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

A rigid member ACB is shown in the figure. The member is supported at A and B by pinned and guided roller supports, respectively. A force P acts at C as shown. Let R_Ah and R_Bh be the horizontal reactions at supports A and B, respectively, and R_Av be the vertical reaction at support A. Self- weight of the member may be ignored. GATE CE 2016 Set 1 Engineering Mechanics - Equilibrium of Force Systems Question 5 English

GATE CE 2016 Set 1 Engineering Mechanics - Equilibrium of Force Systems Question 5 English

Which one of the following sets gives the correct magnitudes of R_Av, R_Bh and R_Ah ?

R_Av = 0; R_Bh = $$\frac1{3} P;$$ and R_Ah = $$\frac2{3} P;$$

R_Av = 0; R_Bh = $$\frac2{3} P;$$ and R_Ah = $$\frac1{3} P;$$

R_Av = 0; R_Bh = $$\frac3{8} P;$$ and R_Ah = $$\frac{1.5}{8} P;$$

R_Av = 0; R_Bh = $$\frac{1.5}{8} P;$$ and R_Ah = $$\frac{1.5}{8} P;$$

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