TS Police Constable Mains 2023 · Question 29

Question 29 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 · Q29 · Arithmetic · Ratio, Average & Ages

   If a : b = 3 : 4, b : c = 4 : 5, a + 2b = 55 and 3b − c = 35 then 3a + 2b − c =

   1. 60
   2. 45
   3. 50
   4. 75

   ఒకవేళ a : b = 3 : 4, b : c = 4 : 5, a + 2b = 55 మరియు 3b − c = 35 అయితే 3a + 2b − c =

   1. 60
   2. 45
   3. 50
   4. 75
   Show answer

   Answer: (1) 60

   సమాధానం: (1) 60

   Since b is 4 in both ratios, a : b : c = 3 : 4 : 5; let a = 3k, b = 4k, c = 5k. Then a + 2b = 11k = 55 gives k = 5, so a = 15, b = 20, c = 25 (check: 3b − c = 60 − 25 = 35), and 3a + 2b − c = 45 + 40 − 25 = 60.

   రెండు నిష్పత్తులలోనూ b విలువ 4 కాబట్టి a : b : c = 3 : 4 : 5; a = 3k, b = 4k, c = 5k అనుకుందాం. అప్పుడు a + 2b = 11k = 55 నుండి k = 5, కాబట్టి a = 15, b = 20, c = 25 (సరిచూడటం: 3b − c = 60 − 25 = 35), మరియు 3a + 2b − c = 45 + 40 − 25 = 60.

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