GATE CE 2018 Set 1 — Question 7
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General Aptitude → Quantitative Aptitude → Ratios, Percentages, Powers, Exponents & Logarithms
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Question
The price of a wire made of a superalloy material is proportional to the square of its length. The price of 10 m length of the wire is Rs. 1600. What would be the total price (in Rs.) of two wires of lengths 4 m and 6m?
Correct answer
(B) 832
Solution
Let the price of the wire be and its length be . According to the problem, , which means for some constant .Given that for m, Rs.:
Now, we need to find the total price of two wires of lengths 4 m and 6 m:
Price of 4 m wire () = Rs.
Price of 6 m wire () = Rs.Total price = Rs.Therefore, the correct option is (B).
Now, we need to find the total price of two wires of lengths 4 m and 6 m:
Price of 4 m wire () = Rs.
Price of 6 m wire () = Rs.Total price = Rs.Therefore, the correct option is (B).
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