Model Paper 2

Chapter 3 · Full Model Papers · 100 questions in the paper · 12 min read

Model Paper 2

What the syllabus asks for 1
  • 100 questions, Q1-40 English, Q41-90 Mathematics, Q91-100 GK and IT

Full marks: 100. Time: 2 hours. Choose the best answer. One mark each; no negative marking is reported, so answer every question. How to score yourself: marks = number right. This paper tests different questions, numbers and facts from Model Paper 1.

This paper's question counts
Group Part Questions
A English (1–40) vocabulary 6, idioms and prepositions 6, articles/tenses/agreement 7, voice/narration/tags 5, clauses/conditionals 6, pronouns/modals 5, reading 5 40
B Mathematics (41–90) arithmetic 10, algebra 10, trigonometry 4, coordinate geometry 7, vectors 2, calculus 7, reasoning 10 50
C GK and IT (91–100) Nepal 3, world 2, computer 3, Internet/programming 2 10

Group A — English (questions 1–40)

  1. The synonym of "scarce" isararebabundantcheavydloud
  2. The antonym of "fertile" isarichbgreencproductivedbarren
  3. One word for "a person who lives alone, away from society":apedestrianbnovicechermitdtourist
  4. The synonym of "brief" isalongbshortcheavydclear
  5. One word for "a place where coins are made":abankbmintcvaultdmarket
  6. The antonym of "hostile" isaangrybcruelcdistantdfriendly
  7. "To bite the bullet" meansato face a difficult situation bravelybto eat quicklycto shootdto run away
  8. She is afraid ___ spiders.afrombatcofdwith
  9. "To call off" a meeting means toavisit itbshout at itccancel itdattend it
  10. He is good ___ chess.aatbincondfor
  11. "To throw in the towel" meansato washbto give upcto cleandto win
  12. The thief ran ___ with the money.aupbincondaway
  13. ___ unicorn is an imaginary animal.aAnbThecNo articledA
  14. She ___ to school every day.agobgoescis goingdwent
  15. The sum of the angles of a triangle ___ 180°.aarebwerecisdhave
  16. I ___ lunch when she called.awas havingbhadchavedam having
  17. Either you or he ___ responsible.aisbarecweredhave
  18. By 2030 she ___ her studies.acompletesbcompletedcwill have completeddhas completed
  19. He has been working here ___ 2018.aforbfromcatdsince
  20. The passive of "She sings a song" isaA song sang by her.bA song is sung by her.cA song was sung by her.dA song has been sung by her.
  21. "She said, 'I have finished.'" becomes: She said that sheahave finished.bfinishes.chad finished.dwas finished.
  22. He can drive, ___?adoes hebcan't hecisn't hedwon't he
  23. "He said, 'I will go.'" becomes: He said that he ___ go.awouldbwillcshalldcan
  24. The passive of "They have built a house" isaA house built by them.bA house is built by them.cA house was built by them.dA house has been built by them.
  25. This is the boy ___ I told you about.awhosebwhichcwheredwhom
  26. If she had worked harder, she ___ the exam.awill passbwould passcwould have passeddpassed
  27. She avoided ___ to him.ato speakbspeakingcspeakdspoke
  28. I will have the car ___.awashedbwashcwashingdto wash
  29. If you heat ice, it ___.ameltsbmeltedcwould meltdhad melted
  30. The teacher let us ___ early.ato gobgocgoingdwent
  31. There is ___ milk left; we must buy more.aa littlebfewclittleda few
  32. He is superior ___ his rivals.athanbfromcoverdto
  33. No sooner had she left ___ it began to rain.athanbwhencthendas
  34. You ___ have called me; I was waiting for you.amustbshouldcwilldcan
  35. Choose the correct sentence.aShe don't like tea.bShe doesn't likes tea.cShe doesn't like tea.dShe not like tea.

Read the passage and answer questions 36–40.

A mountain river in the hills of Nepal turns pale in the dry season because it carries fine silt from the rocks above.

Villages along its banks use the water for irrigation and for small mills called ghattas, which grind grain without electricity. Because the river is steep, floods can arrive quickly after heavy rain in the hills.

Local people therefore watch the sky and the water level, and they pass warnings by phone from one village to the next.

  1. The passage is mainly aboutahow to build a millbhow villagers use and watch a steep mountain rivercwhy rivers are whitedthe use of telephones
  2. Why does the river turn pale in the dry season?ait freezesbheavy rain fallscsunlight bleaches itdit carries fine silt
  3. What are ghattas?asmall mills that grind grain without electricitybbridgescboatsddams
  4. The word "steep" meansawidebslowcsharply slopingdshallow
  5. How do villagers pass on flood warnings?aby drumsbby radiocby letterdby phone, from village to village

Group B — Mathematics (questions 41–90)

  1. 35 % of 80 isa25b30c32d28
  2. The HCF of 24 and 36 isa6b12c18d72
  3. An article costing Rs 500 is sold at a 12 % loss. The selling price isaRs 560bRs 450cRs 440dRs 380
  4. The compound interest on Rs 5,000 at 10 % per annum for 2 years isaRs 1,050bRs 1,000cRs 1,100dRs 500
  5. A can do a job in 15 days and B in 10 days. Together they finish it ina6 daysb12 daysc5 daysd25 days
  6. A car moves at 54 km/h. In 20 seconds it coversa150 mb270 mc108 md300 m
  7. The average of 12, 15, 18, 21, 24 isa16b17c18d20
  8. Rs 900 is divided in the ratio 2:3:4. The smallest share isaRs 100bRs 200cRs 300dRs 400
  9. The total surface area of a cube of side 6 cm isa36 cm²b216 cm²c144 cm²d72 cm²
  10. A square has area 144 cm². Its perimeter isa12 cmb24 cmc48 cmd144 cm
  11. The number of subsets of a set with 4 elements isa16b8c4d15
  12. If f(x)=3x-2, then f(5) isa17b15c10d13
  13. The sum of the roots of 2x^2-10x+3=0 isa-5b5c\frac{3}{2}d10
  14. The value of \log_327 isa9b2c3d27
  15. The 10th term of the AP 5, 9, 13, … isa45b39c37d41
  16. The sum of the first six terms of the GP 2, 4, 8, … isa126b128c64d62
  17. The determinant of [[5, 2], [3, 1]] isa1b11c-1d0
  18. The value of {}^5P_2 isa10b20c25d120
  19. The median of 2, 4, 6, 8, 10, 12 isa6b8c5d7
  20. Two dice are thrown. The probability that the sum is 8 isa\frac{5}{36}b\frac{1}{6}c\frac{1}{9}d\frac{7}{36}
  21. The value of \cos60^\circ+\sin30^\circ isa\frac{1}{2}b1c\frac{3}{2}d\sqrt{3}
  22. The value of \sec60^\circ isa\frac{1}{2}b\sqrt{2}c2d\frac{2}{\sqrt{3}}
  23. If \sin\theta=\frac{3}{5} and \theta is acute, then \sin2\theta isa\frac{24}{25}b\frac{12}{25}c\frac{7}{25}d\frac{6}{5}
  24. A 6 m ladder makes 30° with the ground. The height it reaches isa6 mb3\sqrt{3} mc6\sqrt{3} md3 m
  25. The slope of the line through (2,1) and (6,9) isa2b\frac{1}{2}c8d4
  26. The midpoint of (0,0) and (8,6) isa(8,6)b(4,3)c(3,4)d(2,1.5)
  27. The line with slope 3 through (0,-2) isay=3x+2by=-3x-2cy=2x-3dy=3x-2
  28. The distance of (3,4) from the line 3x+4y+5=0 isa5b30c6d1
  29. The centre of the circle x^2+y^2-6x+4y-3=0 isa(-3,2)b(3,-2)c(6,-4)d(-6,4)
  30. The length of the latus rectum of y^2=20x isa5b10c20d40
  31. The eccentricity of \frac{x^2}{25}-\frac{y^2}{144}=1 isa\frac{5}{13}b\frac{12}{5}c\frac{13}{12}d\frac{13}{5}
  32. For \mathbf{a}=\mathbf{i}+2\mathbf{j}+\mathbf{k} and \mathbf{b}=2\mathbf{i}-\mathbf{j}+3\mathbf{k}, \mathbf{a}\cdot\mathbf{b} isa3b5c0d7
  33. The magnitude of 2\mathbf{i}+3\mathbf{j}+6\mathbf{k} isa11b49c7d5
  34. \lim_{x\to0}\frac{\sin4x}{x} equalsa1b0c4d\frac{1}{4}
  35. \frac{d}{dx}(3x^2-5x+1) equalsa6xb6x-5c3x-5d6x+5
  36. \frac{d}{dx}(\sin2x) equalsa\cos2xb-2\cos2xc2\sin2xd2\cos2x
  37. The maximum value of 4x-x^2 isa4b2c0d8
  38. \int(6x^2+2)\,dx equalsa12x+Cb6x^3+2x+Cc2x^3+2x+Cdx^3+2x+C
  39. \int_1^32x\,dx equalsa6b8c4d10
  40. The area under y=3x^2 from x=0 to x=2 isa6b12c4d8
  41. The next number in 2, 3, 5, 8, 12 isa17b16c18d15
  42. The next number in 1, 3, 6, 10, 15 isa18b20c24d21
  43. If CODE is written DPEF, then FACE is writtenaGBDGbGBDFcEZBDdFBDF
  44. A person facing south turns left. He now facesawestbnorthceastdsouth
  45. In a class of 30, Hari ranks 11th from the top. His rank from the bottom isa18thb19thc20thd21st
  46. The angle between the hands of a clock at 5:00 isa150°b120°c180°d90°
  47. A man walks 8 km east and then 6 km north. His distance from the start isa14 kmb2 kmc48 kmd10 km
  48. 1 January 2026 was a Thursday. 15 August 2026 fell on aaFridaybSaturdaycSundaydThursday
  49. The number of squares of all sizes in a 3 × 3 grid isa14b9c13d10
  50. My mother's brother's daughter is myasisterbniececauntdcousin

Group C — General Knowledge and IT (questions 91–100)

  1. The capital of Madhesh Province isaBiratnagarbJanakpurcHetaudadSurkhet
  2. The author of the novel Shirishko Phool isaLaxmi Prasad DevkotabLil Bahadur ChhetricParijatdGopal Prasad Rimal
  3. The FIFA World Cup 2026 was won byaSpainbFrancecArgentinadBrazil
  4. The capital of Canada isaTorontobMontrealcVancouverdOttawa
  5. Which of these is an output device?amousebscannercplotterdkeyboard
  6. RAM isanon-volatilebvolatilecpermanentdread-only
  7. The decimal value of (1010)_2 isa5b8c12d10
  8. The HTML tag for a hyperlink isa<a>b<p>c<br>d<img>
  9. HTML stands foraHyper Text Making LanguagebHigh Text Markup LanguagecHyperText Markup LanguagedHyperlink Text Mode Language
  10. Java was created byaDennis RitchiebJames GoslingcGuido van RossumdLinus Torvalds

Answer key and explanations

Answers — Group A English (1–40)

1. (a) — scarce means rare, in short supply.

2. (d) — barren land produces nothing.

3. (c) — a hermit.

4. (b) — brief means short.

5. (b) — a mint.

6. (d) — hostile is unfriendly.

7. (a) — to face something unpleasant bravely.

8. (c) — afraid of.

9. (c) — call off means cancel.

10. (a) — good at.

11. (b) — to give up.

12. (d) — ran away.

13. (d) — "unicorn" begins with a "y" sound.

14. (b) — a habit: simple present, third person.

15. (c) — "the sum" is singular.

16. (a) — an action in progress when she called.

17. (a) — the nearer subject "he" is singular.

18. (c) — future perfect.

19. (d) — since + a starting year.

20. (b) — simple present passive.

21. (c) — present perfect shifts to past perfect.

22. (b) — repeat the modal with n't.

23. (a) — will becomes would.

24. (d) — present perfect passive.

25. (d) — whom, the object of "told".

26. (c) — third conditional.

27. (b) — avoid + -ing.

28. (a) — have something done.

29. (a) — zero conditional.

30. (b) — let + bare verb.

31. (c) — "little" means almost none, hence "we must buy more".

32. (d) — superior to.

33. (a) — no sooner … than.

34. (b) — "should have called" criticises a past omission.

35. (c) — doesn't + base verb.

36. (b) — use and watching of a steep river.

37. (d) — "carries fine silt from the rocks above".

38. (a) — "small mills … grind grain without electricity".

39. (c) — steep means sharply sloping.

40. (d) — "by phone from one village to the next".

Answers — Group B Mathematics (41–90)

41. (d) — 0.35 × 80 = 28.

42. (b) — 24 = 2³·3, 36 = 2²·3², so HCF = 12.

43. (c) — 500 × 0.88 = 440.

44. (a) — 5000 × 0.21 = 1,050.

45. (a) — 15 × 10 / 25 = 6.

46. (d) — 54 km/h = 15 m/s; 15 × 20 = 300 m.

47. (c) — the middle value of the AP is 18.

48. (b) — 900/9 = 100 per part; 2 × 100 = 200.

49. (b) — 6 × 36 = 216.

50. (c) — side 12, perimeter 48.

51. (a) — 2⁴ = 16.

52. (d) — 15 − 2 = 13.

53. (b) — −b/a = 10/2 = 5.

54. (c) — 3³ = 27.

55. (d) — 5 + 9 × 4 = 41.

56. (a) — 2(2⁶ − 1) = 126.

57. (c) — 5·1 − 2·3 = −1.

58. (b) — 5 × 4 = 20.

59. (d) — mean of 6 and 8 is 7.

60. (a) — (2,6), (3,5), (4,4), (5,3), (6,2): 5/36.

61. (b) — ½ + ½ = 1.

62. (c) — 1/cos 60° = 2.

63. (a) — 2 × (3/5)(4/5) = 24/25.

64. (d) — 6 sin 30° = 3.

65. (a) — \dfrac{9 - 1}{6 - 2} = 2.

66. (b) — (4, 3).

67. (d) — y = mx + c with c = −2.

68. (c) — |9 + 16 + 5|/5 = 6.

69. (b) — g = −3, f = 2, centre (3, −2).

70. (c) — 4a = 20.

71. (d) — √(1 + 144/25) = 13/5.

72. (a) — 2 − 2 + 3 = 3.

73. (c) — √(4 + 9 + 36) = 7.

74. (c) — sin 4x / x → 4.

75. (b) — 6x − 5.

76. (d) — chain rule gives 2 cos 2x.

77. (a) — 4 − (x − 2)², maximum 4.

78. (c) — 2x³ + 2x + C.

79. (b) — 9 − 1.

80. (d) — [x³] from 0 to 2 = 8.

81. (a) — differences 1, 2, 3, 4, then 5: 12 + 5 = 17.

82. (d) — triangular numbers: 15 + 6 = 21.

83. (b) — each letter moves +1.

84. (c) — a left turn from south faces east.

85. (c) — 30 − 11 + 1.

86. (a) — 5 × 30°.

87. (d) — 6-8-10 triangle.

88. (b) — 15 August is day 227; 226 mod 7 = 2, so Thursday + 2 = Saturday.

89. (a) — 9 + 4 + 1.

90. (d) — a mother's brother's child is a cousin.

Answers — Group C General Knowledge and IT (91–100)

91. (b) — Janakpur.

92. (c) — Parijat.

93. (a) — Spain beat Argentina 1–0 after extra time, 19 July 2026.

94. (d) — Ottawa.

95. (c) — a plotter draws output.

96. (b) — volatile.

97. (d) — 8 + 2 = 10.

98. (a) — the anchor tag.

99. (c) — HyperText Markup Language.

100. (b) — James Gosling.

Score sheet and error analysis

Use the figures and steps below after you finish the paper. Mark your sheet with the answer key, enter the group scores, then work through the error log.

diagram
Figure 3.1. Answer-key balance of Model Paper 2. Each bar counts how many correct answers are a, b, c or d in a group. The cell reads the 100-letter key and checks the group sizes (40, 50, 10) and the totals a=24, b=25, c=26, d=25; the longest run of one repeated letter is 2. A balanced key means a pattern guess cannot replace knowledge, so answer each question on its merits.

diagram
Figure 3.2. Score sheet for Model Paper 2. Each group has its question count, time budget (English 30 min, Mathematics 70, GK and IT 5, checking 15) and seconds per question, which the cell computes. The right-hand boxes are blank for your own score. The illustrative targets (English 32, Mathematics 35, GK and IT 8, total 75) are study goals chosen by NEBians, not a TU pass mark or cut-off.

  1. Score each group separately and compare with the target boxes in Fig 3.2. A low group tells you which units to revisit first.
  2. Write an error log line for every miss: question number, the cause (formula, arithmetic slip, grammar rule, never learnt) and the unit that fixes it.
  3. Redo each missed question after two days, without looking at the explanation. A question you can now solve is fixed; one you cannot goes back into the log.
  4. Check your time: if Mathematics took more than 70 minutes, practise skipping and returning (Fig 3.2).
  5. Do not read patterns into the key (Fig 3.1). The letters are spread across a, b, c and d.