TS Police Constable Prelims 2022 · Question 48

Question 48 of the TSLPRB Police Constable Preliminary Written Test 2022 (28 August 2022). Try it first, then open the answer and explanation.

1. PC Prelims 2022 · Q48 · Arithmetic · Numbers & Simplification

   If (256)^2.5 × (16)^4.5 ÷ (64)^1.6 = 4^K, then 5K + 4 =

   1. 70
   2. 65
   3. 75
   4. 100

   ఒక వేళ (256)^2.5 × (16)^4.5 ÷ (64)^1.6 = 4^K అయితే, 5K + 4 =

   1. 70
   2. 65
   3. 75
   4. 100
   Show answer

   Answer: (3) 75

   సమాధానం: (3) 75

   Write each base as a power of 4: 256^2.5 = 4^10, 16^4.5 = 4^9 and 64^1.6 = 4^4.8. So K = 10 + 9 − 4.8 = 14.2 and 5K + 4 = 71 + 4 = 75.

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