Exam Date: 25/11/2015 Authority: Himachal Pradesh Revenue Department

HP Patwari Exam 2015 – Solved Paper with Detailed Explanations

Section I: English

Directions (1-3): Choose the correct article.

Q1. I heard _____ noise.

• (A) the
• (B) a
• (C) an
• (D) None of these
• Answer: (B)
• Explanation: “A noise” is the correct idiomatic usage here.

Q2. He is _____ heir to the throne.

• (A) a
• (B) the
• (C) an
• (D) None of these
• Answer: (C)
• Explanation: The word “heir” begins with a vowel sound (‘air’), so “an” is used.

Q3. This is just _____ thing I wanted.

• (A) the
• (B) a
• (C) an
• (D) None of these
• Answer: (A) $$Note: Key says B, but standard English is “the thing” if specific. However, sticking to the likely intended simple grammar, “a thing” might be accepted, but usually “just the thing” is the phrase. **Official Key: B**$$

Directions (4-8): Fill in the blanks with appropriate words.

Q4. We eat that we _____ live.

• (A) might
• (B) could
• (C) would
• (D) may
• Answer: (D)
• Explanation: “May” is used to express purpose in this clause structure.

Q5. There is _____ hope of his recovery.

• (A) little
• (B) a little
• (C) the little
• (D) None of these
• Answer: (A)
• Explanation: “Little” implies negligible or negative hope.

Q6. Hari is the _____ boy in the class.

• (A) lazy
• (B) lazier
• (C) laziest
• (D) None of these
• Answer: (C)
• Explanation: Superlative degree (“the laziest”) is used for comparison among the whole class.

Q7. A policeman rescued the child _____ danger.

• (A) from
• (B) to
• (C) into
• (D) on
• Answer: (A)
• Explanation: Rescued from.

Q8. He _____ to play cricket before his marriage.

• (A) used
• (B) is used
• (C) was used
• (D) had used
• Answer: (A)
• Explanation: “Used to” denotes a past habit.

Directions (9-10): Prepositions.

Q9. He is married _____ my cousin.

• (A) with
• (B) to
• (C) from
• (D) in
• Answer: (B)
• Explanation: The correct preposition with married is “to”.

Q10. We should rely _____ our own efforts.

• (A) on
• (B) at
• (C) with
• (D) in
• Answer: (A)
• Explanation: Rely on.

Directions (11-12): Verbs.

Q11. The earth _____ round the Sun.

• (A) move
• (B) was moving
• (C) moves
• (D) moved
• Answer: (C)
• Explanation: Universal truths take the simple present tense.

Q12. We _____ English for five years.

• (A) study
• (B) are studying
• (C) was studying
• (D) have been studying
• Answer: (D)
• Explanation: “For five years” indicates an action starting in the past and continuing, requiring Present Perfect Continuous.

Directions (13-14): Proverbs.

Q13. All that glitters _____.

• Answer: (C) is not gold

Q14. It is never too late _____.

• Answer: (B) to mend

Directions (15-17): Spelling.

Q15. Correct Spelling:

• Answer: (C) Diarrhoea

Q16. Correct Spelling:

• Answer: (D) Addiction

Q17. Correct Spelling:

• Answer: (C) Confidential

Directions (18-19): Antonyms.

Q18. Flexible

• Answer: (A) Rigid

Q19. Exit

• Answer: (C) Entrance

Directions (20-21): Synonyms.

Q20. Confess

• Answer: (A) Admit

Q21. Sufficient

• Answer: (B) Enough

Q22. She must weep. She will die. (Join sentences)

• Answer: (C) or (She must weep or she will die).

Q23. I know the man. $$He$$

Stole the bicycle.

• Answer: (B) who (I know the man who stole the bicycle).

Q24. The ups and downs

• Answer: (C) The happy and sad times

Q25. To move heaven and earth

• Answer: (C) to try everything possible

Section II: Hindi

Q26. ‘क’ वर्ण उच्चारण की दृष्टि से क्या है?

• Answer: (B) कण्ठ्य (Throat/Guttural)

Q27. हिन्दी वर्णमाला में व्यंजनों की संख्या है:

• Answer: (D) 33

Q28. ‘रात-दिन’ में कौन-सा समास है?

• Answer: (A) द्वन्द्व (Dvandva – Both terms are equal).

Q29. ‘तत्सम’ शब्द का चयन कीजिए:

• Answer: (C) विवाद (Vivada).

Q30. ‘सज्जन’ का सन्धि विच्छेद क्या है?

• Answer: (B) सत् + जन

Q31. Error Finding: राम ने अपनी (A) / गलती के लिए (B)/ क्षमा (C)/ की भीख मांगी (D).

• Answer: (D). Use of ‘भीख मांगी’ is redundant/incorrect with ‘क्षमा’. Usually just “क्षमा मांगी”.

Q33. निम्नलिखित में से कौन छायावादी कवि हैं?

• Answer: (C) सुमित्रानंदन पंत

Q34. “मरदानी” शब्द का अर्थ है:

• Answer: (B) पुरुषों जैसी (Like a man/warrior).

Q35. Correct Spelling:

• Answer: (B) उज्ज्वल

Q36. Correct Spelling:

• Answer: (D) जनतांत्रिक (Though PDF Key says D, standard spelling is जनतांत्रिक).

Q38. “काला घोड़ा” में कौन-सा विशेषण है?

• Answer: (A) गुणवाचक (Qualitative).

Q40. पाँव में शनीचर होना:

• Answer: (B) एक स्थान पर स्थिर न रहना (Unable to stay in one place).

Q41. बालू की भीत:

• Answer: (C) शीघ्र नष्ट होने वाली वस्तु (Fragile/Temporary like a wall of sand).

Q43. “भागीरथी” का पर्यायवाची:

• Answer: (B) गंगा

Q44. “ज्येष्ठ” का विलोम:

• Answer: (A) कनिष्ठ

Section III: Mathematics (Detailed Solutions)

Q51. Find the value of: $4 + 4.44 + 44.4 + 4.04 + 444 = ?$

• Answer: (A) 500.88
• Solution: Align decimals: 4.00 4.44 44.40 4.04 444.00 Total = 500.88

Q52. HCF of $\frac{5}{16}, \frac{25}{12}, \frac{15}{8}$:

• Answer: (A) $\frac{5}{48}$
• Solution:
  • Formula: $\text{HCF of Fractions} = \frac{\text{HCF of Numerators}}{\text{LCM of Denominators}}$
  • HCF of (5, 25, 15) = 5
  • LCM of (16, 12, 8) = 48
  • Result = $\frac{5}{48}$

Q53. Value of $(1^3 + 2^3 + 3^3 + 4^3)^{-3/2}$:

• Answer: (B) 0.001
• Solution:
  • Sum = $1 + 8 + 27 + 64 = 100 = 10^2$
  • Expression becomes $(10^2)^{-3/2}$
  • Power rule: $2 \times (-3/2) = -3$
  • $10^{-3} = \frac{1}{1000} = 0.001$

Q54. If $9^{3x+2} = 27^{5x+1}$, find $x$.

• Answer: (A) $\frac{1}{9}$
• Solution:
  • Base change to 3: $(3^2)^{3x+2} = (3^3)^{5x+1}$
  • Powers: $2(3x+2) = 3(5x+1)$
  • $6x + 4 = 15x + 3$
  • $4 – 3 = 15x – 6x \Rightarrow 1 = 9x \Rightarrow x = \frac{1}{9}$

Q55. $(a-b)^2$ is equal to:

• Answer: (C) $a^2 + b^2 – 2ab$

Q56. $(21.69)^2 – \sqrt{324} = ?$

• Answer: (C) 452.4561
• Solution:
  • $\sqrt{324} = 18$
  • $470.4561 – 18 = 452.4561$

Q57. If the volume and surface area of a sphere are equal, its radius is:

• Answer: (B) 3 Units
• Solution:
  • Volume = Surface Area
  • $\frac{4}{3}\pi r^3 = 4\pi r^2$
  • $\frac{r}{3} = 1 \Rightarrow r = 3$

Q58. Ratio of areas of two squares is 9:1. Ratio of perimeters?

• Answer: (B) 3:1
• Solution:
  • Area ratio $A_1/A_2 = (S_1/S_2)^2 = 9/1$
  • Side ratio $S_1/S_2 = 3/1$
  • Perimeter ratio is same as side ratio = 3:1

Q59. Sum of 3 consecutive integers is 1350. Sum of smallest and largest?

• Answer: (A) 900
• Solution:
  • $x + (x+1) + (x+2) = 1350$
  • $3x + 3 = 1350 \Rightarrow 3x = 1347 \Rightarrow x = 449$
  • Numbers: 449, 450, 451
  • Sum of smallest (449) + largest (451) = 900

Q60. $\frac{1}{4}$ of a number is 17. What is 45% of that number?

• Answer: (D) 30.6
• Solution:
  • Number $N$: $N/4 = 17 \Rightarrow N = 68$
  • $45\%$ of $68 = 68 \times 0.45 = 30.6$

Q61. Car travels 35km in 45 min and remaining 69km in 75 min. Average speed?

• Answer: (C) 52 km/hr
• Solution:
  • Total Distance = $35 + 69 = 104$ km
  • Total Time = $45 + 75 = 120$ min = 2 hours
  • Avg Speed = $104 / 2 = 52$ km/hr

Q62. Ratio of Nishi and Vinni’s age is 8:15. After 9 years, 11:18. Difference in age?

• Answer: (D) 21 years
• Solution:
  • $\frac{8x+9}{15x+9} = \frac{11}{18}$
  • $18(8x+9) = 11(15x+9)$
  • $144x + 162 = 165x + 99$
  • $21x = 63 \Rightarrow x = 3$
  • Ages: $8(3)=24$, $15(3)=45$. Difference = $45 – 24 = 21$.

Q66. Simple Interest on 2000 at 6% for 18 months:

• Answer: (B) 180
• Solution:
  • Time = 18 months = 1.5 years = 3/2 years.
  • $SI = \frac{P \times R \times T}{100} = \frac{2000 \times 6 \times 3}{100 \times 2} = 180$

Q67. Ishan spent 35,645 on bike, 24,355 on TV, remaining 20% cash. Total amount?

• Answer: (C) 75,000
• Solution:
  • Spent = $35645 + 24355 = 60000$
  • Remaining = 20%, so Spent = 80%.
  • $80\% \text{ of Total} = 60000$
  • $\text{Total} = \frac{60000}{0.8} = 75000$

Q68. Area of circle is 24.64 sq m. Circumference?

• Answer: (C) 17.60 m
• Solution:
  • $\pi r^2 = 24.64 \Rightarrow \frac{22}{7} r^2 = \frac{2464}{100}$
  • $r^2 = 7.84 \Rightarrow r = 2.8$
  • Circumference = $2\pi r = 2 \times \frac{22}{7} \times 2.8 = 17.6$

Q71. 800 becomes 920 in 3 years at SI. If rate increases by 3%, new amount?

• Answer: (B) $$Wait, calculation below$$
• Original Rate: $SI = 120$. $120 = (800 \times R \times 3)/100 \Rightarrow R = 5\%$.
• New Rate: $5 + 3 = 8\%$.
• New SI: $(800 \times 8 \times 3)/100 = 192$.
• New Amount: $800 + 192 = 992$.
• Correct Answer: (B) 992.

Q72. A does work in 10 days, B in 15 days. Together?

• Answer: (B) 6 days
• Solution:
  • $1/10 + 1/15 = (3+2)/30 = 5/30 = 1/6$.
  • Reciprocal = 6 days.

Q73. Runner: 200m in 24 sec. Speed in km/h?

• Answer: (D) 30 km/hr
• Solution:
  • Speed in m/s = $200/24$.
  • Conversion to km/h: $(200/24) \times (18/5)$.
  • $= (25/3) \times (18/5) = 5 \times 6 = 30$.

Q74. CP:SP ratio is 4:5. Profit %?

• Answer: (D) 25%
• Solution:
  • Profit = $5-4=1$.
  • Profit % = $(1/4) \times 100 = 25\%$.

Q75. Room 15×12 m. Cost of flooring at Rs 125/sq m.

• Answer: (A) 22,500
• Solution:
  • Area = $15 \times 12 = 180$.
  • Cost = $180 \times 125 = 22,500$.

Section IV: General Knowledge

Q76. When was HP established as a Chief Commissioner’s province?

• Answer: (C) 15 April 1948

Q77. Before merger on 1 July 1954, Bilaspur was:

• Answer: (C) Part ‘C’ State

Q78. Which river group originates from Himalayan ranges?

• Answer: (A) Beas, Ravi, Chenab

Q80. Revenue Training Institute is located at:

• Answer: (C) Jogindernagar

Q81. “Nwala” is a festival of:

• Answer: (B) Gaddi tribe

Q82. Where is “Pattan Valley” located?

• Answer: (C) Lahaul & Spiti

Q83. “Burah” is a famous group dance of:

• Answer: (C) Sirmour

Q84. “Khirganga” hot water spring is in:

• Answer: (D) Kullu

Q85. “Kufri Jeevan” and “Kufri Jyoti” are varieties of:

• Answer: (D) Potato

Q86. Himachali soldier who received Param Vir Chakra in Kargil (1999):

• Answer: (B) Rifleman Sanjay Kumar

Q87. Where do Chandra and Bhaga rivers meet?

• Answer: (B) Tandi

Q88. ‘Kye Monastery’ is located in:

• Answer: (B) Himachal Pradesh (Spiti)

Q89. Who was known as ‘Pahari Gandhi’?

• Answer: (C) Baba Kanshi Ram

Q91. Money Bill is introduced in:

• Answer: (A) Lok Sabha

Q92. Rural woman who led ‘Chipko Movement’:

• Answer: (C) Gaura Devi

Q93. Davis Cup is associated with:

• Answer: (D) Lawn Tennis

Q98. Which comet appears every 76 years?

• Answer: (B) Halley’s Comet

Q99. Leukemia is a disease related to:

• Answer: (D) Blood

Q100. ATM stands for:

• Answer: (C) Automated Teller Machine