SBI Clerk PrelimsPaper 2, booklet 6723797

Test booklet
प्रश्न पुस्तिका
Booklet No.
6723797
Series
A

SBI Clerk Prelims Paper 2

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

    Answer C

    The opposite of darken is Lighten.

    Source: WordNet 3.1

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

    Answer E

    accidintal is wrong; it is spelt accidental. The others are correct.

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

    Answer B

    The correct spelling is subcommittee.

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

    Answer B

    Habitual (adjective) and Customary share their main meaning. None of the other options does.

    Source: WordNet 3.1

  5. Select the word opposite in meaning to the given word.
    Uptown
    Question 5
    Answer and working

    Answer D

    The opposite of uptown is Downtown.

    Source: WordNet 3.1

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

    Answer A

    The opposite of rural is Urban.

    Source: WordNet 3.1

  7. Select the one word that can replace the given group of words.
    Someone who practices self denial as a spiritual discipline
    Question 7
    Answer and working

    Answer C

    Ascetic: someone who practices self denial as a spiritual discipline.

    Source: WordNet 3.1

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

    Answer B

    Wont (noun) and Habit share their main meaning. None of the other options does.

    Source: WordNet 3.1

  9. Select the word opposite in meaning to the given word.
    Upstream
    Question 9
    Answer and working

    Answer C

    The opposite of upstream is Downstream.

    Source: WordNet 3.1

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

    Answer A

    Upkeep (noun) and Maintenance share their main meaning. None of the other options does.

    Source: WordNet 3.1

  11. Select the word closest in meaning to the given word.
    Steadfast
    Question 11
    Answer and working

    Answer C

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

    Source: WordNet 3.1

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

    Answer B

    Nefarious (adjective) and Villainous 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 B

    collission is wrong; it is spelt collision. The others are correct.

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

    Answer A

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

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

    Answer C

    Reverence (noun) and Veneration 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.
    Helplessness
    Question 16
    Answer and working

    Answer B

    Helplessness (noun) and Weakness share their main meaning. None of the other options does.

    Source: WordNet 3.1

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

    Answer B

    The correct spelling is accurately.

  18. Select the one word that can replace the given group of words.
    Someone who lends money or gives credit in business matters
    Question 18
    Answer and working

    Answer A

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

    Source: WordNet 3.1

  19. Select the one word that can replace the given group of words.
    A defensive football player who takes a position close behind the linemen
    Question 19
    Answer and working

    Answer A

    Linebacker: a defensive football player who takes a position close behind the linemen.

    Source: WordNet 3.1

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

    Answer D

    The correct spelling is inconceivable.

  21. Select the one word that can replace the given group of words.
    Someone who habitually doubts accepted beliefs
    Question 21
    Answer and working

    Answer E

    Skeptic: someone who habitually doubts accepted beliefs.

    Source: WordNet 3.1

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

    Answer E

    The opposite of punitive is Rehabilitative.

    Source: WordNet 3.1

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

    Answer A

    Bestow (verb) and Confer 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 D

    The correct spelling is charitable.

  25. Select the one word that can replace the given group of words.
    An assistant subject to the authority or control of another
    Question 25
    Answer and working

    Answer E

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

    Source: WordNet 3.1

  26. Select the one word that can replace the given group of words.
    An attendant who loads guns for someone shooting game
    Question 26
    Answer and working

    Answer B

    Loader: an attendant who loads guns for someone shooting game.

    Source: WordNet 3.1

  27. Select the correctly spelt word.
    Question 27
    Answer and working

    Answer A

    The correct spelling is governance.

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

    Answer B

    appliccation is wrong; it is spelt application. The others are correct.

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

    Answer C

    The opposite of establish is Abolish. Found is the trap: it means the same, not the opposite.

    Source: WordNet 3.1

  30. Select the word closest in meaning to the given word.
    Impudence
    Question 30
    Answer and working

    Answer D

    Impudence (noun) and Cheek share their main meaning. None of the other options does.

    Source: WordNet 3.1

Part BNumerical Ability

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

  1. What is the simple interest on ₹34,500 at 4% per annum for 6 years?
    Question 31
    Answer and working

    Answer C

    SI = P × R × T / 100 = 34,500 × 4 × 6 / 100 = ₹8,280.

  2. Directions for questions 32 to 36

    Study the table and answer the questions that follow.

    Students enrolled in five coaching centres, in two successive years
    CentreYear 1Year 2
    Centre A380342
    Centre B500700
    Centre C540621
    Centre D400520
    Centre E320368
  3. What is the total for Centre C over the two years?
    Question 32
    Answer and working

    Answer C

    540 + 621 = 1,161.

  4. What is the ratio of Centre D’s Year 1 figure to Centre B’s Year 2 figure?
    Question 33
    Answer and working

    Answer A

    400 : 700 = 4 : 7.

  5. What is the average Year 2 figure of the five?
    Question 34
    Answer and working

    Answer B

    Sum of Year 2 = 2,551. ÷ 5 = 510.2.

  6. Centre D’s Year 2 figure is what percent of Centre B’s Year 2 figure?
    Question 35
    Answer and working

    Answer A

    520 ÷ 700 × 100 = 74.29%.

  7. Which one grew the most in percentage terms from Year 1 to Year 2?
    Question 36
    Answer and working

    Answer D

    Growth: Centre A −10%, Centre B 40%, Centre C 15%, Centre D 30%, Centre E 15%. The highest is Centre B.

  8. An article bought for ₹1,500 is sold at a profit of 5%. What is its selling price?
    Question 37
    Answer and working

    Answer E

    SP = CP × (100 + profit%)/100 = 1,500 × 105/100 = ₹1,575.

  9. Find the wrong number in the series: 15, 18, 22, 27, 35, 40, 48
    Question 38
    Answer and working

    Answer D

    The rule: the differences grow by 1: 3, 4, 5, 6, 7, 8. The term in place of 35 should be 33, so the wrong number is 35.

  10. ₹40,000 amounts to ₹57,600 in 2 years at compound interest, compounded annually. What is the rate of interest?
    Question 39
    Answer and working

    Answer A

    (1 + R/100)² = 57,600/40,000 = 1.44, so 1 + R/100 = 1.2 and R = 20%. Dividing the interest equally between the years (simple interest) gives a wrong answer.

  11. Solve both equations and compare x and y.
    I. x² − 2x − 35 = 0
    II. y² + 4y − 5 = 0
    Question 40
    Answer and working

    Answer E

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

  12. Solve both equations and compare x and y.
    I. x² + 7x + 10 = 0
    II. y² + 3y − 18 = 0
    Question 41
    Answer and working

    Answer E

    I gives x = −5 or −2. 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.

  13. The average weight of 7 people goes up by 1.5 kg when a new person takes the place of one who weighs 71 kg. What does the new person weigh?
    Question 42
    Answer and working

    Answer D

    The total rises by 7 × 1.5 = 10.5 kg, so the new person weighs 71 + 10.5 = 81.5 kg.

  14. Solve both equations and compare x and y.
    I. x² + 13x + 40 = 0
    II. y² − 5y − 24 = 0
    Question 43
    Answer and working

    Answer C

    I gives x = −8 or −5. II gives y = −3 or 8. Every x is smaller than every y: x < y.

  15. What is the value of 64² − 35²?
    Question 44
    Answer and working

    Answer A

    a² − b² = (a + b)(a − b) = 99 × 29 = 2,871.

  16. A boat covers 72 km downstream in 3 hours and 80 km upstream in 5 hours. What is the speed of the boat in still water?
    Question 45
    Answer and working

    Answer B

    Downstream speed = 72 ÷ 3 = 24 km/h; upstream = 80 ÷ 5 = 16 km/h. Boat = (24 + 16) ÷ 2 = 20 km/h.

  17. A shopkeeper marks an article 20% above its cost price and allows a discount of 25%. If the article was sold for ₹540, what was its cost price?
    Question 46
    Answer and working

    Answer E

    SP = CP × 1.2 × 0.75 = CP × 0.9. So CP = 540 ÷ 0.9 = ₹600.

  18. Which number replaces the question mark? 2, 64, 9, 62, 16, 60, 23, ?
    Question 47
    Answer and working

    Answer C

    The rule: two series alternate: 2, 9, 16 … rising by 7, and 64, 62, 60 … falling by 2. The missing term is 58.

  19. A train 290 m long crosses a platform 560 m long in 34 seconds. What is the speed of the train?
    Question 48
    Answer and working

    Answer B

    It must cover its own length and the platform: 290 + 560 = 850 m in 34 s, so 25 m/s = 25 × 18/5 = 90 km/h.

  20. Which number replaces the question mark? 2, 3, 8, 27, 112, ?
    Question 49
    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 565.

  21. Simplify: 97 + 9 × 2 − 40 ÷ 5
    Question 50
    Answer and working

    Answer D

    Division and multiplication first: 9 × 2 = 18 and 40 ÷ 5 = 8. Then 97 + 18 − 8 = 107.

  22. What is the value of 55² − 34²?
    Question 51
    Answer and working

    Answer D

    a² − b² = (a + b)(a − b) = 89 × 21 = 1,869.

  23. A is three times as efficient as B. Together they finish a job in 15 days. How long would A take alone?
    Question 52
    Answer and working

    Answer B

    If B does 1 unit a day, A does 3; together 4 units a day for 15 days = 60 units. A alone: 60 ÷ 3 = 20 days.

  24. A bag holds 6 red, 6 blue and 1 green balls. Two balls are drawn at random without replacement. What is the probability that both are red?
    Question 53
    Answer and working

    Answer D

    Ways to pick 2 red: 15. Ways to pick any 2: 78. Probability = 5⁄26.

  25. 2,040 is what percent of 2,400?
    Question 54
    Answer and working

    Answer D

    2,040 ÷ 2,400 × 100 = 85%.

  26. Solve both equations and compare x and y.
    I. x² − 11x + 18 = 0
    II. y² − 4y − 32 = 0
    Question 55
    Answer and working

    Answer E

    I gives x = 2 or 9. II gives y = −4 or 8. Some x are bigger and some smaller than some y, so no single relation holds: x = y or no relation can be established.

  27. 55 litres of a mixture contains milk and water in the ratio 2 : 3. How much water must be added to make the ratio 1 : 5?
    Question 56
    Answer and working

    Answer D

    Milk = 22 l, water = 33 l. For 1 : 5, water must be 22 × 5/1 = 110 l. Add 110 − 33 = 77 litres.

  28. Two trains 240 m and 200 m long run on parallel tracks in opposite directions at 88 km/h and 56 km/h. How long do they take to cross each other?
    Question 57
    Answer and working

    Answer A

    Relative speed = 88 + 56 = 144 km/h = 40 m/s. Distance = 240 + 200 = 440 m. Time = 440 ÷ 40 = 11 seconds.

  29. Which number replaces the question mark? 27, 64, 125, 216, 343, ?
    Question 58
    Answer and working

    Answer C

    The rule: the terms are 3³, 4³, 5³ …. The missing term is 512.

  30. The present ages of Asha and her father are in the ratio 1 : 7. After 8 years, the ratio will be 1 : 4. What is Asha’s present age?
    Question 59
    Answer and working

    Answer E

    Ages 1x and 7x. (1x + 8) : (7x + 8) = 1 : 4 gives x = 8. Asha is 1 × 8 = 8 years.

  31. What is √784 + √324 − √144?
    Question 60
    Answer and working

    Answer D

    28 + 18 − 12 = 34.

  32. Find the wrong number in the series: 6, 11, 20, 31, 50, 71, 96
    Question 61
    Answer and working

    Answer C

    The rule: the differences grow by 4: 5, 9, 13, 17, 21, 25. The term in place of 31 should be 33, so the wrong number is 31.

  33. What is 37.5% of 1,520?
    Question 62
    Answer and working

    Answer E

    37.5% of 1,520 = 1,520 × 37.5/100 = 570.

  34. Solve both equations and compare x and y.
    I. x² − 3x − 10 = 0
    II. y² − 17y + 66 = 0
    Question 63
    Answer and working

    Answer C

    I gives x = −2 or 5. II gives y = 6 or 11. Every x is smaller than every y: x < y.

  35. What is √225 + √841 − √529?
    Question 64
    Answer and working

    Answer A

    15 + 29 − 23 = 21.

  36. What is the mean proportional between 20 and 45?
    Question 65
    Answer and working

    Answer A

    Mean proportional = √(20 × 45) = √900 = 30.

Part CReasoning Ability

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

  1. Statement: T < W ≥ N > A = G
    Conclusions: I. W < G   II. G ≤ N
    Question 66
    Answer and working

    Answer B

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

  2. Statements:
    (1) No doors are rivers.
    (2) No birds are doors.

    Conclusions:
    (I) No rivers are doors.
    (II) Some birds are rivers.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 67
    Answer and working

    Answer A

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

  3. In a certain code, TABLE is written as GZYOV. How is RIBBON written in that code?
    Question 68
    Answer and working

    Answer D

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

  4. Statements:
    (1) No books are buses.
    (2) No bells are buses.

    Conclusions:
    (I) No bells are books.
    (II) No buses are bells.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 69
    Answer and working

    Answer B

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

  5. Statement: J ≥ U < B < R < M
    Conclusions: I. U ≤ M   II. M = B
    Question 70
    Answer and working

    Answer A

    U and M: the chain gives U < M, so U ≤ M is definitely true. M and B: the chain gives M > B, so M = B is not definitely true. So: Only conclusion I follows.

  6. In a row of 33 students, Anjali is 28th from the left. What is Anjali’s position from the right?
    Question 71
    Answer and working

    Answer B

    Position from the right = total − position from the left + 1 = 33 − 28 + 1 = 6th.

  7. Directions for questions 72 to 76

    Six friends, Arun, Bina, Chetan, Divya, Esha and Farhan, sit in a row facing north. Farhan sits somewhere to the right of Bina. Exactly one person sits between Esha and Divya. Chetan sits somewhere to the right of Arun. Exactly 2 people sit between Divya and Bina. Farhan sits immediately to the left of Esha.
  8. How many people sit between Farhan and Esha?
    Question 72
    Answer and working

    Answer C

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

  9. Who sits at the extreme right end?
    Question 73
    Answer and working

    Answer C

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

  10. What is Bina’s position from the left end?
    Question 74
    Answer and working

    Answer E

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

  11. Which pair sits at the two ends of the row?
    Question 75
    Answer and working

    Answer E

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

  12. Who sits at the extreme left end?
    Question 76
    Answer and working

    Answer B

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

  13. Which number replaces the question mark? 3, 9, 27, 81, ?, 729
    Question 77
    Answer and working

    Answer B

    The rule: each term is the previous × 3. The missing term is 243.

  14. Statement: K ≥ X = U < M < N
    Conclusions: I. X < M   II. K ≤ M
    Question 78
    Answer and working

    Answer A

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

  15. 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 79
    Answer and working

    Answer B

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

  16. Statement: E ≥ V > B < J < D
    Conclusions: I. V ≤ D   II. B ≤ D
    Question 80
    Answer and working

    Answer B

    V and D: the signs between them point both ways, so no relation can be fixed, so V ≤ D is not definitely true. B and D: the chain gives B < D, so B ≤ D is definitely true. So: Only conclusion II follows.

  17. Statements:
    (1) All bells are lamps.
    (2) Some tables are not bells.

    Conclusions:
    (I) All lamps are tables.
    (II) All bells are tables.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 81
    Answer and working

    Answer D

    Conclusion I need not hold: some lamps may lie outside tables. Conclusion II need not hold: some bells may lie outside tables. So: Neither conclusion follows.

  18. Statement: F ≤ Y ≤ J ≤ Q < R
    Conclusions: I. Q ≥ Y   II. Q = F
    Question 82
    Answer and working

    Answer A

    Q and Y: the chain gives Q ≥ Y, so Q ≥ Y is definitely true. Q and F: the chain gives Q ≥ F, so Q = F is not definitely true. So: Only conclusion I follows.

  19. Statement: V ≥ D ≥ C > L ≤ M
    Conclusions: I. V = C   II. V > C
    Question 83
    Answer and working

    Answer C

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

  20. Lata walks 13 km towards the north. She turns left and walks 4 km. She turns left and walks 3 km. She turns right and walks 8 km. She turns left and walks 5 km. How far is she from the starting point in a straight line?
    Question 84
    Answer and working

    Answer A

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

  21. In a certain code, GRAPE is written as GRCTI. How is RAIN written in that code?
    Question 85
    Answer and working

    Answer E

    From GRAPE → GRCTI: the word is written backwards and each letter moves 2 forward. Applied to RAIN: PKCT.

  22. If ‘+’ means ‘−’, ‘−’ means ‘×’, ‘×’ means ‘÷’, ‘÷’ means ‘+’, what is the value of 59 + 6 × 3 ÷ 5 − 2?
    Question 86
    Answer and working

    Answer E

    Replace the signs: 59 − 6 ÷ 3 + 5 × 2. Division and multiplication first, then addition and subtraction: 67.

  23. Imran walks 5 km towards the south. He turns right and walks 10 km. He turns right and walks 5 km. How far, and in which direction, is he from the starting point?
    Question 87
    Answer and working

    Answer C

    Taking east and north as positive: he ends 10 km west and 0 km north of the start. Distance = √(10² + 0²) = 10 km. 10 km, west.

  24. In a certain code, SUGAR is written as VXJDU. How is RIBBON written in that code?
    Question 88
    Answer and working

    Answer E

    From SUGAR → VXJDU: each letter moves 3 places forward. Applied to RIBBON: ULEERQ.

  25. Statements:
    (1) All boxes are fans.
    (2) All watches are fans.

    Conclusions:
    (I) Some fans are boxes.
    (II) Some boxes are fans.

    Take the statements to be true, however odd they sound. Which conclusion follows?
    Question 89
    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.

  26. In a certain code, PAPER is written as KZKVI. How is TRAIN written in that code?
    Question 90
    Answer and working

    Answer D

    From PAPER → KZKVI: each letter is replaced by its opposite in the alphabet (A ↔ Z, B ↔ Y …). Applied to TRAIN: GIZRM.

  27. Which number replaces the question mark? 5, 12, 26, 54, ?, 222
    Question 91
    Answer and working

    Answer E

    The rule: each term is the previous × 2 + 2. The missing term is 110.

  28. J is the wife of W. S is the mother of J. How is S related to W?
    Question 92
    Answer and working

    Answer E

    Follow the links out from W: J is W’s wife; S is J’s mother. So S is W’s mother-in-law.

  29. In a row of 45 students, Meena is 7th from the left. What is Meena’s position from the right?
    Question 93
    Answer and working

    Answer C

    Position from the right = total − position from the left + 1 = 45 − 7 + 1 = 39th.

  30. If ‘+’ means ‘÷’, ‘−’ means ‘×’, ‘×’ means ‘−’, ‘÷’ means ‘+’, what is the value of 38 × 11 ÷ 9 − 16 + 12?
    Question 94
    Answer and working

    Answer A

    Replace the signs: 38 − 11 + 9 × 16 ÷ 12. Division and multiplication first, then addition and subtraction: 39.

  31. Statements:
    (1) Some trees are stones.
    (2) All trees are planes.
    (3) Some fans are planes.

    Conclusions:
    (I) All fans are stones.
    (II) Some planes are trees.

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

    Answer B

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

  32. In the English alphabet, which letter is 4th to the right of the 8th letter from the left?
    Question 96
    Answer and working

    Answer C

    The 8th letter from the left is H (position 8). 4 places to the right: position 12, which is L.

  33. In the English alphabet, which letter is 5th to the left of the 20th letter from the right?
    Question 97
    Answer and working

    Answer D

    The 20th letter from the right is G (position 7). 5 places to the left: position 2, which is B.

  34. Sana walks 12 km towards the east. She turns right and walks 4 km. She turns right and walks 12 km. How far, and in which direction, is she from the starting point?
    Question 98
    Answer and working

    Answer B

    Taking east and north as positive: she ends 0 km east and 4 km south of the start. Distance = √(0² + 4²) = 4 km. 4 km, south.

  35. B is the brother of Q. Q is the wife of V. Z is the daughter of B. How is Z related to V?
    Question 99
    Answer and working

    Answer A

    Follow the links out from V: Q is V’s wife; B is Q’s brother; Z is B’s daughter. So Z is V’s niece.

  36. Which one does not belong with the others?
    Question 100
    Answer and working

    Answer C

    73, 59, 89, 37 are prime; 91 = 7 × 13. The odd one is 91.