NIACL AO PrelimsPaper 7, booklet 1757097

Test booklet
प्रश्न पुस्तिका
Booklet No.
1757097
Series
D

NIACL AO Prelims Paper 7

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 closest in meaning to the given word.
    Nationalism
    Question 1
    Answer and working

    Answer C

    Nationalism (noun) and Patriotism share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer E

    Faithless (adjective) and Traitorous share their main meaning. None of the other options does.

    Source: WordNet 3.1

  3. Select the one word that can replace the given group of words.
    Someone who dissipates resources self-indulgently
    Question 3
    Answer and working

    Answer E

    Waster: someone who dissipates resources self-indulgently.

    Source: WordNet 3.1

  4. Select the word opposite in meaning to the given word.
    Sporadic
    Question 4
    Answer and working

    Answer D

    The opposite of sporadic is Continual.

    Source: WordNet 3.1

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

    Answer E

    Steadfast (adjective) and Firm share their main meaning. None of the other options does.

    Source: WordNet 3.1

  6. Select the one word that can replace the given group of words.
    A person who uses something or someone selfishly or unethically
    Question 6
    Answer and working

    Answer C

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

    Source: WordNet 3.1

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

    Answer C

    The correct spelling is omission.

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

    Answer B

    The correct spelling is mulligan.

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

    Answer B

    Nautical (adjective) and Maritime 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 specialist who studies processes in the earth's atmosphere that cause weather conditions
    Question 10
    Answer and working

    Answer D

    Meteorologist: a specialist who studies processes in the earth's atmosphere that cause weather conditions.

    Source: WordNet 3.1

  11. Select the word opposite in meaning to the given word.
    Pessimist
    Question 11
    Answer and working

    Answer D

    The opposite of pessimist is Optimist.

    Source: WordNet 3.1

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

    Answer C

    The opposite of outlaw is Legalize.

    Source: WordNet 3.1

  13. Select the one word that can replace the given group of words.
    Someone who habitually doubts accepted beliefs
    Question 13
    Answer and working

    Answer B

    Skeptic: someone who habitually doubts accepted beliefs.

    Source: WordNet 3.1

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

    Answer B

    hurricine is wrong; it is spelt hurricane. The others are correct.

  15. Select the word closest in meaning to the given word.
    Showy
    Question 15
    Answer and working

    Answer E

    Showy (adjective) and Flamboyant share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer D

    Amplify (verb) and Magnify share their main meaning. None of the other options does.

    Source: WordNet 3.1

  17. Select the incorrectly spelt word.
    Question 17
    Answer and working

    Answer E

    etirnally is wrong; it is spelt eternally. The others are correct.

  18. Select the one word that can replace the given group of words.
    Someone who fights bulls
    Question 18
    Answer and working

    Answer C

    Bullfighter: someone who fights bulls.

    Source: WordNet 3.1

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

    Answer D

    teennage is wrong; it is spelt teenage. The others are correct.

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

    Answer E

    Triumph (noun) and Victory 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 A

    apreciation is wrong; it is spelt appreciation. The others are correct.

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

    Answer D

    Shifty (adjective) and Devious 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 hitchhiker.

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

    Answer D

    The correct spelling is connoisseur.

  25. Select the word opposite in meaning to the given word.
    Upload
    Question 25
    Answer and working

    Answer C

    The opposite of upload is Download.

    Source: WordNet 3.1

  26. Select the word opposite in meaning to the given word.
    Encouragement
    Question 26
    Answer and working

    Answer B

    The opposite of encouragement is Discouragement.

    Source: WordNet 3.1

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

    Answer C

    Layover (noun) and Stopover share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer E

    The opposite of flatter is Disparage. Blandish is the trap: it means the same, not the opposite.

    Source: WordNet 3.1

  29. Select the one word that can replace the given group of words.
    Someone who offers opposition
    Question 29
    Answer and working

    Answer B

    Antagonist: someone who offers opposition.

    Source: WordNet 3.1

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

    Answer C

    accelerattion is wrong; it is spelt acceleration. The others are correct.

Part BReasoning Ability

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

  1. Which number replaces the question mark? 12, 54, 17, 51, 22, 48, 27, ?
    Question 31
    Answer and working

    Answer A

    The rule: two series alternate: 12, 17, 22 … rising by 5, and 54, 51, 48 … falling by 3. The missing term is 45.

  2. D is the husband of F. G is the father of D. How is G related to F?
    Question 32
    Answer and working

    Answer D

    Follow the links out from F: D is F’s husband; G is D’s father. So G is F’s father-in-law.

  3. In a row of 54 students, Farhan is 8th from the left. What is Farhan’s position from the right?
    Question 33
    Answer and working

    Answer E

    Position from the right = total − position from the left + 1 = 54 − 8 + 1 = 47th.

  4. In a certain code, PENCIL is written as QDOBJK. How is FISH written in that code?
    Question 34
    Answer and working

    Answer D

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

  5. Statement: U < R < K = A ≤ V
    Conclusions: I. U ≤ K   II. V > R
    Question 35
    Answer and working

    Answer E

    U and K: the chain gives U < K, so U ≤ K is definitely true. V and R: the chain gives V > R, so V > R is definitely true. So: Both conclusions follow.

  6. Statement: B > E < L = A < G
    Conclusions: I. A > E   II. G ≥ E
    Question 36
    Answer and working

    Answer E

    A and E: the chain gives A > E, so A > E is definitely true. G and E: the chain gives G > E, so G ≥ E is definitely true. So: Both conclusions follow.

  7. F is the son of C. K is the wife of F. How is K related to C?
    Question 37
    Answer and working

    Answer C

    Follow the links out from C: F is C’s son; K is F’s wife. So K is C’s daughter-in-law.

  8. Statement: S ≥ V > D > Z = R
    Conclusions: I. S ≤ D   II. D < S
    Question 38
    Answer and working

    Answer B

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

  9. Statement: G < E ≥ H ≥ Z > A
    Conclusions: I. Z = G   II. Z ≥ E
    Question 39
    Answer and working

    Answer D

    Z and G: the signs between them point both ways, so no relation can be fixed, so Z = G is not definitely true. Z and E: the chain gives Z ≤ E, so Z ≥ E is not definitely true. So: Neither conclusion follows.

  10. In the English alphabet, which letter is 5th to the right of the 19th letter from the left?
    Question 40
    Answer and working

    Answer B

    The 19th letter from the left is S (position 19). 5 places to the right: position 24, which is X.

  11. If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 44 − 3 + 2 ÷ 10 × 6?
    Question 41
    Answer and working

    Answer D

    Replace the signs: 44 × 3 ÷ 2 + 10 − 6. Division and multiplication first, then addition and subtraction: 70.

  12. Directions for questions 42 to 46

    Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Esha sits second to the right of Chetan. Chetan sits immediately to the right of Bina. Esha sits immediately to the right of Arun. Divya sits somewhere to the right of Arun. Bina does not sit at either end.
  13. Who sits at the extreme right end?
    Question 42
    Answer and working

    Answer C

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

  14. How many people sit between Arun and Chetan?
    Question 43
    Answer and working

    Answer B

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

  15. Who sits immediately to the right of Farhan?
    Question 44
    Answer and working

    Answer B

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

  16. What is Farhan’s position from the left end?
    Question 45
    Answer and working

    Answer E

    Only one order fits every clue, from the left: Farhan, Bina, Chetan, Arun, Esha, Divya. 1st.

  17. Who sits at the extreme left end?
    Question 46
    Answer and working

    Answer A

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

  18. Which one does not belong with the others?
    Question 47
    Answer and working

    Answer B

    91, 143, 104, 169 are multiples of 13; 92 is not. The odd one is 92.

  19. Statements:
    (1) Some planes are bags.
    (2) No bags are coins.
    (3) Some coins are fans.

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

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 48
    Answer and working

    Answer B

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

  20. If ‘+’ means ‘×’, ‘−’ means ‘÷’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 48 + 2 − 6 × 4 ÷ 8?
    Question 49
    Answer and working

    Answer B

    Replace the signs: 48 × 2 ÷ 6 − 4 + 8. Division and multiplication first, then addition and subtraction: 20.

  21. Statements:
    (1) Some papers are roads.
    (2) All roads are shirts.

    Conclusions:
    (I) Some shirts are roads.
    (II) No shirts are papers.

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

    Answer A

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

  22. In the English alphabet, which letter is 7th to the right of the 9th letter from the left?
    Question 51
    Answer and working

    Answer E

    The 9th letter from the left is I (position 9). 7 places to the right: position 16, which is P.

  23. Pooja walks 2 km towards the west. She turns right and walks 3 km. She turns left and walks 5 km. She turns right and walks 9 km. In which direction is she from the starting point?
    Question 52
    Answer and working

    Answer B

    Taking east and north as positive: she ends 7 km west and 12 km north of the start, which is to the North-west.

  24. Statement: H ≤ G ≥ K > Y ≥ Z
    Conclusions: I. H = K   II. G ≥ Z
    Question 53
    Answer and working

    Answer B

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

  25. Statements:
    (1) No lamps are books.
    (2) Some books are not cups.
    (3) No cups are boxes.

    Conclusions:
    (I) Some boxes are not cups.
    (II) Some lamps are not boxes.

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

    Answer A

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

  26. Meera walks 12 km towards the north. She turns right and walks 6 km. She turns left and walks 12 km. In which direction is she from the starting point?
    Question 55
    Answer and working

    Answer D

    Taking east and north as positive: she ends 6 km east and 24 km north of the start, which is to the North-east.

  27. Which number replaces the question mark? 59, 61, 67, 71, 73, 79, ?
    Question 56
    Answer and working

    Answer D

    The rule: consecutive prime numbers. The missing term is 83.

  28. In a certain code, COPPER is written as XLKKVI. How is RIBBON written in that code?
    Question 57
    Answer and working

    Answer B

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

  29. Statement: E < J < X < G > W
    Conclusions: I. G > E   II. W ≤ X
    Question 58
    Answer and working

    Answer A

    G and E: the chain gives G > E, so G > E is definitely true. W and X: the signs between them point both ways, so no relation can be fixed, so W ≤ X is not definitely true. So: Only conclusion I follows.

  30. Neha walks 11 km towards the east. She turns right and walks 5 km. She turns right and walks 2 km. She turns left and walks 2 km. She turns left and walks 15 km. How far, and in which direction, is she from the starting point?
    Question 59
    Answer and working

    Answer D

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

  31. Statements:
    (1) Some phones are planes.
    (2) Some phones are chairs.

    Conclusions:
    (I) All chairs are planes.
    (II) All phones are chairs.

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

    Answer D

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

  32. Statements:
    (1) All leaves are bottles.
    (2) All cups are bottles.
    (3) No tables are cups.

    Conclusions:
    (I) Some bottles are not cups.
    (II) Some tables are leaves.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 61
    Answer and working

    Answer D

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

  33. In a certain code, CHAIR is written as TKCJE. How is LADDER written in that code?
    Question 62
    Answer and working

    Answer D

    From CHAIR → TKCJE: the word is written backwards and each letter moves 2 forward. Applied to LADDER: TGFFCN.

  34. In a certain code, MILK is written as OGNI. How is DESK written in that code?
    Question 63
    Answer and working

    Answer B

    From MILK → OGNI: letters in odd places move 2 forward, letters in even places move 2 back. Applied to DESK: FCUI.

  35. T is the wife of L. L is the brother of H. How is T related to H?
    Question 64
    Answer and working

    Answer B

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

  36. In a class, Lata ranks 13th from the top and 11th from the bottom. How many students are in the class?
    Question 65
    Answer and working

    Answer B

    Lata is counted in both ranks, so the total is 13 + 11 − 1 = 23.

Part CQuantitative Aptitude

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

  1. A and B together can do a job in 8 days. A alone can do it in 10 days. In how many days can B alone do it?
    Question 66
    Answer and working

    Answer C

    B’s one day = 1/8 − 1/10 = 1/40. B alone takes 40 days.

  2. A train 240 m long crosses a platform 560 m long in 32 seconds. What is the speed of the train?
    Question 67
    Answer and working

    Answer E

    It must cover its own length and the platform: 240 + 560 = 800 m in 32 s, so 25 m/s = 25 × 18/5 = 90 km/h.

  3. Directions for questions 68 to 72

    Study the table and answer the questions that follow.

    Bicycles sold by five shops, in two successive years
    ShopYear 1Year 2
    Shop P620682
    Shop Q260208
    Shop R8001,040
    Shop S660924
    Shop T300450
  4. What is the average Year 2 figure of the five?
    Question 68
    Answer and working

    Answer B

    Sum of Year 2 = 3,304. ÷ 5 = 660.8.

  5. By what percent did Shop R’s figure change from Year 1 to Year 2?
    Question 69
    Answer and working

    Answer A

    Change = 1,040 − 800 = 240. On Year 1: 240 ÷ 800 × 100 = 30% increase.

  6. What is the ratio of Shop P’s Year 1 figure to Shop Q’s Year 2 figure?
    Question 70
    Answer and working

    Answer D

    620 : 208 = 155 : 52.

  7. Shop R’s Year 2 figure is what percent of Shop T’s Year 2 figure?
    Question 71
    Answer and working

    Answer C

    1,040 ÷ 450 × 100 = 231.11%.

  8. Which one grew the most in percentage terms from Year 1 to Year 2?
    Question 72
    Answer and working

    Answer D

    Growth: Shop P 10%, Shop Q −20%, Shop R 30%, Shop S 40%, Shop T 50%. The highest is Shop T.

  9. Solve both equations and compare x and y.
    I. x² − 14x + 33 = 0
    II. y² − 15y + 50 = 0
    Question 73
    Answer and working

    Answer E

    I gives x = 3 or 11. II gives y = 5 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.

  10. 450 is what percent of 1,000?
    Question 74
    Answer and working

    Answer C

    450 ÷ 1,000 × 100 = 45%.

  11. What is √196 + √784 − √289?
    Question 75
    Answer and working

    Answer E

    14 + 28 − 17 = 25.

  12. Which number replaces the question mark? 10, 14, 23, 39, ?, 100
    Question 76
    Answer and working

    Answer B

    The rule: the differences are squares: 4, 9, 16, 25, 36, 49. The missing term is 64.

  13. Solve both equations and compare x and y.
    I. x² − 16x + 63 = 0
    II. y² − 8y − 33 = 0
    Question 77
    Answer and working

    Answer E

    I gives x = 7 or 9. II gives y = −3 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.

  14. Two successive discounts of 30% and 20% are equal to a single discount of:
    Question 78
    Answer and working

    Answer D

    Single discount = 30 + 20 − (30 × 20)/100 = 44%. The second discount is taken on the already reduced price, so the two do not simply add.

  15. Simplify: 89 + 6 × 2 − 18 ÷ 9
    Question 79
    Answer and working

    Answer A

    Division and multiplication first: 6 × 2 = 12 and 18 ÷ 9 = 2. Then 89 + 12 − 2 = 99.

  16. What is the value of 70² − 22²?
    Question 80
    Answer and working

    Answer D

    a² − b² = (a + b)(a − b) = 92 × 48 = 4,416.

  17. Which number replaces the question mark? 8, 27, 64, 125, 216, ?
    Question 81
    Answer and working

    Answer A

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

  18. If A : B = 7 : 4 and B : C = 2 : 7, what is A : B : C?
    Question 82
    Answer and working

    Answer B

    Make B the same in both: A : B = 14 : 8 and B : C = 8 : 28. So A : B : C = 7 : 4 : 14.

  19. A trader buys a bicycle for ₹2,100 and sells it for ₹1,785. What is the profit or loss percent?
    Question 83
    Answer and working

    Answer A

    Loss = ₹315. As a percent of the cost price: 315 ÷ 2,100 × 100 = 15% loss.

  20. The sum of the present ages of a father and his son is 58 years. 2 years ago, the father was 2 times as old as the son. How old is the son now?
    Question 84
    Answer and working

    Answer A

    Let the son be s. Then (58 − s − 2) = 2(s − 2), so 60 = 3s and s = 20 years.

  21. 225 is what percent of 1,800?
    Question 85
    Answer and working

    Answer D

    225 ÷ 1,800 × 100 = 12.5%.

  22. Which number replaces the question mark? 2, 49, 8, 45, 14, ?
    Question 86
    Answer and working

    Answer E

    The rule: two series alternate: 2, 8, 14 … rising by 6, and 49, 45, 41 … falling by 4. The missing term is 41.

  23. What is √225 + √441 − √841?
    Question 87
    Answer and working

    Answer E

    15 + 21 − 29 = 7.

  24. Solve both equations and compare x and y.
    I. x² + 17x + 72 = 0
    II. y² − 11y + 10 = 0
    Question 88
    Answer and working

    Answer C

    I gives x = −9 or −8. II gives y = 1 or 10. Every x is smaller than every y: x < y.

  25. The simple interest on a sum for 3 years at 5% per annum is ₹4,125. What is the sum?
    Question 89
    Answer and working

    Answer B

    P = SI × 100 / (R × T) = 4,125 × 100 / (5 × 3) = ₹27,500.

  26. What is the compound interest on ₹18,800 for 2 years at 15% per annum, compounded annually?
    Question 90
    Answer and working

    Answer B

    Amount = 18,800 × (1 + 15/100)2 = ₹24,863. CI = 24,863 − 18,800 = ₹6,063.

  27. Solve both equations and compare x and y.
    I. x² + x − 42 = 0
    II. y² − y − 42 = 0
    Question 91
    Answer and working

    Answer E

    I gives x = −7 or 6. II gives y = −6 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.

  28. A boat covers 48 km downstream in 4 hours and 8 km upstream in 2 hours. What is the speed of the stream?
    Question 92
    Answer and working

    Answer B

    Downstream speed = 48 ÷ 4 = 12 km/h; upstream = 8 ÷ 2 = 4 km/h. Stream = (12 − 4) ÷ 2 = 4 km/h.

  29. Which number replaces the question mark? 6, 7, 16, ?, 208, 1,045
    Question 93
    Answer and working

    Answer C

    The rule: each term is the previous × 1 + 1, × 2 + 2, × 3 + 3, and so on. The missing term is 51.

  30. The average of 12 numbers is 65. When one number is removed, the average of the rest is 64. Which number was removed?
    Question 94
    Answer and working

    Answer A

    Total of 12 = 12 × 65 = 780. Total of 11 = 11 × 64 = 704. Removed = 780 − 704 = 76.

  31. In what ratio must rice at ₹29/kg be mixed with rice at ₹45/kg so that the mixture is worth ₹35/kg?
    Question 95
    Answer and working

    Answer E

    By alligation: cheaper : dearer = (45 − 35) : (35 − 29) = 10 : 6 = 5 : 3.

  32. A bag holds 3 red, 4 blue and 4 green balls. One ball is drawn at random. What is the probability that it is red?
    Question 96
    Answer and working

    Answer D

    3 of the 11 balls are red. Probability = 3⁄11.

  33. Solve both equations and compare x and y.
    I. x² + x − 56 = 0
    II. y² − 3y + 2 = 0
    Question 97
    Answer and working

    Answer E

    I gives x = −8 or 7. II gives y = 1 or 2. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  34. Simplify: 52 + 4 × 9 − 9 ÷ 3
    Question 98
    Answer and working

    Answer A

    Division and multiplication first: 4 × 9 = 36 and 9 ÷ 3 = 3. Then 52 + 36 − 3 = 85.

  35. A bus goes from Pune to Nashik at 18 km/h and returns by the same road at 36 km/h. What is its average speed for the whole journey?
    Question 99
    Answer and working

    Answer E

    For equal distances, average speed = 2xy/(x + y) = 2 × 18 × 36 ÷ 54 = 24 km/h. The plain average, 27, ignores that the slower leg takes longer.

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

    Answer C

    The rule: the terms are 5², 6², 7² …. The missing term is 49.