Alligation or Mixture Questions

FACTS  AND  FORMULAE  FOR  ALLIGATION  OR  MIXTURE  QUESTIONS

 

 

I. Alligation : It is the rule that enables us to find the ratio in which two or more ingredients at the given price must be mixed to produce a mixture of a desired price.

 

II. Mean Price : The cost price of a unit quantity of the mixture is called the mean price.

 

III. Rule of Alligation : Suppose Rs.x per unit be the price of first ingradient mixed with another ingradient (cheaper) of price Rs.y per unit to form a mixture whose mean price is Rs. z per unit, then 

Quantity of cheaper : Quantity of dearer

       = ( C.P of dearer - Mean Price ) : ( Mean Price - C. P of cheaper )

       = ( x- z ) : ( z - y )

 

 IV. Suppose a container contains x units of liquid from which y units are taken out and replaced by water. After  operations , the quantity of pure liquid = x1-yxn units.

 

Q:

In a mixture, unbroken and broken rice grains are in the ratio 3 : 2. How much fraction of the mixture must be drawn off and substituted with broken grains, so that the ratio of unbroken and broken grains becomes 1 : 1?

 

A) 1/3 B) 1/6
C) 1/4 D) 2/5
 
Answer & Explanation Answer: B) 1/6

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4 1594
Q:

In 250 litres mixture of soda and water the ratio of amount of soda to that of water is 7 : 18. In order to make this ratio 2 : 3, how many more litres of soda should be added?

A) 37.5 B) 42.5
C) 45 D) 50
 
Answer & Explanation Answer: D) 50

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3 1552
Q:

Two water-squash mixtures, the first having a water-to-squash ratio of 4 : 1 and the other having a ratio of 3 : 1, are blended in the ratio 1 : 2. What is the water : squash ratio in the blend?

A) 19:11 B) 23:7
C) 17:13 D) 4:3
 
Answer & Explanation Answer: B) 23:7

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6 1522
Q:

In what ratio should tea costing Rs 300/kg be mixed with tea costing Rs 200/kg so that the cost of the mixture is Rs 225/kg?

A) 3 : 1 B) 1 : 3
C) 1 : 4 D) 4 : 1
 
Answer & Explanation Answer: B) 1 : 3

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2 1468
Q:

In a mixture, ink and water are in the ratio of 8 : 5. If 24 litres of water is added to the mixture, then the new ratio becomes 8 : 11. What is the total quantity (in litres) of water in the new mixture?

A) 40 B) 42
C) 44 D) 48
 
Answer & Explanation Answer: C) 44

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4 1464
Q:

An alloy is made by mixing metal A costing Rs 2000/kg and metal B costing Rs 400/kg in the ratio A:B = 3:1. What is the cost (in Rs) of 8 kilograms of this alloy?

A) 1600 B) 9800
C) 6400 D) 12800
 
Answer & Explanation Answer: D) 12800

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3 1411
Q:

In a triangle XYZ , which of the following conditions is true

A) XY ­ YZ > ZX B) XY + YZ < ZX
C) XY ­ YZ < XZ D) XY + ZX < YZ
 
Answer & Explanation Answer: C) XY ­ YZ < XZ

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2 1397
Q:

An alloy contains copper and tin in the ratio 3 : 2. If 250 gm of copper is added to this alloy then the copper in it becomes double the quantity of tin in it. What is the amount (in gm) of tin in the alloy?

A) 250 B) 750
C) 1000 D) 500
 
Answer & Explanation Answer: D) 500

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3 1383