TS Police Constable Mains 2023 · Question 42

Question 42 of the TSLPRB Police Constable Final Written Examination 2023 (General Studies) (30 April 2023). Try it first, then open the answer and explanation.

1. PC Mains 2023 · Q42 · Arithmetic · Numbers & Simplification

   If the HCF of 546, 1155, 462 and 1365 is H and LCM of 252, 504, 108 is L then L/H =

   1. 144
   2. 180
   3. 72
   4. 360

   H అనేది 546, 1155, 462 మరియు 1365 ల యొక్క గ.సా.భా మరియు L అనేది 252, 504, 108 ల యొక్క క.సా. గు అయితే L/H =

   1. 144
   2. 180
   3. 72
   4. 360
   Show answer

   Answer: (3) 72

   సమాధానం: (3) 72

   546 = 2 × 3 × 7 × 13, 1155 = 3 × 5 × 7 × 11, 462 = 2 × 3 × 7 × 11 and 1365 = 3 × 5 × 7 × 13, so H = 3 × 7 = 21. 252 = 2² × 3² × 7, 504 = 2³ × 3² × 7 and 108 = 2² × 3³, so L = 2³ × 3³ × 7 = 1512, and L/H = 1512/21 = 72.

   546 = 2 × 3 × 7 × 13, 1155 = 3 × 5 × 7 × 11, 462 = 2 × 3 × 7 × 11 మరియు 1365 = 3 × 5 × 7 × 13, కాబట్టి H = 3 × 7 = 21. 252 = 2² × 3² × 7, 504 = 2³ × 3² × 7 మరియు 108 = 2² × 3³, కాబట్టి L = 2³ × 3³ × 7 = 1512, మరియు L/H = 1512/21 = 72.

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