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GATE GENERAL APTITUDE | CHAPTER 34: Mixtures and Alligations | Page 302 Example 2|
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2
CAT 2021 Set-3 | Quantitative Aptitude | Question: 14
If a certain weight of an alloy of silver and copper is mixed with $3 \; \text{kg}$ of pure silver, the resulting alloy will have $90 \%$ silver by weight. If the same weight of the initial alloy is mixed with $2 \; \text{kg}$ of another alloy ... $84 \%$ silver by weight. Then, the weight of the initial alloy, in kg, is $4$ $2.5$ $3$ $3.5$
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CAT 2021 Set-2 | Quantitative Aptitude | Question: 21
From a container filled with milk, $9 \; \text{litres}$ of milk are drawn and replaced with water. Next, from the same container, $9 \; \text{litres}$ are drawn and again replaced with water. If the volumes of milk and water in the container are now in the ratio of $16:9,$ then the capacity of the container, in $\text{litres},$ is
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4
CAT 2021 Set-1 | Quantitative Aptitude | Question: 11
The strength of an indigo solution in percentage is equal to the amount of indigo in grams per $100 \; \text{cc}$ of water. Two $800 \; \text{cc}$ bottles are filled with indigo solutions of strengths $33 \%$ and $17 \%,$ ... the first bottle has now changed to $21 \%$ then the volume, in cc, of the solution left in the second bottle is
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5
CAT 2020 Set-3 | Question: 72
Two alcohol solutions, $\text{A}$ and $\text{B},$ are mixed in the proportion $1:3$ by volume. The volume of the mixture is then doubled by adding solution $\text{A}$ such that the resulting mixture has $72\%$ alcohol. If solution $\text{A}$ has $60\%$ alcohol, then the percentage of alcohol in solution $\text{B}$ is $94\%$ $92\%$ $90\%$ $89\%$
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6
CAT 2020 Set-1 | Question: 53
An alloy is prepared by mixing three metals $\text{A, B}$ and $\text{C}$ in the proportion $3:4:7$ by volume. Weights of the same volume of the metals $\text{A, B}$ and $\text{C}$ are in the ratio $5:2:6$. In $130$ kg of the alloy, the weight, in kg, of the metal $\text{C}$ is $70$ $96$ $48$ $84$
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CAT 2020 Set-1 | Question: 74
A solution, of volume $40$ litres, has dye and water in the proportion $2:3.$ Water is added to the solution to change this proportion to $2:5.$ If one$-$ fourths of this diluted solution is taken out, how many litres of dye must be added to the remaining solution to bring the proportion back to $2:3$?
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NIELIT 2019 Feb Scientist D - Section D: 21
How many litres of a $3\%$ hydrogen peroxide solution should be mixed with $6$ liters of a $30\%$ hydrogen peroxide solution so as to get a mixture of $12\%$ solution ? $3$ litres $6$ liters $9$ litres $12$ litres
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NIELIT 2019 Feb Scientist D - Section C: 22
Three different containers contain different qualities of mixtures of milk and water whose measurements are $403$ $kg$, $434$ $kg$ and $465$ $kg$. What biggest measure must be there to measure all different qualities an exact number of times ? $1$ $kg$ $7$ $kg$ $41$ $kg$ $31$ $kg$
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alligation-mixture
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10
NIELIT 2019 Feb Scientist C - Section C: 16
A can contains a mixture of two liquids $\text{A}$ and $\text{B}$ in proportion $7:5$. When $9$ litres of mixture are drawn off and the can is filled with $\text{B}$, the proportion of $\text{A}$ and $\text{B}$ becomes $7:9$. How many litres of liquid $\text{A}$ was contained by the can initially? $25$ $10$ $20$ $21$
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Apr 1, 2020
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NIELIT 2017 OCT Scientific Assistant A - Section A: 3
An alloy contains copper and zinc in the ratio $5:3$ and another contains copper and tin in the ratio $8:5.$ If equal weights of the two are melted together to form a $3^{rd}$ alloy, find the weight of tin per kg in the new alloy. $40/129$ $5/13$ $5/26$ $28/5$
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mixtures
alligation-mixture
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12
CAT 2019 Set-2 | Question: 84
The strength of a salt solution is $p\%$ if $100$ ml of the solution contains $p$ grams of salt. Each of three vessels $\text{A, B, C}$ contains $500$ ml of salt solution of strengths $10\%$, $22\%$, and $32\%$, respectively. Now, $100$ ml of ... to vessel $\text{A}$. The strength, in percentage, of the resulting solution in vessel $\text{A}$ is $12$ $14$ $13$ $15$
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13
CAT 2018 Set-2 | Question: 75
A $20\%$ ethanol solution is mixed with another ethanol solution, say, $\text{S}$ of unknown concentration in the proportion $1:3$ by volume. This mixture is then mixed with an equal volume of $20\%$ ethanol solution. If the resultant mixture is a $31.25\%$ ethanol solution, then the unknown concentration of $\text{S}$ is $52\%$ $50\%$ $55\%$ $48\%$
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14
CAT 2018 Set-2 | Question: 83
A jar contains a mixture of $175$ ml water and $700$ ml alcohol. Gopal takes out $10\%$ of the mixture and substitutes it by water of the same amount. The process is repeated once again. The percentage of water in the mixture is now $35.2$ $30.3$ $20.5$ $25.4$
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15
CAT 2018 Set-2 | Question: 93
The strength of a salt solution is $p\%$ if $100$ ml of the solution contains $p$ grams of salt. If three salt solutions $\text{A, B, C}$ are mixed in the proportion $1:2:3$, then the resulting solution has strength $20\%$. If instead the proportion is $3:2:1$, then the ... $\text{D}$ to that of $\text{A}$ is $2:5$ $1:3$ $1:4$ $3:10$
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16
CAT 2018 Set-2 | Question: 98
There are two drums, each containing a mixture of paints $\text{A}$ and $\text{B}$. In drum $1, \text{A}$ and $\text{B}$ are in the ratio $18: 7$. The mixtures from drums $1$ and $2$ are mixed in the ratio $3: 4$ and in this final mixture, $\text{A}$ and ... $2$, then $\text{A}$ and $\text{B}$ were in the ratio $229:141$ $220:149$ $239: 161$ $251: 163$
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alligation-mixture
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17
CAT 2018 Set-1 | Question: 95
Two types of tea, $\text{A}$ and $\text{B}$, are mixed and then sold at Rs. $40$ per kg. The profit is $10\%$ if $\text{A}$ and $\text{B}$ are mixed in the ratio $3 : 2$, and $5\%$ if this ratio is $2 : 3$. The cost prices, per kg, of $\text{A}$ and $\text{B}$ are in the ratio $18:25$ $19:24$ $21:25$ $17:25$
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18
CAT 2017 Set-2 | Question: 69
Bottle $1$ contains a mixture of milk and water in $7: 2$ ratio and Bottle $2$ contains a mixture of milk and water in $9:4$ ratio. In what ratio of volumes should the liquids in Bottle $1$ and Bottle $2$ be combined to obtain a mixture of milk and water in $3:1$ ratio? $27:14$ $27:13$ $27:16$ $27:18$
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19
CAT 2017 Set-2 | Question: 80
Consider three mixtures - the first having water and liquid $\text{A}$ in the ratio $1:2$, the second having water and liquid $\text{B}$ in the ratio $1:3$, and the third having water and liquid $\text{C}$ in the ratio $1:4$. These three mixtures of ... same amount of liquids $\text{B}$ and $\text{C}$ More water than liquid $\text{B}$ More water than liquid $\text{A}$
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20
CAT 2016 | Question: 85
Two liquids $A$ and $B$ are in the ratio $5 : 1$ in container $1$ and $1 : 3$ in container $2$. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of A and B in the ratio $1 : 1$? $2:3$ $4:3$ $3:2$ $3:4$
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Mar 11, 2020
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21
CAT 2015 | Question: 78
Two liquids $\text{A}$ and $\text{B}$ are in the ratio $5 : 1$ in container $1$ and $1 : 3$ in container $2$. In what ratio should the contents of the two containers be mixed so as to obtain a mixture of $\text{A}$ and $\text{B}$ in the ratio $1 : 1$? $2 : 3$ $4 : 3$ $3 : 2$ $3 : 4$
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cat2015
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22
CAT 2011 | Question: 12
One morning, Govind Lal the owner of the local petrol bunk, was adulterating the petrol with kerosene. He had two identical tanks- the first was full of pure petrol while the second was empty. First he transferred an arbitrary amount of petrol from the first tank into the second and then replaced the ... $25$% ? $42\frac{6}{7}\%$ $66\frac{2}{3}\%$ $83\frac{1}{3}\%$ $100\%$
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CAT 2011 | Question: 11
One morning, Govind Lal the owner of the local petrol bunk, was adulterating the petrol with kerosene. He had two identical tanks- the first was full of pure petrol while the second was empty. First he transferred an arbitrary amount of petrol from the first tank into the second ... be the concentration of petrol in the second tank? $50\%$ $60\%$ $66\frac{2}{3}\%$ $80\%$
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CAT 2019 Set-1 | Question: 88
A chemist mixes two liquids $1$ and $2$. One litre of liquid $1$ weighs $1$ kg and one litre of liquid $2$ weighs $800$ gm. If half litre of the mixture weighs $480$ gm, then the percentage of liquid $1$ in the mixture, in terms of volume, is $85$ $70$ $75$ $80$
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CAT 2013 | Question: 28
The density of a liquid is defined as the weight per unit volume of the liquid. The densities of two liquids A and B are in the ratio $2:1$. The liquid B evaporates at a rate (in kg/hr) which is twice as fast compared to that of liquid A, which ... $2.5$ $3$ $3.5$ $4$
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cat2013
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CAT 2012 | Question: 18
A vessel has a milk solution in which milk and water are in the ratio $4:1$. By addition of water to it,milk solution with milk and water in the ratio $4:3$ was formed. On replacing $14\;\text{L}$ of this solution with pure milk the ratio of milk and water changed to $5:3$. What is the volume of the water added? $12\;\text{L}$ $60\;\text{L}$ $32\;\text{L}$ $24\;\text{L}$
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CAT 2001 | Question: 31
Fresh grapes contain $90\%$ water by weight while dry grapes contain $20\%$ water by weight. What is the weight of dry grapes available from $20$ kg of fresh grapes? $2$ kg $2.4$ kg $2.5$ kg None of these
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CAT 2004 | Question: 40
A milkman mixes $20$ litres of water with $80$ litres of milk. After selling one-fourth of his mixture, he adds water to replenish the quantity that he has sold. What is the current proportion of water to milk? $2:3$ $1:2$ $1:3$ $3:4$
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