basic concept and quiz on mixture and alligation · 10/12/2015 bankers adda: basic concept and quiz...
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10/12/2015 Bankers Adda: Basic Concept and Quiz on Mixture and Alligation
http://www.bankersadda.com/2015/05/basicconceptandquizonmixtureand.html 1/8
THURSDAY, 21 MAY 2015
Basic Concept and Quiz on Mixture andAlligation
Mixture: Mixing of two ormore than two type ofquantities gives us amixure.Quantities of theseelements can be expressedas percentage or ratio.(1) Percentage: (20% ofsugar in water)
(2)Fraction: A solution ofsugar and water such that (sugar : water = 1:4)
Alligation: Alligation is a rule which is used to solve the problems related tomixture and its ingredient.It is the rule that enables us to find the ratio inwhich two or more ingredients at the given price must be mixed to produce amixture of desired price.Alligation Rule:When two elements are mixed to make a mixture and one of the elements ischeaper and other one is costlier then
Here Mean Price is CP of mixture per unit quantity.Above rule can be written as,
Cheaper Quantity :Costlier Quantity = (D – M) : (M – C)
Trick: If n different vessels of equal size are filled with the mixture of P and Q in theratio p1 : q1, p2 : q2, ……, pn : qn and content of all these vessels aremixed in one large vessel, then
Quant Quiz on mixture and Allegation:1. A can contains a mixture of two liquids A and B in the ratio 7:5 when9 litres of mixture are drawn off and the can is filled with B, the ratio ofA and B becomes 7:9. How many litres of liquid A was contained by thecan initially?A.28 litresB.21 litresC.45 litresD.36 litres
2.A man travelled a distance of 90Km in 9 hours partly on foot at 8kmph and partly on bicycle at 17 kmph. Find the distance travelled onfoot.A.46 km
B.56 kmC.62 kmD.52 km
3.A milk vendor has 2 cans of milk .The first contains 25% water and the
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10/12/2015 Bankers Adda: Basic Concept and Quiz on Mixture and Alligation
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3.A milk vendor has 2 cans of milk .The first contains 25% water and therest milk. The second contains 50% water. How much milk should hemix from each of the container so as to get 12 litres of milk such that theratio of water to milk is 3:5?A.6 litresB.1 litresC.8 litresD.7 litres
4. In what ratio must a person mix three kinds of wheat costing him Rs1.20,Rs 1.44 and Rs 1.74 per Kg so that the mixture may be worth Rs1.41 per Kg?A.11:77:7B.25:45:8C.27:23:6D.11:45:7
5.A painter mixes blue paint with white paint so that the mixturecontains 10% blue paint.In a mixture of 40 litres paint how many litresblue paint should be added so that the mixture contains 20% of bluepaint.A. 2.5 litresB. 4litresC. 5litresD.2 litres
Answers1. (B) Let initially contained 7x & 5x
So, (7x‐9/12*7)/(5x‐9/12*5+9)=7/9
(12x‐9)/(60x+63)=1/9
x=3Required Quantity = 7x = 7*3=21 litres
2. (B) Average Speed = 90/9=10kmphSo, By Rule of Allegations
Required Distance = 7*8=56 km
3. (A) Milk in 1st can = ¾Milk in IInd can = ½Milk in Resultant mixture = 5/8So,
1 + 1 = 122 = 121 = 6 liter
4. (A) In first case, We take 1. 20, 1.44 & 1. 41
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10/12/2015 Bankers Adda: Basic Concept and Quiz on Mixture and Alligation
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4. (A) In first case, We take 1. 20, 1.44 & 1. 41
So,
1:7In second case, We take 1.20, 1. 74 & 1. 41so,
11 : 7
Since I : II = 1.7I : III = 11 : 7
So, I : II : III = 11 : 77 : 7
5. (C) Percentage of blue point, in pure Blue point =100%
So,
8 : 1Since 8 = 40 1 = 5 liters
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