{"id":908,"date":"2025-12-08T03:59:34","date_gmt":"2025-12-08T03:59:34","guid":{"rendered":"https:\/\/vracademy.in\/?p=908"},"modified":"2025-12-08T03:59:36","modified_gmt":"2025-12-08T03:59:36","slug":"hp-patwari-exam-2015-solved-paper-with-detailed-explanations","status":"publish","type":"post","link":"https:\/\/vracademy.in\/?p=908","title":{"rendered":"HP Patwari Exam 2015 &#8211; Solved Paper with Detailed Explanations"},"content":{"rendered":"\n<p><strong>Exam Date:<\/strong> 25\/11\/2015 <strong>Authority:<\/strong> Himachal Pradesh Revenue Department<\/p>\n\n\n\n<p>HP Patwari Exam 2015 &#8211; Solved Paper with Detailed Explanations<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Section I: English<\/h2>\n\n\n\n<p><strong>Directions (1-3): Choose the correct article.<\/strong><\/p>\n\n\n\n<p><strong>Q1. I heard _____ noise.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(A) the<\/li>\n\n\n\n<li>(B) a<\/li>\n\n\n\n<li>(C) an<\/li>\n\n\n\n<li>(D) None of these<\/li>\n\n\n\n<li><strong>Answer:<\/strong> (B)<\/li>\n\n\n\n<li><strong>Explanation:<\/strong> &#8220;A noise&#8221; is the correct idiomatic usage here.<\/li>\n<\/ul>\n\n\n\n<p><strong>Q2. He is _____ heir to the throne.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(A) a<\/li>\n\n\n\n<li>(B) the<\/li>\n\n\n\n<li>(C) an<\/li>\n\n\n\n<li>(D) None of these<\/li>\n\n\n\n<li><strong>Answer:<\/strong> (C)<\/li>\n\n\n\n<li><strong>Explanation:<\/strong> The word &#8220;heir&#8221; begins with a vowel sound (&#8216;air&#8217;), so &#8220;an&#8221; is used.<\/li>\n<\/ul>\n\n\n\n<p><strong>Q3. This is just _____ thing I wanted.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(A) the<\/li>\n\n\n\n<li>(B) a<\/li>\n\n\n\n<li>(C) an<\/li>\n\n\n\n<li>(D) None of these<\/li>\n\n\n\n<li><strong>Answer:<\/strong> (A) $$Note: Key says B, but standard English is &#8220;the thing&#8221; if specific. However, sticking to the likely intended simple grammar, &#8220;a thing&#8221; might be accepted, but usually &#8220;just the thing&#8221; is the phrase. **Official Key: B**$$<\/li>\n<\/ul>\n\n\n\n<p><strong>Directions (4-8): Fill in the blanks with appropriate words.<\/strong><\/p>\n\n\n\n<p><strong>Q4. We eat that we _____ live.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(A) might<\/li>\n\n\n\n<li>(B) could<\/li>\n\n\n\n<li>(C) would<\/li>\n\n\n\n<li>(D) may<\/li>\n\n\n\n<li><strong>Answer:<\/strong> (D)<\/li>\n\n\n\n<li><strong>Explanation:<\/strong> &#8220;May&#8221; is used to express purpose in this clause structure.<\/li>\n<\/ul>\n\n\n\n<p><strong>Q5. There is _____ hope of his recovery.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(A) little<\/li>\n\n\n\n<li>(B) a little<\/li>\n\n\n\n<li>(C) the little<\/li>\n\n\n\n<li>(D) None of these<\/li>\n\n\n\n<li><strong>Answer:<\/strong> (A)<\/li>\n\n\n\n<li><strong>Explanation:<\/strong> &#8220;Little&#8221; implies negligible or negative hope.<\/li>\n<\/ul>\n\n\n\n<p><strong>Q6. Hari is the _____ boy in the class.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(A) lazy<\/li>\n\n\n\n<li>(B) lazier<\/li>\n\n\n\n<li>(C) laziest<\/li>\n\n\n\n<li>(D) None of these<\/li>\n\n\n\n<li><strong>Answer:<\/strong> (C)<\/li>\n\n\n\n<li><strong>Explanation:<\/strong> Superlative degree (&#8220;the laziest&#8221;) is used for comparison among the whole class.<\/li>\n<\/ul>\n\n\n\n<p><strong>Q7. A policeman rescued the child _____ danger.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(A) from<\/li>\n\n\n\n<li>(B) to<\/li>\n\n\n\n<li>(C) into<\/li>\n\n\n\n<li>(D) on<\/li>\n\n\n\n<li><strong>Answer:<\/strong> (A)<\/li>\n\n\n\n<li><strong>Explanation:<\/strong> Rescued <em>from<\/em>.<\/li>\n<\/ul>\n\n\n\n<p><strong>Q8. He _____ to play cricket before his marriage.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(A) used<\/li>\n\n\n\n<li>(B) is used<\/li>\n\n\n\n<li>(C) was used<\/li>\n\n\n\n<li>(D) had used<\/li>\n\n\n\n<li><strong>Answer:<\/strong> (A)<\/li>\n\n\n\n<li><strong>Explanation:<\/strong> &#8220;Used to&#8221; denotes a past habit.<\/li>\n<\/ul>\n\n\n\n<p><strong>Directions (9-10): Prepositions.<\/strong><\/p>\n\n\n\n<p><strong>Q9. He is married _____ my cousin.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(A) with<\/li>\n\n\n\n<li>(B) to<\/li>\n\n\n\n<li>(C) from<\/li>\n\n\n\n<li>(D) in<\/li>\n\n\n\n<li><strong>Answer:<\/strong> (B)<\/li>\n\n\n\n<li><strong>Explanation:<\/strong> The correct preposition with married is &#8220;to&#8221;.<\/li>\n<\/ul>\n\n\n\n<p><strong>Q10. We should rely _____ our own efforts.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(A) on<\/li>\n\n\n\n<li>(B) at<\/li>\n\n\n\n<li>(C) with<\/li>\n\n\n\n<li>(D) in<\/li>\n\n\n\n<li><strong>Answer:<\/strong> (A)<\/li>\n\n\n\n<li><strong>Explanation:<\/strong> Rely <em>on<\/em>.<\/li>\n<\/ul>\n\n\n\n<p><strong>Directions (11-12): Verbs.<\/strong><\/p>\n\n\n\n<p><strong>Q11. The earth _____ round the Sun.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(A) move<\/li>\n\n\n\n<li>(B) was moving<\/li>\n\n\n\n<li>(C) moves<\/li>\n\n\n\n<li>(D) moved<\/li>\n\n\n\n<li><strong>Answer:<\/strong> (C)<\/li>\n\n\n\n<li><strong>Explanation:<\/strong> Universal truths take the simple present tense.<\/li>\n<\/ul>\n\n\n\n<p><strong>Q12. We _____ English for five years.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(A) study<\/li>\n\n\n\n<li>(B) are studying<\/li>\n\n\n\n<li>(C) was studying<\/li>\n\n\n\n<li>(D) have been studying<\/li>\n\n\n\n<li><strong>Answer:<\/strong> (D)<\/li>\n\n\n\n<li><strong>Explanation:<\/strong> &#8220;For five years&#8221; indicates an action starting in the past and continuing, requiring Present Perfect Continuous.<\/li>\n<\/ul>\n\n\n\n<p><strong>Directions (13-14): Proverbs.<\/strong><\/p>\n\n\n\n<p><strong>Q13. All that glitters _____.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) is not gold<\/li>\n<\/ul>\n\n\n\n<p><strong>Q14. It is never too late _____.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) to mend<\/li>\n<\/ul>\n\n\n\n<p><strong>Directions (15-17): Spelling.<\/strong><\/p>\n\n\n\n<p><strong>Q15. Correct Spelling:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) Diarrhoea<\/li>\n<\/ul>\n\n\n\n<p><strong>Q16. Correct Spelling:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (D) Addiction<\/li>\n<\/ul>\n\n\n\n<p><strong>Q17. Correct Spelling:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) Confidential<\/li>\n<\/ul>\n\n\n\n<p><strong>Directions (18-19): Antonyms.<\/strong><\/p>\n\n\n\n<p><strong>Q18. Flexible<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (A) Rigid<\/li>\n<\/ul>\n\n\n\n<p><strong>Q19. Exit<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) Entrance<\/li>\n<\/ul>\n\n\n\n<p><strong>Directions (20-21): Synonyms.<\/strong><\/p>\n\n\n\n<p><strong>Q20. Confess<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (A) Admit<\/li>\n<\/ul>\n\n\n\n<p><strong>Q21. Sufficient<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) Enough<\/li>\n<\/ul>\n\n\n\n<p><strong>Q22. She must weep. She will die. (Join sentences)<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) or (She must weep or she will die).<\/li>\n<\/ul>\n\n\n\n<p>Q23. I know the man. $$He$$<\/p>\n\n\n\n<p>Stole the bicycle.<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) who (I know the man who stole the bicycle).<\/li>\n<\/ul>\n\n\n\n<p><strong>Q24. The ups and downs<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) The happy and sad times<\/li>\n<\/ul>\n\n\n\n<p><strong>Q25. To move heaven and earth<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) to try everything possible<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Section II: Hindi<\/h2>\n\n\n\n<p><strong>Q26. &#8216;\u0915&#8217; \u0935\u0930\u094d\u0923 \u0909\u091a\u094d\u091a\u093e\u0930\u0923 \u0915\u0940 \u0926\u0943\u0937\u094d\u091f\u093f \u0938\u0947 \u0915\u094d\u092f\u093e \u0939\u0948?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) \u0915\u0923\u094d\u0920\u094d\u092f (Throat\/Guttural)<\/li>\n<\/ul>\n\n\n\n<p><strong>Q27. \u0939\u093f\u0928\u094d\u0926\u0940 \u0935\u0930\u094d\u0923\u092e\u093e\u0932\u093e \u092e\u0947\u0902 \u0935\u094d\u092f\u0902\u091c\u0928\u094b\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u0939\u0948:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (D) 33<\/li>\n<\/ul>\n\n\n\n<p><strong>Q28. &#8216;\u0930\u093e\u0924-\u0926\u093f\u0928&#8217; \u092e\u0947\u0902 \u0915\u094c\u0928-\u0938\u093e \u0938\u092e\u093e\u0938 \u0939\u0948?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (A) \u0926\u094d\u0935\u0928\u094d\u0926\u094d\u0935 (Dvandva &#8211; Both terms are equal).<\/li>\n<\/ul>\n\n\n\n<p><strong>Q29. &#8216;\u0924\u0924\u094d\u0938\u092e&#8217; \u0936\u092c\u094d\u0926 \u0915\u093e \u091a\u092f\u0928 \u0915\u0940\u091c\u093f\u090f:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) \u0935\u093f\u0935\u093e\u0926 (Vivada).<\/li>\n<\/ul>\n\n\n\n<p><strong>Q30. &#8216;\u0938\u091c\u094d\u091c\u0928&#8217; \u0915\u093e \u0938\u0928\u094d\u0927\u093f \u0935\u093f\u091a\u094d\u091b\u0947\u0926 \u0915\u094d\u092f\u093e \u0939\u0948?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) \u0938\u0924\u094d + \u091c\u0928<\/li>\n<\/ul>\n\n\n\n<p><strong>Q31. Error Finding: \u0930\u093e\u092e \u0928\u0947 \u0905\u092a\u0928\u0940 (A) \/ \u0917\u0932\u0924\u0940 \u0915\u0947 \u0932\u093f\u090f (B)\/ \u0915\u094d\u0937\u092e\u093e (C)\/ \u0915\u0940 \u092d\u0940\u0916 \u092e\u093e\u0902\u0917\u0940 (D).<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (D). Use of &#8216;\u092d\u0940\u0916 \u092e\u093e\u0902\u0917\u0940&#8217; is redundant\/incorrect with &#8216;\u0915\u094d\u0937\u092e\u093e&#8217;. Usually just &#8220;\u0915\u094d\u0937\u092e\u093e \u092e\u093e\u0902\u0917\u0940&#8221;.<\/li>\n<\/ul>\n\n\n\n<p><strong>Q33. \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u092e\u0947\u0902 \u0938\u0947 \u0915\u094c\u0928 \u091b\u093e\u092f\u093e\u0935\u093e\u0926\u0940 \u0915\u0935\u093f \u0939\u0948\u0902?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) \u0938\u0941\u092e\u093f\u0924\u094d\u0930\u093e\u0928\u0902\u0926\u0928 \u092a\u0902\u0924<\/li>\n<\/ul>\n\n\n\n<p><strong>Q34. &#8220;\u092e\u0930\u0926\u093e\u0928\u0940&#8221; \u0936\u092c\u094d\u0926 \u0915\u093e \u0905\u0930\u094d\u0925 \u0939\u0948:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) \u092a\u0941\u0930\u0941\u0937\u094b\u0902 \u091c\u0948\u0938\u0940 (Like a man\/warrior).<\/li>\n<\/ul>\n\n\n\n<p><strong>Q35. Correct Spelling:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) \u0909\u091c\u094d\u091c\u094d\u0935\u0932<\/li>\n<\/ul>\n\n\n\n<p><strong>Q36. Correct Spelling:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (D) \u091c\u0928\u0924\u093e\u0902\u0924\u094d\u0930\u093f\u0915 (Though PDF Key says D, standard spelling is \u091c\u0928\u0924\u093e\u0902\u0924\u094d\u0930\u093f\u0915).<\/li>\n<\/ul>\n\n\n\n<p><strong>Q38. &#8220;\u0915\u093e\u0932\u093e \u0918\u094b\u0921\u093c\u093e&#8221; \u092e\u0947\u0902 \u0915\u094c\u0928-\u0938\u093e \u0935\u093f\u0936\u0947\u0937\u0923 \u0939\u0948?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (A) \u0917\u0941\u0923\u0935\u093e\u091a\u0915 (Qualitative).<\/li>\n<\/ul>\n\n\n\n<p><strong>Q40. \u092a\u093e\u0901\u0935 \u092e\u0947\u0902 \u0936\u0928\u0940\u091a\u0930 \u0939\u094b\u0928\u093e:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) \u090f\u0915 \u0938\u094d\u0925\u093e\u0928 \u092a\u0930 \u0938\u094d\u0925\u093f\u0930 \u0928 \u0930\u0939\u0928\u093e (Unable to stay in one place).<\/li>\n<\/ul>\n\n\n\n<p><strong>Q41. \u092c\u093e\u0932\u0942 \u0915\u0940 \u092d\u0940\u0924:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) \u0936\u0940\u0918\u094d\u0930 \u0928\u0937\u094d\u091f \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u0940 \u0935\u0938\u094d\u0924\u0941 (Fragile\/Temporary like a wall of sand).<\/li>\n<\/ul>\n\n\n\n<p><strong>Q43. &#8220;\u092d\u093e\u0917\u0940\u0930\u0925\u0940&#8221; \u0915\u093e \u092a\u0930\u094d\u092f\u093e\u092f\u0935\u093e\u091a\u0940:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) \u0917\u0902\u0917\u093e<\/li>\n<\/ul>\n\n\n\n<p><strong>Q44. &#8220;\u091c\u094d\u092f\u0947\u0937\u094d\u0920&#8221; \u0915\u093e \u0935\u093f\u0932\u094b\u092e:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (A) \u0915\u0928\u093f\u0937\u094d\u0920<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Section III: Mathematics (Detailed Solutions)<\/h2>\n\n\n\n<p><strong>Q51. Find the value of:<\/strong> $4 + 4.44 + 44.4 + 4.04 + 444 = ?$<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (A) 500.88<\/li>\n\n\n\n<li><strong>Solution:<\/strong> Align decimals: 4.00 4.44 44.40 4.04 444.00 Total = 500.88<\/li>\n<\/ul>\n\n\n\n<p><strong>Q52. HCF of<\/strong> $\\frac{5}{16}, \\frac{25}{12}, \\frac{15}{8}$<strong>:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (A) $\\frac{5}{48}$<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Formula: $\\text{HCF of Fractions} = \\frac{\\text{HCF of Numerators}}{\\text{LCM of Denominators}}$<\/li>\n\n\n\n<li>HCF of (5, 25, 15) = 5<\/li>\n\n\n\n<li>LCM of (16, 12, 8) = 48<\/li>\n\n\n\n<li>Result = $\\frac{5}{48}$<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Q53. Value of<\/strong> $(1^3 + 2^3 + 3^3 + 4^3)^{-3\/2}$<strong>:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) 0.001<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Sum = $1 + 8 + 27 + 64 = 100 = 10^2$<\/li>\n\n\n\n<li>Expression becomes $(10^2)^{-3\/2}$<\/li>\n\n\n\n<li>Power rule: $2 \\times (-3\/2) = -3$<\/li>\n\n\n\n<li>$10^{-3} = \\frac{1}{1000} = 0.001$<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Q54. If<\/strong> $9^{3x+2} = 27^{5x+1}$<strong>, find<\/strong> $x$<strong>.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (A) $\\frac{1}{9}$<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Base change to 3: $(3^2)^{3x+2} = (3^3)^{5x+1}$<\/li>\n\n\n\n<li>Powers: $2(3x+2) = 3(5x+1)$<\/li>\n\n\n\n<li>$6x + 4 = 15x + 3$<\/li>\n\n\n\n<li>$4 &#8211; 3 = 15x &#8211; 6x \\Rightarrow 1 = 9x \\Rightarrow x = \\frac{1}{9}$<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Q55.<\/strong> $(a-b)^2$ <strong>is equal to:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) $a^2 + b^2 &#8211; 2ab$<\/li>\n<\/ul>\n\n\n\n<p><strong>Q56.<\/strong> $(21.69)^2 &#8211; \\sqrt{324} = ?$<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) 452.4561<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>$\\sqrt{324} = 18$<\/li>\n\n\n\n<li>$470.4561 &#8211; 18 = 452.4561$<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Q57. If the volume and surface area of a sphere are equal, its radius is:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) 3 Units<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Volume = Surface Area<\/li>\n\n\n\n<li>$\\frac{4}{3}\\pi r^3 = 4\\pi r^2$<\/li>\n\n\n\n<li>$\\frac{r}{3} = 1 \\Rightarrow r = 3$<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Q58. Ratio of areas of two squares is 9:1. Ratio of perimeters?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) 3:1<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Area ratio $A_1\/A_2 = (S_1\/S_2)^2 = 9\/1$<\/li>\n\n\n\n<li>Side ratio $S_1\/S_2 = 3\/1$<\/li>\n\n\n\n<li>Perimeter ratio is same as side ratio = 3:1<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Q59. Sum of 3 consecutive integers is 1350. Sum of smallest and largest?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (A) 900<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>$x + (x+1) + (x+2) = 1350$<\/li>\n\n\n\n<li>$3x + 3 = 1350 \\Rightarrow 3x = 1347 \\Rightarrow x = 449$<\/li>\n\n\n\n<li>Numbers: 449, 450, 451<\/li>\n\n\n\n<li>Sum of smallest (449) + largest (451) = 900<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Q60.<\/strong> $\\frac{1}{4}$ <strong>of a number is 17. What is 45% of that number?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (D) 30.6<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Number $N$: $N\/4 = 17 \\Rightarrow N = 68$<\/li>\n\n\n\n<li>$45\\%$ of $68 = 68 \\times 0.45 = 30.6$<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Q61. Car travels 35km in 45 min and remaining 69km in 75 min. Average speed?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) 52 km\/hr<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Total Distance = $35 + 69 = 104$ km<\/li>\n\n\n\n<li>Total Time = $45 + 75 = 120$ min = 2 hours<\/li>\n\n\n\n<li>Avg Speed = $104 \/ 2 = 52$ km\/hr<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Q62. Ratio of Nishi and Vinni&#8217;s age is 8:15. After 9 years, 11:18. Difference in age?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (D) 21 years<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>$\\frac{8x+9}{15x+9} = \\frac{11}{18}$<\/li>\n\n\n\n<li>$18(8x+9) = 11(15x+9)$<\/li>\n\n\n\n<li>$144x + 162 = 165x + 99$<\/li>\n\n\n\n<li>$21x = 63 \\Rightarrow x = 3$<\/li>\n\n\n\n<li>Ages: $8(3)=24$, $15(3)=45$. Difference = $45 &#8211; 24 = 21$.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Q66. Simple Interest on 2000 at 6% for 18 months:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) 180<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Time = 18 months = 1.5 years = 3\/2 years.<\/li>\n\n\n\n<li>$SI = \\frac{P \\times R \\times T}{100} = \\frac{2000 \\times 6 \\times 3}{100 \\times 2} = 180$<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Q67. Ishan spent 35,645 on bike, 24,355 on TV, remaining 20% cash. Total amount?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) 75,000<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Spent = $35645 + 24355 = 60000$<\/li>\n\n\n\n<li>Remaining = 20%, so Spent = 80%.<\/li>\n\n\n\n<li>$80\\% \\text{ of Total} = 60000$<\/li>\n\n\n\n<li>$\\text{Total} = \\frac{60000}{0.8} = 75000$<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Q68. Area of circle is 24.64 sq m. Circumference?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) 17.60 m<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>$\\pi r^2 = 24.64 \\Rightarrow \\frac{22}{7} r^2 = \\frac{2464}{100}$<\/li>\n\n\n\n<li>$r^2 = 7.84 \\Rightarrow r = 2.8$<\/li>\n\n\n\n<li>Circumference = $2\\pi r = 2 \\times \\frac{22}{7} \\times 2.8 = 17.6$<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Q71. 800 becomes 920 in 3 years at SI. If rate increases by 3%, new amount?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) $$Wait, calculation below$$<\/li>\n\n\n\n<li><strong>Original Rate:<\/strong> $SI = 120$. $120 = (800 \\times R \\times 3)\/100 \\Rightarrow R = 5\\%$.<\/li>\n\n\n\n<li><strong>New Rate:<\/strong> $5 + 3 = 8\\%$.<\/li>\n\n\n\n<li><strong>New SI:<\/strong> $(800 \\times 8 \\times 3)\/100 = 192$.<\/li>\n\n\n\n<li><strong>New Amount:<\/strong> $800 + 192 = 992$.<\/li>\n\n\n\n<li><strong>Correct Answer:<\/strong> (B) 992.<\/li>\n<\/ul>\n\n\n\n<p><strong>Q72. A does work in 10 days, B in 15 days. Together?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) 6 days<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>$1\/10 + 1\/15 = (3+2)\/30 = 5\/30 = 1\/6$.<\/li>\n\n\n\n<li>Reciprocal = 6 days.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Q73. Runner: 200m in 24 sec. Speed in km\/h?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (D) 30 km\/hr<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Speed in m\/s = $200\/24$.<\/li>\n\n\n\n<li>Conversion to km\/h: $(200\/24) \\times (18\/5)$.<\/li>\n\n\n\n<li>$= (25\/3) \\times (18\/5) = 5 \\times 6 = 30$.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Q74. CP:SP ratio is 4:5. Profit %?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (D) 25%<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Profit = $5-4=1$.<\/li>\n\n\n\n<li>Profit % = $(1\/4) \\times 100 = 25\\%$.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>Q75. Room 15&#215;12 m. Cost of flooring at Rs 125\/sq m.<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (A) 22,500<\/li>\n\n\n\n<li><strong>Solution:<\/strong>\n<ul class=\"wp-block-list\">\n<li>Area = $15 \\times 12 = 180$.<\/li>\n\n\n\n<li>Cost = $180 \\times 125 = 22,500$.<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">Section IV: General Knowledge<\/h2>\n\n\n\n<p><strong>Q76. When was HP established as a Chief Commissioner&#8217;s province?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) 15 April 1948<\/li>\n<\/ul>\n\n\n\n<p><strong>Q77. Before merger on 1 July 1954, Bilaspur was:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) Part &#8216;C&#8217; State<\/li>\n<\/ul>\n\n\n\n<p><strong>Q78. Which river group originates from Himalayan ranges?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (A) Beas, Ravi, Chenab<\/li>\n<\/ul>\n\n\n\n<p><strong>Q80. Revenue Training Institute is located at:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) Jogindernagar<\/li>\n<\/ul>\n\n\n\n<p><strong>Q81. &#8220;Nwala&#8221; is a festival of:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) Gaddi tribe<\/li>\n<\/ul>\n\n\n\n<p><strong>Q82. Where is &#8220;Pattan Valley&#8221; located?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) Lahaul &amp; Spiti<\/li>\n<\/ul>\n\n\n\n<p><strong>Q83. &#8220;Burah&#8221; is a famous group dance of:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) Sirmour<\/li>\n<\/ul>\n\n\n\n<p><strong>Q84. &#8220;Khirganga&#8221; hot water spring is in:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (D) Kullu<\/li>\n<\/ul>\n\n\n\n<p><strong>Q85. &#8220;Kufri Jeevan&#8221; and &#8220;Kufri Jyoti&#8221; are varieties of:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (D) Potato<\/li>\n<\/ul>\n\n\n\n<p><strong>Q86. Himachali soldier who received Param Vir Chakra in Kargil (1999):<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) Rifleman Sanjay Kumar<\/li>\n<\/ul>\n\n\n\n<p><strong>Q87. Where do Chandra and Bhaga rivers meet?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) Tandi<\/li>\n<\/ul>\n\n\n\n<p><strong>Q88. &#8216;Kye Monastery&#8217; is located in:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) Himachal Pradesh (Spiti)<\/li>\n<\/ul>\n\n\n\n<p><strong>Q89. Who was known as &#8216;Pahari Gandhi&#8217;?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) Baba Kanshi Ram<\/li>\n<\/ul>\n\n\n\n<p><strong>Q91. Money Bill is introduced in:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (A) Lok Sabha<\/li>\n<\/ul>\n\n\n\n<p><strong>Q92. Rural woman who led &#8216;Chipko Movement&#8217;:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) Gaura Devi<\/li>\n<\/ul>\n\n\n\n<p><strong>Q93. Davis Cup is associated with:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (D) Lawn Tennis<\/li>\n<\/ul>\n\n\n\n<p><strong>Q98. Which comet appears every 76 years?<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (B) Halley&#8217;s Comet<\/li>\n<\/ul>\n\n\n\n<p><strong>Q99. Leukemia is a disease related to:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (D) Blood<\/li>\n<\/ul>\n\n\n\n<p><strong>Q100. ATM stands for:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Answer:<\/strong> (C) Automated Teller Machine<\/li>\n<\/ul>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Exam Date: 25\/11\/2015 Authority: Himachal Pradesh Revenue Department HP Patwari Exam 2015 &#8211; Solved Paper with Detailed Explanations Section I: English Directions (1-3): Choose the&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-908","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/vracademy.in\/index.php?rest_route=\/wp\/v2\/posts\/908","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vracademy.in\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/vracademy.in\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/vracademy.in\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/vracademy.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=908"}],"version-history":[{"count":1,"href":"https:\/\/vracademy.in\/index.php?rest_route=\/wp\/v2\/posts\/908\/revisions"}],"predecessor-version":[{"id":909,"href":"https:\/\/vracademy.in\/index.php?rest_route=\/wp\/v2\/posts\/908\/revisions\/909"}],"wp:attachment":[{"href":"https:\/\/vracademy.in\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=908"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vracademy.in\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=908"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vracademy.in\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=908"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}