TS Police SI Mains 2023 Paper 3 · Question 3

Question 3 of the TSLPRB SI Final Written Examination 2023, Paper III (Arithmetic & Reasoning) (8 April 2023). Try it first, then open the answer and explanation.

1. SI Mains 2023 Paper III · Q3 · Arithmetic · Numbers & Simplification

   LCM of 2 1/2, 4 1/4, 5 1/8 is a/b and GCD of a, b is 1 then ab =

   1. 3485
   2. 6970
   3. 9670
   4. 7690

   2 1/2, 4 1/4, 5 1/8 ల క.సా.గు. a/b మరియు a, b ల గ.సా.భా. 1 అయిన ab =

   1. 3485
   2. 6970
   3. 9670
   4. 7690
   Show answer

   Answer: (2) 6970

   సమాధానం: (2) 6970

   LCM of fractions = LCM of numerators / HCF of denominators. For 5/2, 17/4, 41/8 this is LCM(5, 17, 41)/HCF(2, 4, 8) = 3485/2, so a = 3485, b = 2 and ab = 6970.

   భిన్నాల క.సా.గు. = లవాల క.సా.గు. / హారాల గ.సా.భా. 5/2, 17/4, 41/8 లకు ఇది LCM(5, 17, 41)/HCF(2, 4, 8) = 3485/2, కాబట్టి a = 3485, b = 2 మరియు ab = 6970.

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