1
GATE CE 2025 Set 2
Numerical
+2
-0

Consider a discrete random variable $X$ whose probabilities are given below. The standard deviation of the random variable is _________ (round off to one decimal place).

$$ \begin{array}{|c|c|c|c|c|} \hline x_1 & 1 & 2 & 3 & 4 \\ \hline P\left(X=x_i\right) & 0.3 & 0.1 & 0.3 & 0.3 \\ \hline \end{array} $$

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2
GATE CE 2025 Set 2
MCQ (Single Correct Answer)
+1
-0.33

The bacteria mainly responsible for crown corrosion in a sewer is $\qquad$

A
Methanogenic bacteria
B
Denitrifying bacteria
C
Sulphur reducing bacteria
D
Pseudomonas bacteria
3
GATE CE 2025 Set 2
MCQ (Single Correct Answer)
+1
-0.33
Identify the treatment technology/technologies NOT recommended for highly biodegradable organic solid wastes.
A
Biohydrogenation
B
Anaerobic digestion
C
Composting
D
Open dumping
4
GATE CE 2025 Set 2
Numerical
+1
-0

Free residual chlorine concentration in water was measured to be $2 \mathrm{mg} / \mathrm{l}$ (as $\mathrm{Cl}_2$ ). The pH of water is 8.5. By using the chemical equation given below, the HOCl concentration (in $\mu$ moles $/ \mathrm{l}$ ) in water is $\qquad$ (round off to one decimal place).

$$ \mathrm{HOCl} \rightleftharpoons \mathrm{H}^{+}+\mathrm{OCl}^{-}, \mathrm{pK}=7.50 $$

Atomic weight: Cl(35.5)

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