Quantitative Aptitude

Mixtures and Alligation

1,816 Questions

All Direct removal and addition 448 Alligation cross rule 270 Ratios, quantities, and percentages 233 Weighted mean and concentration 195 Equal quantity replacement 189 Three or more components 174 Repeated equal-volume replacement 154 Profit-based alligation 153

Mixtures and Alligation Questions

Multiple choice

Three containers have their volumes in the ratio $3 : 4 : 5$. They are full of mixtures of milk and water. The mixtures contain milk and water in the ratio of $(4 : 1), (3 : 1) and (5 : 2)$, respectively. The ratio of milk and water in the fourth container con tains all the above three mixtures is

$4 : 1$
$151 : 48$
$157 : 53$
$5 : 2$

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Multiple choice

One gallon of fuel mixture contains antifreeze in the ratio of $5$ parts fuel to one part antifreeze. To this is added half a gallon of mixture which is one third antifreeze and two thirds fuel. What is the ratio of fuel to antifreeze in the final mixture? (Grid your answer as a fraction: fuel/antifreeze)

$\dfrac {3}{2}$
$\dfrac {5}{2}$
$\dfrac {7}{2}$
$\dfrac {9}{2}$

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Multiple choice

Two liquids A and B are at temperatures $75^{o}C$ and $150^{o}C$, respectively. Their masses are in the ratio 2 : 3 and specific heats are in the ratio 3 : 4. The resultant temperature of the mixture, when the above liquids are mixed (neglect the water equivalent of container ) is :

$75^{o}C$
$100^{o}C$
$50^{o}C$
$125^{o}C$

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Multiple choice

Two substances of densities ${ \rho }{ 1 }$ and ${ \rho }{ 2 }$ are mixed in equal volume and the relative density of mixture is $4$. When they are mixed in equal masses, the relative density of the mixture is $3$. The values of ${ \rho }{ 1 }$ and ${ \rho }{ 2 }$ are :

${ \rho }_{ 1 }=6$ and ${ \rho }_{ 2 }=2$
${ \rho }_{ 1 }=3$ and ${ \rho }_{ 2 }=5$
${ \rho }_{ 1 }=12$ and ${ \rho }_{ 2 }=4$
None of these

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Multiple choice

An amount of water of mass $20\ g$, at $0^{0}C$ is mixed with $40\ g$ of water at $100^{0}C$. Final temperature of mixture is:

$-20^{0}C$
$66.67^{0}C$
$5^{0}C$
$0^{0}C$

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Multiple choice

A solution is obtained by mixing $200g$ of $30$% and $300g$ of $20$% solution by weight. What is the percentage of solute in the final solution?

$50$%
$28$%
$64$%
$24$%

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Multiple choice

Half litre each of three samples of $H_{2}O_{2}$ labelled $10$ volume, $15$ volume and $20$ volume are mixed and then diluted with equal volume of water. The relative strength of resultant $H_{2}O_{2}$ solution is:

$2.5$
$5.0$
$7.5$
$10$

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Multiple choice

Vapour pressure of $C_6H_6$ and $C_7H_8$ are 119 mm and 37 mm of Hg. Calculate molar composition of $C_6H_6$ and $C_7H_8$ in a mixture having V.P. of 80 mm of Hg. Also calculate vapour phase composition over the mixture:

Liquid phase 52.44%, 47.56% vapour phase 78%, 22%
Liquid phase 78%, 22% vapour phase 52.44%, 47.56%
Liquid phase 60.45%, 39.50% vapour phase 82%, 18%
Liquid phase 82%, 18% vapour phase 60.45%, 39.50%

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Multiple choice

A container of capacity 700 ml is filled with two different liquids of volume 200 ml and 500 ml with respective volume expansivities as $1.4\times 10^{-5}/^{0}C$ and $2.1\times 10^{-5}/^{0}C$ . During the heating of the vessel, it is observed that neither liquid overflows nor empty space is created. The volume expansitivity of the container is

$1.9\times 10^{-5}/^{0}C$
$1.9\times 10^{-6}/^{0}C$
$1.6\times 10^{-5}/^{0}C$
$1.6\times 10^{-6}/^{0}C$

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Multiple choice

Determine the volume of diluted nitric acid $(d=1.11\; g\;ml^{-1}$, $19\%$ w/v) that can be prepared by diluting $50$ ml of conc. $HNO_{3}$ with water $(d= 1.42\; g\;ml^{-1}$, $76\%$ w/v).

$200$ ml
$300$ ml
$400$ ml
$500$ ml

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Multiple choice

A sample containing only $CaCO_{3}$ and $MgCO_{3}$ is ignited to $CaO$ and $MgO$. The mixture of oxides produced weight exactly half as much as the original sample. The mass percentages of $CaCO_{3}$ and $MgCO_{3}$ in the sample are respectively :

$28.4$%, $71.6$%
$71.6$%, $28.4$%
$56.7$%, $43.3$%
$78.5$%, $21.5$%

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Multiple choice

A sample of mixture of $CaCl_{2}$ and $NaCl$ weighing $5.55$ g was treated to precipitate all the $Ca$ as $CaCO_{3}$ which was then heated and quantitatively converted to $1.68$ g of $CaO$. The mass percentage of $CaCl_{2}$ in the mixture is;

$60$%
$70$%
$45$%
$56$%

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Multiple choice

A mixture is prepared by mixing $10$ g $H_{2}SO_{4}$ and $40$ g $SO_{3}$. The mole fraction of $H_{2}SO_{4}$ and $\%$ labelling of oleum is :

$0.169, 118\%$
$0.169, 108\%$
$0.184, 118\%$
$0.184, 108\%$

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Multiple choice

A vessel contains air and saturated vapor. The pressure of air is $\mathrm{p}{2}$ and $\mathrm{p}{1}$ is the S.V. P. On compressing the mixture to one-fourth of its original volume, what is the increase in pressure of the mixture?

$2\mathrm{p}_{1}$
$2\mathrm{p}_{2}$
$3\mathrm{p}_{1}$
$3\mathrm{p}_{2}$

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Multiple choice

$100\ {cm}^{3}$ of $1M$ ${ CH }{ 3 }COOH$ was mixed with $100\ {cm}^{3}$ of $2M$ ${CH}{3}OH$ to form an ester. The change in the initial rate if each solution is diluted with equal volume of water would be:

$2$ times
$4$ times
$0.5$ times
$0.25$ times

Reveal answer Fill a bubble to check yourself

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