NIACL AO PrelimsPaper 9, booklet 2616551

Test booklet
प्रश्न पुस्तिका
Booklet No.
2616551
Series
B

NIACL AO 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. 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 correctly spelt word.
    Question 1
    Answer and working

    Answer E

    The correct spelling is ammonium.

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

    Answer C

    The correct spelling is interrogation.

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

    Answer B

    Mistrust (noun) and Suspicion share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer B

    Segment (verb) and Section share their main meaning. None of the other options does.

    Source: WordNet 3.1

  5. Select the one word that can replace the given group of words.
    A person who makes or repairs shoes
    Question 5
    Answer and working

    Answer D

    Shoemaker: a person who makes or repairs shoes.

    Source: WordNet 3.1

  6. Select the one word that can replace the given group of words.
    An attendant who carries the golf clubs for a player
    Question 6
    Answer and working

    Answer A

    Caddie: an attendant who carries the golf clubs for a player.

    Source: WordNet 3.1

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

    Answer C

    The opposite of optimistic is Pessimistic.

    Source: WordNet 3.1

  8. Select the correctly spelt word.
    Question 8
    Answer and working

    Answer A

    The correct spelling is dietary.

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

    Answer E

    Imitate (verb) and Copy share their main meaning. None of the other options does.

    Source: WordNet 3.1

  10. Select the one word that can replace the given group of words.
    A companion at play
    Question 10
    Answer and working

    Answer D

    Playmate: a companion at play.

    Source: WordNet 3.1

  11. Select the one word that can replace the given group of words.
    A person who is not very intelligent or interested in culture
    Question 11
    Answer and working

    Answer E

    Rube: a person who is not very intelligent or interested in culture.

    Source: WordNet 3.1

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

    Answer A

    Comical (adjective) and Funny share their main meaning. None of the other options does.

    Source: WordNet 3.1

  13. Select the incorrectly spelt word.
    Question 13
    Answer and working

    Answer C

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

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

    Answer C

    Unafraid (adjective) and Fearless 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.
    Joyful
    Question 15
    Answer and working

    Answer E

    The opposite of joyful is Sorrowful.

    Source: WordNet 3.1

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

    Answer C

    amplefier is wrong; it is spelt amplifier. The others are correct.

  17. Select the one word that can replace the given group of words.
    An official elected by the plebeians to protect their interests
    Question 17
    Answer and working

    Answer E

    Tribune: an official elected by the plebeians to protect their interests.

    Source: WordNet 3.1

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

    Answer E

    Tantamount (adjective) and Equivalent share their main meaning. None of the other options does.

    Source: WordNet 3.1

  19. Select the correctly spelt word.
    Question 19
    Answer and working

    Answer C

    The correct spelling is therein.

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

    Answer D

    Obligation (noun) and Duty share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer B

    irriplaceable is wrong; it is spelt irreplaceable. The others are correct.

  22. Select the word opposite in meaning to the given word.
    Thrifty
    Question 22
    Answer and working

    Answer E

    The opposite of thrifty is Wasteful.

    Source: WordNet 3.1

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

    Answer D

    Expectancy (noun) and Anticipation 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.
    Entrust
    Question 24
    Answer and working

    Answer C

    Entrust (verb) and Confide 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.
    Uptown
    Question 25
    Answer and working

    Answer A

    The opposite of uptown is Downtown.

    Source: WordNet 3.1

  26. Select the one word that can replace the given group of words.
    Someone who makes copies illegally
    Question 26
    Answer and working

    Answer A

    Forger: someone who makes copies illegally.

    Source: WordNet 3.1

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

    Answer D

    The opposite of upstairs is Downstairs.

    Source: WordNet 3.1

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

    Answer C

    The opposite of scarce is Abundant.

    Source: WordNet 3.1

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

    Answer C

    The correct spelling is huckleberry.

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

    Answer A

    The correct spelling is inadmissible.

Part BReasoning Ability

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

  1. Statement: A ≤ Y = T ≥ Q < S
    Conclusions: I. A < T   II. A = T
    Question 31
    Answer and working

    Answer C

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

  2. Statement: Z ≤ A < W = N ≤ T
    Conclusions: I. W ≥ Z   II. W > Z
    Question 32
    Answer and working

    Answer E

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

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

    Answer E

    130, 104, 182, 52 are multiples of 13; 111 is not. The odd one is 111.

  4. Statements:
    (1) No clouds are cups.
    (2) No rings are clouds.
    (3) All rings are trees.

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

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

  5. Statement: T < A < C ≤ H < Z
    Conclusions: I. Z < T   II. T < C
    Question 35
    Answer and working

    Answer B

    Z and T: the chain gives Z > T, so Z < T is not definitely true. T and C: the chain gives T < C, so T < C is definitely true. So: Only conclusion II follows.

  6. If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘+’, ‘÷’ means ‘−’, what is the value of 24 ÷ 10 × 5 + 12 − 5?
    Question 36
    Answer and working

    Answer C

    Replace the signs: 24 − 10 + 5 × 12 ÷ 5. Division and multiplication first, then addition and subtraction: 26.

  7. Directions for questions 37 to 41

    Seven friends, Arun, Bina, Chetan, Divya, Esha, Farhan and Gopal, sit in a row facing north. Esha sits third to the left of Divya. Exactly one person sits between Bina and Farhan. Exactly 2 people sit between Bina and Chetan. Chetan and Esha sit next to each other. Exactly 2 people sit between Chetan and Arun.
  8. Who sits exactly between Gopal and Chetan?
    Question 37
    Answer and working

    Answer D

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

  9. How many people sit between Esha and Chetan?
    Question 38
    Answer and working

    Answer A

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

  10. Who sits second to the right of Esha?
    Question 39
    Answer and working

    Answer C

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

  11. What is Divya’s position from the left end?
    Question 40
    Answer and working

    Answer E

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

  12. Who sits at the extreme right end?
    Question 41
    Answer and working

    Answer C

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

  13. In a certain code, APPLE is written as BQQMF. How is GOLD written in that code?
    Question 42
    Answer and working

    Answer B

    From APPLE → BQQMF: each letter moves 1 place forward. Applied to GOLD: HPME.

  14. Asha walks 4 km towards the north. She turns right and walks 5 km. She turns left and walks 12 km. Which direction is she facing now?
    Question 43
    Answer and working

    Answer A

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

  15. In a class, Ravi ranks 12th from the top and 7th from the bottom. How many students are in the class?
    Question 44
    Answer and working

    Answer A

    Ravi is counted in both ranks, so the total is 12 + 7 − 1 = 18.

  16. Imran walks 14 km towards the south. He turns right and walks 5 km. He turns right and walks 14 km. How far, and in which direction, is he from the starting point?
    Question 45
    Answer and working

    Answer C

    Taking east and north as positive: he ends 5 km west and 0 km north of the start. Distance = √(5² + 0²) = 5 km. 5 km, west.

  17. In the English alphabet, which letter is 3rd to the right of the 9th letter from the right?
    Question 46
    Answer and working

    Answer E

    The 9th letter from the right is R (position 18). 3 places to the right: position 21, which is U.

  18. Statements:
    (1) No kites are rivers.
    (2) Some kites are buses.
    (3) No birds are buses.

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

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 47
    Answer and working

    Answer A

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

  19. In a certain code, ROAD is written as ILZW. How is FLOWER written in that code?
    Question 48
    Answer and working

    Answer B

    From ROAD → ILZW: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to FLOWER: UOLDVI.

  20. In a certain code, BREAD is written as EBFSC. How is SISTER written in that code?
    Question 49
    Answer and working

    Answer B

    From BREAD → EBFSC: the word is written backwards and each letter moves 1 forward. Applied to SISTER: SFUTJT.

  21. Statements:
    (1) No rings are bags.
    (2) No bags are buses.

    Conclusions:
    (I) Some rings are buses.
    (II) Some bags are not buses.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 50
    Answer and working

    Answer B

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

  22. Statement: L < S ≤ M < V ≤ P
    Conclusions: I. P ≥ S   II. P ≤ M
    Question 51
    Answer and working

    Answer A

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

  23. In the English alphabet, which letter is 5th to the right of the 15th letter from the left?
    Question 52
    Answer and working

    Answer D

    The 15th letter from the left is O (position 15). 5 places to the right: position 20, which is T.

  24. Q is the wife of F. L is the son of H. H is the brother of Q. How is L related to F?
    Question 53
    Answer and working

    Answer B

    Follow the links out from F: Q is F’s wife; H is Q’s brother; L is H’s son. So L is F’s nephew.

  25. F is the sister of B. U is the husband of F. How is U related to B?
    Question 54
    Answer and working

    Answer E

    Follow the links out from B: F is B’s sister; U is F’s husband. So U is B’s brother-in-law.

  26. If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 35 − 2 + 2 ÷ 17 × 11?
    Question 55
    Answer and working

    Answer C

    Replace the signs: 35 × 2 ÷ 2 + 17 − 11. Division and multiplication first, then addition and subtraction: 41.

  27. In a certain code, CHAIR is written as DGBHS. How is MARKET written in that code?
    Question 56
    Answer and working

    Answer D

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

  28. Find the wrong number in the series: 3, 12, 37, 120, 363, 1,092, 3,279
    Question 57
    Answer and working

    Answer E

    The rule: each term is the previous × 3 + 3. The term in place of 37 should be 39, so the wrong number is 37.

  29. In a class, Meena ranks 11th from the top and 9th from the bottom. How many students are in the class?
    Question 58
    Answer and working

    Answer E

    Meena is counted in both ranks, so the total is 11 + 9 − 1 = 19.

  30. Find the wrong number in the series: 17, 61, 19, 55, 21, 49, 20, 43
    Question 59
    Answer and working

    Answer A

    The rule: two series alternate: 17, 19, 21 … rising by 2, and 61, 55, 49 … falling by 6. The term in place of 20 should be 23, so the wrong number is 20.

  31. Statements:
    (1) All stones are chairs.
    (2) All chairs are shirts.

    Conclusions:
    (I) Some stones are chairs.
    (II) No chairs are stones.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 60
    Answer and working

    Answer A

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

  32. Rekha walks 13 km towards the west. She turns left and walks 15 km. She turns right and walks 11 km. She turns right and walks 15 km. She turns left and walks 15 km. How far is she from the starting point in a straight line?
    Question 61
    Answer and working

    Answer E

    Taking east and north as positive: she ends 39 km west and 0 km north of the start. Straight-line distance = √(39² + 0²) = 39 km.

  33. Statement: T < M < W ≤ H ≤ Y
    Conclusions: I. W = Y   II. W < Y
    Question 62
    Answer and working

    Answer C

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

  34. V is the daughter of D. T is the husband of V. How is T related to D?
    Question 63
    Answer and working

    Answer D

    Follow the links out from D: V is D’s daughter; T is V’s husband. So T is D’s son-in-law.

  35. Statements:
    (1) All birds are clocks.
    (2) No phones are clocks.
    (3) No phones are tables.

    Conclusions:
    (I) No birds are phones.
    (II) Some birds are not tables.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 64
    Answer and working

    Answer A

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

  36. Statement: H < Y < R > C > P
    Conclusions: I. P > Y   II. P < R
    Question 65
    Answer and working

    Answer B

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

Part CQuantitative Aptitude

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

  1. A scooter runs at 144 km/h. What is its speed in metres per second?
    Question 66
    Answer and working

    Answer D

    Multiply by 5/18: 144 × 5/18 = 40 m/s.

  2. ₹90,000 amounts to ₹1,08,900 in 2 years at compound interest, compounded annually. What is the rate of interest?
    Question 67
    Answer and working

    Answer B

    (1 + R/100)² = 1,08,900/90,000 = 1.21, so 1 + R/100 = 1.1 and R = 10%. Dividing the interest equally between the years (simple interest) gives a wrong answer.

  3. What is √529 + √256 − √144?
    Question 68
    Answer and working

    Answer B

    23 + 16 − 12 = 27.

  4. Simplify: 5⁄6 + 11⁄12 + 1⁄3
    Question 69
    Answer and working

    Answer E

    Over the common denominator 12: the sum is 25⁄12. Adding tops and bottoms separately (17/21) is the trap.

  5. Solve both equations and compare x and y.
    I. x² − 2x − 99 = 0
    II. y² − 12y + 35 = 0
    Question 70
    Answer and working

    Answer E

    I gives x = −9 or 11. II gives y = 5 or 7. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  6. Which number replaces the question mark? 0, 3, 8, 15, 24, 35, ?
    Question 71
    Answer and working

    Answer E

    The rule: the terms are 1², 2², 3² … minus 1. The missing term is 48.

  7. Solve both equations and compare x and y.
    I. x² − 11x + 28 = 0
    II. y² − 12y + 35 = 0
    Question 72
    Answer and working

    Answer E

    I gives x = 4 or 7. II gives y = 5 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. What is the value of 97² − 33²?
    Question 73
    Answer and working

    Answer D

    a² − b² = (a + b)(a − b) = 130 × 64 = 8,320.

  9. By selling a watch for ₹1,343, a man loses 15%. For how much should he sell it to gain 5%?
    Question 74
    Answer and working

    Answer E

    CP = 1,343 × 100/85 = ₹1,580. For a 5% gain: 1,580 × 105/100 = ₹1,659.

  10. A trader buys a bicycle for ₹200 and sells it for ₹170. What is the profit or loss percent?
    Question 75
    Answer and working

    Answer E

    Loss = ₹30. As a percent of the cost price: 30 ÷ 200 × 100 = 15% loss.

  11. Solve both equations and compare x and y.
    I. x² + 9x + 18 = 0
    II. y² − 3y − 88 = 0
    Question 76
    Answer and working

    Answer E

    I gives x = −6 or −3. II gives y = −8 or 11. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  12. A boat covers 95 km downstream in 5 hours and 68 km upstream in 4 hours. What is the speed of the boat in still water?
    Question 77
    Answer and working

    Answer C

    Downstream speed = 95 ÷ 5 = 19 km/h; upstream = 68 ÷ 4 = 17 km/h. Boat = (19 + 17) ÷ 2 = 18 km/h.

  13. The monthly rent of a shop goes from ₹880 to ₹1,232. What is the percentage increase?
    Question 78
    Answer and working

    Answer C

    Change = ₹352. On the original value: 352 ÷ 880 × 100 = 40%, a 40% increase. Dividing by the new value, 1,232, is the usual slip.

  14. Solve both equations and compare x and y.
    I. x² − 9x + 20 = 0
    II. y² − 6y − 27 = 0
    Question 79
    Answer and working

    Answer E

    I gives x = 4 or 5. II gives y = −3 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.

  15. The present ages of Asha and her elder brother are in the ratio 6 : 7. After 7 years, the ratio will be 7 : 8. What is Asha’s present age?
    Question 80
    Answer and working

    Answer E

    Ages 6x and 7x. (6x + 7) : (7x + 7) = 7 : 8 gives x = 7. Asha is 6 × 7 = 42 years.

  16. Simplify: 3⁄4 + 1⁄2 + 7⁄10
    Question 81
    Answer and working

    Answer E

    Over the common denominator 20: the sum is 39⁄20. Adding tops and bottoms separately (11/16) is the trap.

  17. ₹19,920 is divided among Amit, Bina and Chetan in the ratio 3 : 4 : 5. What is Amit’s share?
    Question 82
    Answer and working

    Answer A

    Total parts = 3 + 4 + 5 = 12. Amit gets 3/12 × 19,920 = ₹4,980.

  18. Find the wrong number in the series: 1, 10, 28, 51, 87, 136, 200
    Question 83
    Answer and working

    Answer E

    The rule: the differences are squares: 9, 16, 25, 36, 49, 64. The term in place of 28 should be 26, so the wrong number is 28.

  19. The average of 9 numbers is 38. When one number is removed, the average of the rest is 36. Which number was removed?
    Question 84
    Answer and working

    Answer C

    Total of 9 = 9 × 38 = 342. Total of 8 = 8 × 36 = 288. Removed = 342 − 288 = 54.

  20. Find the wrong number in the series: 8, 68, 15, 66, 22, 64, 26, 62
    Question 85
    Answer and working

    Answer A

    The rule: two series alternate: 8, 15, 22 … rising by 7, and 68, 66, 64 … falling by 2. The term in place of 26 should be 29, so the wrong number is 26.

  21. What is 5% of 1,820?
    Question 86
    Answer and working

    Answer B

    5% of 1,820 = 1,820 × 5/100 = 91.

  22. A is four times as efficient as B. Together they finish a job in 12 days. How long would A take alone?
    Question 87
    Answer and working

    Answer C

    If B does 1 unit a day, A does 4; together 5 units a day for 12 days = 60 units. A alone: 60 ÷ 4 = 15 days.

  23. The simple interest on a sum for 2 years at 6% per annum is ₹3,120. What is the sum?
    Question 88
    Answer and working

    Answer B

    P = SI × 100 / (R × T) = 3,120 × 100 / (6 × 2) = ₹26,000.

  24. A bag holds 6 red, 2 blue and 2 green balls. One ball is drawn at random. What is the probability that it is red?
    Question 89
    Answer and working

    Answer A

    6 of the 10 balls are red. Probability = 3⁄5.

  25. A train 300 m long passes a signal post in 20 seconds. What is its speed in km/h?
    Question 90
    Answer and working

    Answer C

    Speed = 300 ÷ 20 = 15 m/s = 15 × 18/5 = 54 km/h.

  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 A560728
    Centre B7801,092
    Centre C800880
    Centre D800640
    Centre E680748
  27. What is the ratio of Centre B’s Year 1 figure to Centre E’s Year 2 figure?
    Question 91
    Answer and working

    Answer B

    780 : 748 = 195 : 187.

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

    Answer A

    Change = 880 − 800 = 80. On Year 1: 80 ÷ 800 × 100 = 10% increase.

  29. Centre C’s Year 2 figure is what percent of Centre E’s Year 2 figure?
    Question 93
    Answer and working

    Answer A

    880 ÷ 748 × 100 = 117.65%.

  30. What is the average Year 2 figure of the five?
    Question 94
    Answer and working

    Answer E

    Sum of Year 2 = 4,088. ÷ 5 = 817.6.

  31. What is the total for Centre A over the two years?
    Question 95
    Answer and working

    Answer A

    560 + 728 = 1,288.

  32. Which number replaces the question mark? 67, 71, 73, 79, 83, 89, ?
    Question 96
    Answer and working

    Answer E

    The rule: consecutive prime numbers. The missing term is 97.

  33. Solve both equations and compare x and y.
    I. x² − 5x = 0
    II. y² − 3y − 54 = 0
    Question 97
    Answer and working

    Answer E

    I gives x = 0 or 5. II gives y = −6 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.

  34. Which number replaces the question mark? 3, 8, 15, 24, ?, 48
    Question 98
    Answer and working

    Answer D

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

  35. Simplify: 1⁄2 + 2⁄5 + 2⁄3
    Question 99
    Answer and working

    Answer B

    Over the common denominator 30: the sum is 47⁄30. Adding tops and bottoms separately (5/10) is the trap.

  36. In what ratio must rice at ₹33/kg be mixed with rice at ₹66/kg so that the mixture is worth ₹48/kg?
    Question 100
    Answer and working

    Answer E

    By alligation: cheaper : dearer = (66 − 48) : (48 − 33) = 18 : 15 = 6 : 5.