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GATE 2018 CE (CE1) – Question 7

General Aptitude · Quantitative Aptitude: Arithmetic and Number Computation · 2 marks · Multiple choice

A superalloy wire’s price is proportional to the square of its length. A 10 m wire costs ₹1600. What is the combined price of separate wires 4 m and 6 m long?

  1. ₹768
  2. ₹832
  3. ₹1440
  4. ₹1600

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Show answer and explanation

Correct answer: (B) ₹832

Explanation

Price is $kL^2$, with $k=1600/10^2=16$. Separate 4 m and 6 m wires cost $16(4^2+6^2)=832$ rupees (B).