TS Police SI Prelims 2022 · Question 45

Question 45 of the TSLPRB SI Preliminary Written Test 2022 (7 August 2022). Try it first, then open the answer and explanation.

1. SI Prelims 2022 · Q45 · Arithmetic · Numbers & Simplification

   Let G be the GCD of three numbers 3,780, 3,465 and 3,003 and L be the LCM of 3,465 and 3,003. Then L/(33G) =

   1. 65
   2. 780
   3. 455
   4. 429

   3,780, 3,465 మరియు 3,003 అనే మూడు సంఖ్యల గ. సా. భా. G మరియు 3,465 మరియు 3,003 యొక్క క. సా. గు. L అయితే L/(33G) =

   1. 65
   2. 780
   3. 455
   4. 429
   Show answer

   Answer: (1) 65

   సమాధానం: (1) 65

   3,780 = 2² × 3³ × 5 × 7, 3,465 = 3² × 5 × 7 × 11 and 3,003 = 3 × 7 × 11 × 13, so G = 3 × 7 = 21. L = 3² × 5 × 7 × 11 × 13 = 45,045, so L/(33G) = 45,045/693 = 65.

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