GATE CE branch:ce PYQs & Answers — Page 6

Questions 51–60 of 1300. Imported answers require independent review unless marked reviewed.

Bag I contains 4 white and 6 black balls. Bag II contains 4 white and 3 black balls. One ball is drawn at random from any one of the two bags and it is found to be a black ball. The probability that the black ball was drawn from Bag I is ______ (rounded off to two decimal places).

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Which one of the following statements is TRUE with respect to leveling survey?

Your answerChoose one option.

A level surface at all points is normal to the direction of the force of gravity.

Two level surfaces can cross each other.

Ellipsoid is an irregular surface approximating the physical surface of the Earth.

Geoid is a regular surface approximating the physical surface of the Earth.

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A matrix is given as:

By performing Cholesky decomposition,

of the lower triangular matrix is ______ (in integer).

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Column I presents common air pollutants, and column II presents treatment technologies commonly employed to control air pollutants.

Air pollutant	Treatment technology
1	Dust (size 5-25 m)	P	Cyclone separator
2	Carbon monoxide (CO)	Q	Wet lime-water scrubber
3	Sulfur dioxide (SO )	R	Electrostatic precipitator
4	Fly ash (size < 2.5 m)	S	Catalytic converter

The option that CORRECTLY matches the air pollutant with its treatment technology is:

Your answerChoose one option.

1 – P ; 2 – S ; 3 – Q ; 4 – R

1 – P ; 2 – R ; 3 – S ; 4 – Q

1 – R ; 2 – Q ; 3 – P ; 4 – S

1 – R ; 2 – Q ; 3 – S ; 4 – P

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It is given that

and

are integers in the following equation:

The value of

is ______ (in integer).

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One-third of the solid matter in a sludge containing 90 % water is composed of fixed mineral solids with specific gravity 2.5, and two-third is composed of volatile solids with specific gravity 1.0.

Specific gravity of all solids lies between

Your answerChoose one option.

1.2 and 1.3

1.5 and 1.6

1.7 and 1.8

2.0 and 2.1

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The required centre-to-centre spacing of 10 mm diameter bars is 150 mm to resist the design moment in a concrete beam. Instead of 10 mm diameter bars, if 12 mm diameter bars of the same grade are used, the required centre-to-centre spacing (in mm) to resist the same design moment becomes ______ (rounded off to the nearest integer).

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The grown algae are useful in the operation of

Your answerChoose one option.

oxidation pond.

slow sand filter.

cyclone separator.

septic tank.

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Two steel plates are to be connected together by a 5 mm fillet weld of length 150 mm to transfer a design load. If the size of the fillet weld used to connect the same two plates is changed to 6 mm, the weld length (in mm) needed for transferring the same design load is ______ (in integer).

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A partial differential equation is given below.

Possible solution(s) is/are:

Your answerSelect all correct options. You can choose more than one.

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GATE CE branch:ce PYQs

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