#121
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A circular sewer pipe, having Manning's coefficient $(n)$ of $0.01$, is laid at a bed slope of $1: 100$. If it is flowing $80 \%$ full for a discharge of $2 \mathrm{~m}^{...
#122
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You conducted a batch experiment in the lab for $10$ minutes to degrade a toxic compound, which follows first order kinetics. The compound degrades from $2 \times 10^{-3}...
#123
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A common effluent treatment plant with a capacity of $2$ million litres per day (MLD) employs reverse osmosis (RO) for water reuse. The RO unit removes $95 \%$ of the tot...
#124
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A boiler burns coal at a rate of $1 \mathrm{~kg} / \mathrm{s}$. If the coal has $3 \%$ sulfur content, assuming that there is no sulfur in ash, $\mathrm{SO}_{2}$ emitted ...
#125
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A particle dispersoid has $1510$ spherical particles of uniform density. An air purifier is proposed to be used to remove these particles. The diameter specific number of...
#126
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An incandescent light bulb operated for two hours per day uses $12.2 \: \text{kWh}$ of energy per month. Burning of one kg of coal generates $2 \: \text{kWh}$ of electric...
#127
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A street sweeping machine starts from point $P$ and ends at $S$, as shown in the network of streets below. It sweeps all the streets at least once.Length of the streets, ...
#128
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A solid waste of composition $\mathrm{C}_{60} \mathrm{H}_{135} \mathrm{O}_{50} \mathrm{~N}_{5}$ is to be composted aerobically in a closed vessel mechanical composting fa...
#129
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An industry releases three greenhouse gases $\mathrm{(GHGs)}$, $\mathrm{CO}_{2}(5 \mathrm{~kg} /$ day $), \mathrm{CH}_{4}(0.5$ $\mathrm{kg} /$ day $)$, and $\mathrm{N}_{2...
#130
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Water from a hand pump located near a landfill has $1 \mathrm{mg} / \mathrm{L}$ arsenic (oral carcinogenic potency factor $=1.75(\mathrm{~kg-day}) / \mathrm{mg})$. A pers...
#131
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If ' $\rightarrow$ ' denotes increasing order of intensity, then the meaning of the words[sick $\rightarrow$ infirm $\rightarrow$ moribund] is analogous to [silly $\right...
#132
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In an election, the share of valid votes received by the four candidates $\text{A, B, C}$, and $\mathrm{D}$ is represented by the pie chart shown. The total number of vot...
#133
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1 1 answer
The sum of the following infinite series is\[2+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{8}+\frac{1}{9}+\frac{1}{16}+\frac{1}{27}+\cdots\]$11 / 3$$7 / 2$$13 / 4$$9 / 2...
#134
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How many $4$-digit positive integers divisible by $3$ can be formed using only the digits $\{1,3,4,6,7\}$, such that no digit appears more than once in a number?$24$$48$$...
#135
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Visualize two identical right circular cones such that one is inverted over the other and they share a common circular base. If a cutting plane passes through the vertice...
#136
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The $15$ parts of the given figure are to be painted such that no two adjacent parts with shared boundaries $\text{(excluding corners)}$ have the same color. The minimum ...
#137
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The probability of a boy or a girl being born is $1 / 2$. For a family having only three children, what is the probability of having two girls and one boy?$3 / 8$$1 / 8$$...
#138
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1 1 answer
Three different views of a dice are shown in the figure below.The piece of paper that can be folded to make this dice is
#139
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Person $1$ and Person $2$ invest in three mutual funds $\text{A, B}$, and $\text{C}$. The amounts they invest in each of these mutual funds are given in the table Mutual...
#140
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1 1 answer
Thousands of years ago, some people began dairy farming. This coincided with a number of mutations in a particular gene that resulted in these people developing the abili...