GATE CE 2016 Set 1 | GATE CE Year Wise Previous Years Questions

GATE CE 2016 Set 1

MCQ (Single Correct Answer)

-0.6

The solution of the partial differential equation $${{\partial u} \over {\partial t}} = \alpha {{{\partial ^2}u} \over {\partial {x^2}}}$$ is of the form

$$C\cos \left( {kt} \right)\left[ {{C_1}{e^{\left( {\sqrt {k/\alpha } } \right)x}} + {C_2}{e^{ - \left( {\sqrt {k/\alpha } } \right)x}}} \right]$$

$$C\,{e^{kt}}\left[ {{C_1}{e^{\left( {\sqrt {k/\alpha } } \right)x}} + {C_2}{e^{ - \left( {\sqrt {k/\alpha } } \right)x}}} \right]$$

$$C{e^{kt}}\left[ {{C_1}\,\cos \left( {\sqrt {k/\alpha } } \right)x + {C_2}\,\sin \left( { - \sqrt {k/\alpha } } \right)x} \right]$$

$$C\sin \left( {kt} \right)\left[ {{C_1}\,\cos \left( {\sqrt {k/\alpha } } \right)x + {C_2}\,\sin \left( { - \sqrt {k/\alpha } } \right)x} \right]$$

GATE CE 2016 Set 1

MCQ (Single Correct Answer)

-0.3

Type $${\rm I}{\rm I}$$ error in hypothesis testing is

acceptance of the null hypothesis when it is false and should be rejected

rejection of the null hypothesis when it is true and should be accepted

rejection of the null hypothesis when it is false and should be rejected

acceptance of the null hypothesis when it is true and should be accepted

GATE CE 2016 Set 1

MCQ (Single Correct Answer)

-0.3

If the entries in each column of a square matrix $$M$$ add up to $$1$$, then an eigenvalue of $$M$$ is

$$4$$

$$3$$

$$2$$

$$1$$

GATE CE 2016 Set 1

MCQ (Single Correct Answer)

-0.6

The magnitudes of vectors P, Q and R are 100 kN, 250 kN and 150 kN, respectively as shown in the figure. GATE CE 2016 Set 1 Engineering Mechanics - Equilibrium of Force Systems Question 6 English

GATE CE 2016 Set 1 Engineering Mechanics - Equilibrium of Force Systems Question 6 English

The respective values of the magnitude (in kN) and the direction (with respect to the x-axis) of the resultant vector are

290.9 and 96.0°

368.1 and 94.7°

330.4 and 118.9°

400.1 and 113.5°

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