Model Paper 1

Chapter 2 · Full Model Papers · 100 questions in the paper · 12 min read

Model Paper 1

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. Each question carries one mark and no negative marking is reported, so answer every question. How to score yourself: marks = number right.

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 "ample" isainsufficientbplentifulctinydhidden
  2. The antonym of "rigid" isaflexiblebstrictcstiffdhard
  3. One word for "a person who speaks many languages":abilingualbinterpretercpolyglotdorator
  4. The synonym of "tranquil" isanoisybangrycbusydcalm
  5. One word for "a speech delivered without preparation":aextemporebmonologuecsermonddialogue
  6. The antonym of "arrogant" isaproudbvainchumbledbold
  7. "To pull someone's leg" meansato injure himbto tease him playfullycto help himdto make him fall
  8. He insisted ___ seeing the manager.aatbforctodon
  9. "To give in" meansato surrenderbto donatecto enterdto win
  10. She is allergic ___ dust.awithbfromctodof
  11. "A storm in a teacup" meansaa big problembmuch fuss about a trivial mattercbad weatherda tea party
  12. We must look ___ the matter carefully.aafterboffcatdinto
  13. He is ___ one-eyed man.aAnbThecAdNo article
  14. She ___ the piano for ten years.aplayedbhas playedcis playingdplays
  15. Ten kilometres ___ a long distance.aisbarecweredhave
  16. When I reached the station, the train ___.aleftbhas leftcleavesdhad left
  17. Neither the teacher nor the students ___ present.awasbwerecisdhas
  18. I ___ him since 2019.aknewbknowchave knowndam knowing
  19. Each of the players ___ a medal.ahas receivedbhave receivedcwere givendare receiving
  20. The passive of "The cat chased the mouse" isaThe mouse is chased by the cat.bThe mouse was chased by the cat.cThe mouse has been chased by the cat.dThe cat was chased by the mouse.
  21. "He said, 'I am tired.'" becomes: He said that he ___ tired.aisbwerecwasdhas been
  22. They have never been abroad, ___?ahaven't theybhave theycdo theydare they
  23. "She asked, 'Where is the station?'" becomes: She asked ___ the station was.awherebthat wherecwhetherdwhat
  24. The passive of "Someone is repairing the road" isaThe road is repaired.bThe road was being repaired.cThe road is being repaired.dThe road has been repaired.
  25. I met the woman ___ daughter won the prize.awhobwhomcwhosedwhich
  26. If I were rich, I ___ travel the world.awouldbwillchaddshall
  27. He suggested ___ early.ato leavebleavecleftdleaving
  28. I had my watch ___.arepairbrepairingcrepaireddto repair
  29. Unless it rains, the match ___ be played.awon'tbwillcwoulddwouldn't
  30. She made him ___ the room.ato cleanbcleaningccleaneddclean
  31. He has ___ friends in the city, so he feels lonely.aa fewblittlecfewda little
  32. She is senior ___ me.athanbtocfromdover
  33. Hardly had he sat down ___ the bell rang.awhenbthancthendas
  34. You ___ cross the road when the light is red.aneedn'tbdon't have tocmustn'tdmay
  35. Choose the correct sentence.aHe gave me many advices.bHe gave me some advice.cHe gave me advices.dHe gave me an advice.

Read the passage and answer questions 36–40.

Kathmandu's old bazaars have sold spices, cloth and brass for centuries, and many shopkeepers are the fourth or fifth generation of their families to sit behind the same counter.

Today they compete with online stores, yet the bazaars survive because customers trust a seller they know. A trader who remembers what you bought last Dashain, and gives honest advice, offers something a website cannot easily copy.

Some shops now take digital payments while keeping the old way of talking over tea.

  1. The passage is mainly aboutahow online shopping has ended the bazaarsbwhy old bazaars survive through trust and personal servicechow many shops Kathmandu hasdthe price of spices
  2. Many shopkeepers areanewcomersbforeignerscfourth or fifth generationdstudents
  3. What can a trader offer that a website cannot easily copy?apersonal memory and honest adviceblower pricescfaster deliverydbigger shops
  4. The word "compete" meansacooperatebcopycretiredtry to win against
  5. Which item is NOT mentioned in the passage?agoldbclothcspicesdbrass

Group B — Mathematics (questions 41–90)

  1. 15 % of 240 isa32b36c40d24
  2. The LCM of 8 and 12 isa4b48c24d96
  3. An article costs Rs 640 and is sold at a 25 % profit. The selling price isaRs 800bRs 760cRs 840dRs 780
  4. The simple interest on Rs 4,000 at 5 % per annum for 3 years isaRs 500bRs 650cRs 700dRs 600
  5. 8 men finish a work in 12 days. 6 men will finish it ina16 daysb18 daysc9 daysd14 days
  6. A train 100 m long running at 72 km/h passes a pole ina7.2 sb10 sc5 sd2 s
  7. The average of five numbers is 18. When a sixth number 24 is added, the average isa20b19c21d18
  8. Two numbers are in the ratio 3:5 and their sum is 64. The larger isa24b32c45d40
  9. The area of a circle of radius 14 cm (π = 22/7) isa616 cm²b308 cm²c88 cm²d154 cm²
  10. The volume of a cuboid 5 cm × 4 cm × 3 cm isa12 cm³b47 cm³c60 cm³d94 cm³
  11. If n(A)=12, n(B)=8 and n(A\cap B)=3, then n(A\cup B) isa20b17c23d11
  12. The number of subsets of a set with 5 elements isa25b10c16d32
  13. The product of the roots of x^2-7x+12=0 isa12b7c-12d-7
  14. The value of \log_2 32 isa4b6c5d16
  15. The 5th term of the AP 4, 7, 10, … isa19b16c13d22
  16. The sum 1+3+9+27 isa40b36c81d39
  17. The determinant of [[3, 4], [1, 2]] isa10b-2c6d2
  18. The value of {}^6C_2 isa12b30c15d36
  19. The domain of f(x)=\sqrt{4-x} isax\ge4bx\le4cx<4dall real numbers
  20. The probability of drawing an ace from a pack of 52 cards isa\frac{1}{52}b\frac{1}{4}c\frac{4}{13}d\frac{1}{13}
  21. The value of \sin45^\circ\cos45^\circ isa1b\frac{1}{2}c\sqrt{2}d\frac{1}{4}
  22. If \tan\theta=\frac{3}{4} and \theta is acute, then \sin\theta isa\frac{3}{5}b\frac{4}{5}c\frac{5}{3}d\frac{3}{4}
  23. If \sin\theta=\frac{1}{2}, then \cos2\theta isa0b1c\frac{1}{2}d\frac{\sqrt{3}}{2}
  24. A 10 m pole casts a 10 m shadow. The angle of elevation of the sun isa30°b60°c90°d45°
  25. The distance between (-1,2) and (2,6) isa5b7c3d25
  26. The slope of the line 3x+6y=5 isa\frac{1}{2}b-2c-\frac{1}{2}d2
  27. The midpoint of (-2,4) and (6,0) isa(4,4)b(2,2)c(2,4)d(4,2)
  28. The distance of the origin from 5x+12y-26=0 isa13b26c1d2
  29. The radius of the circle x^2+y^2-2x-4y-4=0 isa9b3c4d5
  30. The focus of the parabola y^2=8x isa(2,0)b(8,0)c(4,0)d(0,2)
  31. The eccentricity of \frac{x^2}{16}+\frac{y^2}{9}=1 isa\frac{3}{4}b\frac{7}{16}c\frac{\sqrt{7}}{4}d\frac{4}{3}
  32. For \mathbf{a}=2\mathbf{i}+3\mathbf{j} and \mathbf{b}=4\mathbf{i}-\mathbf{j}, \mathbf{a}\cdot\mathbf{b} isa11b5c8d-5
  33. The magnitude of 3\mathbf{i}-4\mathbf{j} isa7b1c5d25
  34. \lim_{x\to3}\frac{x^2-9}{x-3} equalsa0b3c9d6
  35. \frac{d}{dx}(x^4-2x) equalsa4x^3-2bx^3-2c4x^3d4x-2
  36. \frac{d}{dx}(\ln x+x^2) equalsa\frac{1}{x}+xbx+2c\frac{1}{x}+2xd\ln x+2x
  37. The minimum value of x^2-2x+3 isa2b3c1d0
  38. \int4x^3\,dx equalsa12x^2+Cbx^4+Cc4x^4+Cdx^3+C
  39. \int_0^2(x+1)\,dx equalsa3b6c4d2
  40. \int_0^\pi\cos x\,dx equalsa1b2c-1d0
  41. The next number in 4, 9, 16, 25 isa30b36c49d35
  42. The next number in 3, 5, 9, 17 isa31b29c33d25
  43. If A=1, B=2, …, the sum of the letters of BAD isa7b6c8d9
  44. A person facing east turns right. He now facesanorthbwestceastdsouth
  45. A student is 9th from the top and 18th from the bottom. The class hasa27 studentsb25 studentsc26 studentsd28 students
  46. The angle between the hands of a clock at 6:00 isa90°b180°c120°d150°
  47. A man walks 9 km north and then 12 km east. His distance from the start isa21 kmb3 kmc108 kmd15 km
  48. 1 January 2024 was a Monday. 1 January 2025 was aaTuesdaybWednesdaycThursdaydMonday
  49. The number of squares of all sizes in a 2 × 2 grid isa4b6c5d8
  50. My father's only sister's husband is myacousinbnephewcbrother-in-lawduncle

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

  1. Pokhara is the capital ofaBagmati ProvincebKoshi ProvincecGandaki ProvincedLumbini Province
  2. The Mahakavi of Nepali literature isaLaxmi Prasad DevkotabBhanubhakta AcharyacLekhnath PaudyaldParijat
  3. The FIFA World Cup 2022 was won byaFrancebBrazilcCroatiadArgentina
  4. The headquarters of the United Nations is inaGenevabNew YorkcParisdLondon
  5. Which of these is an input device?aspeakerbprintercmonitordmicrophone
  6. One byte consists of how many bits?a4b16c8d2
  7. The decimal number 6 in binary isa110b101c111d011
  8. The HTML tag for a paragraph isa<br>b<p>c<a>d<h1>
  9. HTTP stands foraHyperText Transmission ProcessbHigh Transfer Text ProtocolcHyperText Transfer ProtocoldHyper Terminal Transfer Program
  10. Python was created byaDennis RitchiebJames GoslingcLinus TorvaldsdGuido van Rossum

Answer key and explanations

Answers — Group A English (1–40)

1. (b) — ample means plentiful.

2. (a) — rigid is stiff; flexible is the opposite.

3. (c) — polyglot; bilingual is two languages.

4. (d) — tranquil means calm.

5. (a) — extempore.

6. (c) — arrogant is proud; humble is the opposite.

7. (b) — to joke with someone.

8. (d) — insist on.

9. (a) — give in means surrender.

10. (c) — allergic to.

11. (b) — a fuss over something trivial.

12. (d) — look into means investigate.

13. (c) — "one-eyed" begins with a "w" sound, so a.

14. (b) — "for ten years": present perfect.

15. (a) — a distance treated as one unit takes a singular verb.

16. (d) — the train left before I reached: past perfect.

17. (b) — the nearer subject, students, is plural.

18. (c) — "since 2019": present perfect.

19. (a) — "each" takes a singular verb.

20. (b) — simple past passive.

21. (c) — am becomes was.

22. (b) — "never" is negative, so a positive tag.

23. (a) — wh-question in statement order.

24. (c) — present continuous passive.

25. (c) — possession: whose.

26. (a) — second conditional: would.

27. (d) — suggest + -ing.

28. (c) — have something done.

29. (a) — "unless" already negates; the main clause is "won't".

30. (d) — make + bare verb.

31. (c) — "few" suggests loneliness, a negative sense.

32. (b) — senior to.

33. (a) — hardly … when.

34. (c) — prohibition.

35. (b) — advice is uncountable.

36. (b) — the trust-based survival of the bazaars.

37. (c) — "fourth or fifth generation".

38. (a) — "remembers what you bought … honest advice".

39. (d) — compete means try to win against.

40. (a) — gold is not mentioned.

Answers — Group B Mathematics (41–90)

41. (b) — 0.15 × 240 = 36.

42. (c) — 8 = 2³, 12 = 2²·3, so LCM = 24.

43. (a) — 640 × 1.25 = 800.

44. (d) — 4000 × 5 × 3 / 100 = 600.

45. (a) — man-days 96; 96/6 = 16.

46. (c) — 72 km/h = 20 m/s; 100/20 = 5 s.

47. (b) — (90 + 24)/6 = 19.

48. (d) — 64/8 = 8 per part, 5 × 8 = 40.

49. (a) — (22/7) × 196 = 616.

50. (c) — 5 × 4 × 3 = 60.

51. (b) — 12 + 8 − 3 = 17.

52. (d) — 2⁵ = 32.

53. (a) — c/a = 12.

54. (c) — 2⁵ = 32.

55. (b) — 4 + 4 × 3 = 16.

56. (a) — (3⁴ − 1)/2 = 40.

57. (d) — 3·2 − 4·1 = 2.

58. (c) — 6 × 5 / 2 = 15.

59. (b) — 4 − x ≥ 0.

60. (d) — 4/52 = 1/13.

61. (b) — (1/√2)(1/√2) = 1/2.

62. (a) — 3-4-5 triangle.

63. (c) — 1 − 2(1/4) = 1/2.

64. (d) — tan θ = 1.

65. (a) — √(9 + 16) = 5.

66. (c) — y = −x/2 + 5/6.

67. (b) — (4/2, 4/2).

68. (d) — 26/√(25 + 144) = 26/13 = 2.

69. (b) — g = −1, f = −2: √(1 + 4 + 4) = 3.

70. (a) — 4a = 8, a = 2.

71. (c) — √(1 − 9/16) = √7/4.

72. (b) — 8 − 3 = 5.

73. (c) — √(9 + 16) = 5.

74. (d) — x + 3 → 6.

75. (a) — power rule.

76. (c) — 1/x + 2x.

77. (a) — (x − 1)² + 2.

78. (b) — x⁴ + C.

79. (c) — [x²/2 + x] from 0 to 2 = 4.

80. (d) — sin π − sin 0 = 0.

81. (b) — squares: 6² = 36.

82. (c) — differences 2, 4, 8, then 16: 17 + 16 = 33.

83. (a) — 2 + 1 + 4.

84. (d) — a right turn from east faces south.

85. (c) — 9 + 18 − 1.

86. (b) — hands opposite.

87. (d) — 9-12-15 triangle.

88. (b) — 2024 is a leap year: 2 odd days, Monday + 2.

89. (c) — 4 + 1 = 5.

90. (d) — a father's sister's husband is an uncle.

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

91. (c) — Gandaki Province.

92. (a) — Laxmi Prasad Devkota.

93. (d) — Argentina beat France on penalties.

94. (b) — New York.

95. (d) — a microphone feeds sound in.

96. (c) — 8 bits.

97. (a) — 4 + 2 = 110.

98. (b) — <p>.

99. (c) — HyperText Transfer Protocol.

100. (d) — Guido van Rossum.

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 2.1. Answer-key balance of Model Paper 1. 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=29, d=22; 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 2.2. Score sheet for Model Paper 1. 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 2.2. 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 2.2).
  5. Do not read patterns into the key (Fig 2.1). The letters are spread across a, b, c and d.