Civil Engineering
GATE CE area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 111–120 of 174. Imported answers require independent review unless marked reviewed.
Question 1
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The ordinary differential equation
isYour answerChoose one option.
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The value of
isYour answerChoose one option.
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The value of
isYour answerChoose one option.
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The true value of
is 0.69. If the value of
is obtained by linear interpolation between
and
, the percentage of absolute error (round off to the nearest integer), isYour answerChoose one option.
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The integral
is estimated numerically using three alternative methods namely the rectangular, trapezoidal and Simpson’s rules with a common step size. In this context, which one of the following statements is TRUE?Your answerChoose one option.
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The area of an ellipse represented by an equation
isYour answerChoose one option.
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The following partial differential equation is defined for
The set of auxiliary conditions necessary to solve the equation uniquely, is
Your answerChoose one option.
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A fair (unbiased) coin is tossed 15 times. The probability of getting exactly 8 Heads (round off to three decimal places), is __________.
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For the Ordinary Differential Equation
, with initial conditions
and
, the solution isYour answerChoose one option.
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An ordinary differential equation is given below
The general solution of the above equation (with constants
and
), isYour answerChoose one option.
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