?
    Question 92
    Answer and working

    Answer C

    From DESK → EFTL: each letter moves 1 place forward. Applied to CHAIR: DIBJS.

  29. In the English alphabet, which letter is 4th to the left of the 17th letter from the left?
    Question 93
    Answer and working

    Answer D

    The 17th letter from the left is Q (position 17). 4 places to the left: position 13, which is M.

  30. Statements:
    (1) Some lamps are chairs.
    (2) All phones are chairs.

    Conclusions:
    (I) No chairs are phones.
    (II) All chairs are phones.

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

    Answer D

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

  31. Statements:
    (1) All lamps are bottles.
    (2) Some stones are bottles.
    (3) No stones are phones.

    Conclusions:
    (I) Some stones are lamps.
    (II) No phones are lamps.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 95
    Answer and working

    Answer D

    Conclusion I need not hold: stones and lamps need not overlap at all. Conclusion II need not hold: phones and lamps may overlap. So: Neither conclusion follows.

  32. Which number replaces the question mark? 1, 2, 6, ?, 88, 445
    Question 96
    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 21.

  33. Which one does not belong with the others?
    Question 97
    Answer and working

    Answer B

    512, 8, 343, 1000 are cubes; 49 is a square, not a cube. The odd one is 49.

  34. In a certain code, SHIP is written as HSRK. How is SUGAR written in that code?
    Question 98
    Answer and working

    Answer A

    From SHIP → HSRK: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to SUGAR: HFTZI.

  35. Statements:
    (1) No watches are boxes.
    (2) Some chairs are watches.

    Conclusions:
    (I) All chairs are boxes.
    (II) No chairs are watches.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 99
    Answer and working

    Answer D

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

  36. If ‘+’ means ‘−’, ‘−’ means ‘+’, ‘×’ means ‘÷’, ‘÷’ means ‘×’, what is the value of 27 + 10 × 10 ÷ 20 − 4?
    Question 100
    Answer and working

    Answer D

    Replace the signs: 27 − 10 ÷ 10 × 20 + 4. Division and multiplication first, then addition and subtraction: 11.