GATE CE 2017 Set 1 | GATE CE Year Wise Previous Years Questions

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GATE CE 2017 Set 1

MCQ (Single Correct Answer)

-0.3

The number of parameters in the univariate exponential and Gaussian distributions, respectively, are

$$2$$ and $$2$$

$$1$$ and $$2$$

$$2$$ and $$1$$

$$1$$ and $$1$$

GATE CE 2017 Set 1

MCQ (Single Correct Answer)

-0.6

For the function $$\,f\left( x \right) = a + bx,0 \le x \le 1,\,\,$$ to be a valid probability density function, which one of the following statements is correct?

$$a = 1,\,b = 4$$

$$\,a = 0.5,\,b = 1$$

$$a=0,$$ $$b=1$$

$$a=1,$$ $$b=-1$$

GATE CE 2017 Set 1

MCQ (Single Correct Answer)

-0.3

The solution of the equation $$\,{{dQ} \over {dt}} + Q = 1$$ with $$Q=0$$ at $$t=0$$ is

$$Q\left( t \right) = {e^{ - t}} - 1$$

$$\,Q\left( t \right) = 1 + {e^{ - t}}$$

$$Q\left( t \right) = 1 - {e^t}$$

$$Q\left( t \right) = 1 - {e^{ - t}}$$

GATE CE 2017 Set 1

MCQ (Single Correct Answer)

-0.3

Consider the following second $$-$$order differential equation : $$\,y''\,\, - 4y' + 3y = 2t - 3{t^2}\,\,\,$$
The particular solution of the differential equation is

$$ - 2 - 2t - {t^2}$$

$$ - 2t - {t^2}$$

$$2t - 3{t^2}$$

$$ - 2 - 2t - 3{t^2}$$

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GATE CE Papers

2018