GATE CE 2017 Set 2 | GATE CE Year Wise Previous Years Questions

GATE CE 2017 Set 2

MCQ (Single Correct Answer)

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Consider the following simultaneous equations (with $${c_1}$$ and $${c_2}$$ being constants): $$$3{x_1} + 2{x_2} = {c_1}$$$ $$$4{x_1} + {x_2} = {c_2}$$$

The characteristic equation for these simultaneous equation is

$${\lambda ^2} - 4\lambda - 5 = 0$$

$${\lambda ^2} 4\lambda + 5 = 0$$

$${\lambda ^2} + 4\lambda - 5 = 0$$

$${\lambda ^2} + 4\lambda + 5 = 0$$

GATE CE 2017 Set 2

MCQ (Single Correct Answer)

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If $$A = \left[ {\matrix{ 1 & 5 \cr 6 & 2 \cr } } \right]\,\,and\,\,B = \left[ {\matrix{ 3 & 7 \cr 8 & 4 \cr } } \right]A{B^T}$$ is equal to

$$\left[ {\matrix{ {38} & {28} \cr {32} & {56} \cr } } \right]$$

$$\left[ {\matrix{ 3 & {40} \cr {42} & 8 \cr } } \right]$$

$$\left[ {\matrix{ {43} & {27} \cr {34} & {50} \cr } } \right]$$

$$\left[ {\matrix{ {38} & {32} \cr {28} & {56} \cr } } \right]$$

GATE CE 2017 Set 2

Numerical

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The analysis of a water sample produces the following results: GATE CE 2017 Set 2 Environmental Engineering - Quality Control of Water Question 9 English

GATE CE 2017 Set 2 Environmental Engineering - Quality Control of Water Question 9 English

The total hardness (in mg/L as $${\mathrm{CaCO}}_3$$) of the water sample is ______.

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GATE CE 2017 Set 2

Numerical

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The figure shows a U-tube having a 5 mm × 5 mm square cross-section filled with mercury (specific gravity = 13.6) up to a height of 20 cm in each limb (open to the atmosphere). GATE CE 2017 Set 2 Fluid Mechanics and Hydraulic Machines - Fluid Statics Question 4 English

GATE CE 2017 Set 2 Fluid Mechanics and Hydraulic Machines - Fluid Statics Question 4 English

If 5cm³ of water is added to the right limb, the new height (in cm, up to two decimal places) of mercury in the LEFT limb will be______

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