Mixture and Alligation Practice

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Questions and Answers

In a mixture of rice at $70/kg$ and rice at $100/kg$, what is the ratio needed to create a mixture worth $80/kg$?

  • 1:2
  • 2:3 (correct)
  • 3:4
  • 4:5

If a certain quantity of water is mixed with milk priced at Rs 50 per liter, what is the ratio that results in a mixture worth 80/kg?

  • 1:2
  • 3:4
  • 2:3 (correct)
  • 1:1

For subtraction modulo 8 with a=15 and b=4, what is the result?

  • -1
  • -5
  • 5 (correct)
  • 9

What is the remainder when $(672+541+383+295+101+86)$ is divided by 3?

<p>1 (C)</p> Signup and view all the answers

In a scenario where there are 81 boxes with 21 articles each, how many articles will be left out when rearranging them into boxes with 5 articles each?

<p>76 (D)</p> Signup and view all the answers

If Quantity of Pure Liquid is $x$, which equation represents taking out $y$ units and leaving only $(x-y)$ units?

<p>$(1-x)$ (C)</p> Signup and view all the answers

If a container initially has 60 L of milk, and 4 L of milk is taken out and replaced with water, how much milk will be left in the container after this process is repeated 3 times?

<p>48.78 L (D)</p> Signup and view all the answers

In a dishonest milkman's mixture where he sells milk at cost price but mixes it with water to gain 25%, what percentage of water is present in the final mixture?

<p>50% (A)</p> Signup and view all the answers

If two vessels A and B contain milk and water in the ratio 5:2 and 2:3 respectively, what ratio should they be mixed in to form a new mixture containing half milk and half water?

<p>6:7 (C)</p> Signup and view all the answers

In an alloy where Copper and Zinc are in the ratio 2:3 in 200 g, how many grams of copper should be added to make the ratio 3:2?

<p>100 grams (D)</p> Signup and view all the answers

If a shopkeeper is distributing a 45 L mixture of Milk & Water in the ratio of 4:1, and then adds 4 L milk & 3 L water, what will be the new ratio of water and milk?

<p>2:7 (B)</p> Signup and view all the answers

If Tea worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1:1:2 to get a mixture worth Rs. 153 per kg, what is the price of the third variety per kg?

<p>$160 (A)</p> Signup and view all the answers

What is the range for the amount of a 25% acid solution that should be added to 600 liters of solution to keep the concentration between 12% and 15%?

<p>92 to 300 liters (A)</p> Signup and view all the answers

If 150 liters of a 30% acid solution is added to 500 liters of a 20% acid solution, what is the resulting concentration of the mixture?

<p>25% (B)</p> Signup and view all the answers

In a race, boat A covers a distance in 3 hours and boat B covers the same distance in 4 hours. If boat B travels at a speed of 30 km/h, what is the speed of boat A?

<p>40 km/h (A)</p> Signup and view all the answers

If a boat can travel downstream at a speed of 18 km/h and upstream at a speed of 9 km/h, what is the speed of the stream?

<p>4.5 km/h (A)</p> Signup and view all the answers

In a mixture, the ratio of milk to water is 5:2. If 10 liters of water is added to the mixture containing 40 liters of milk, what will be the new ratio of milk to water?

<p>5:4 (A)</p> Signup and view all the answers

If two numbers are in the ratio 5:7 and their sum is 180, what is the larger number?

<p>140 (C)</p> Signup and view all the answers

Flashcards

Ratio for Mixtures

Ratio needed = (Difference between mean price and cost of cheaper quantity) : (Difference between cost of costlier quantity and mean price)

Subtraction Modulo 8

Subtract b from a, and if the result is negative, add 8 to the result to get a number between 0 and 7.

Remainder After Division

  1. Add the numbers to get 2078, 2. Find the remainder after dividing by 3.

Pure Liquid Proportion

The equation (1 - y/x) represents the proportion of the pure liquid remaining after removing y units from x units.

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Acid Solution Concentration

V1 * (C1/100) + V2 * (C2/100) = Resultant Volume * (Resultant Concentration/100)

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Speed of Boat Calculation

A is directly proportional to the speed and inversely proportional to time taken i.e Speed of A / Speed of B = Time taken by B / Time taken by A

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Speed of Stream Calculation

(Downstream Speed - Upstream Speed)/2

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Finding a Number in a Ratio

The larger number of the two numbers is (Ratio of Larger Number / Sum of Ratios) * Total Sum.

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