GATE CS 2015 Set 3 — Question 5
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General Aptitude → Analytical Aptitude → Numerical Relations & Reasoning
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Question
A function is linear and has a value of 29 at and 39 at . Find its value at .
Correct answer
(C) 43
Solution
A linear function can be represented in the form , where is the slope and is the y-intercept.Given two points:
Substitute the value of into Equation 1:
So, the linear function is .Now, find the value of the function at :
The correct option is (C).
1.When , . So, (Equation 1)
2.When , . So, (Equation 2)
Subtract Equation 1 from Equation 2:Substitute the value of into Equation 1:
So, the linear function is .Now, find the value of the function at :
The correct option is (C).
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