GATE CE 2022 Paper 1 — page 15

Questions 43–45 of 65. Imported answers require review unless explicitly marked reviewed.

In a water sample, the concentrations of Ca

, Mg

and HCO

are 100 mg/L, 36 mg/L and 122 mg/L, respectively. The atomic masses of various elements are: Ca = 40, Mg = 24, H = 1, C = 12, O = 16.

The total hardness and the temporary hardness in the water sample (in mg/L as CaCO

) will be

Your answerChoose one option.

400 and 100, respectively.

400 and 300, respectively.

500 and 100, respectively.

800 and 200, respectively.

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Consider the four points P, Q, R, and S shown in the Greenshields fundamental speed-flow diagram. Denote their corresponding traffic densities by

, and

, respectively. The correct order of these densities is

Your answerChoose one option.

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Let

denote the maximum of two real numbers

and

. Which of the following statement(s) is/are TRUE about the function

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

It is continuous on its domain.

It has a local minimum at

It has a local maximum at

It is differentiable on its domain.

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2022 · Paper 1