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:

20 kg of a mixture of wheat and husk contains 5% husk. How many kg more of husk must be added to make the husk content 20% in the new mixture?

A) 2.75 B) 3.75
C) 4.75 D) 5.75
 
Answer & Explanation Answer: B) 3.75

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

5 1350
Q:

The alcohol and water in a mixture are in the ratio of 7 : 8 respectively. If 11 litre water is added to it, then the ratio of alcohol and water in the new mixture becomes 3 : 5. What is the total quantity (in litres) of the alcohol in the new mixture?

A) 21 B) 24
C) 35 D) 32
 
Answer & Explanation Answer: A) 21

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

4 1319
Q:

In a mixture of 25 litres, the ratio of milk to water is 4:1. Another 3 litres of water is added to the mixture. The ratio of milk to water in the new mixture is

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

1 1314
Q:

The ratio of spirit and water in the two vessels is 5 : 1 and 3 : 7 respectively. In what ratio the liquid of both the vessels should be mixed such that a new mixture containing half spirit and half water is obtained?

 

A)  3 : 5 B)  5 : 7 
C) 3) 1 : 1 D)
 
Answer & Explanation Answer: A)  3 : 5

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

6 1299
Q:

An 80 litre mixture of water and acid contains 20% acid. How much acid should be added to make the acid 60% in the new mixture?

 

 

A) 60 B) 80
C) 70 D) 90
 
Answer & Explanation Answer: B) 80

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

2 1298
Q:

A mixture contains spirit and water in the ratio of 3 : 2. If it contains 3 litres more spirit than water, the quantity of spirit in the mixture is

A) 12 litres B) 10 litres
C) 9 litres D) 8 litres
 
Answer & Explanation Answer: C) 9 litres

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

3 1295
Q:

The ratio of sand to gravel in a mixture is 17:8 while that between gravel and cement is 6:17. What is the ratio of sand to cement in the mixture?

A) 17:17 B) 289:48
C) 8:6 D) 3:4
 
Answer & Explanation Answer: D) 3:4

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

3 1290
Q:

50 litre mixture of water and alcohol contains 10% alcohol. How much more alcohol must be added to make the strength of alcohol 40% in the new mixture?

A) 25 B) 30
C) 20 D) 23
 
Answer & Explanation Answer: A) 25

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

7 1284