Sawaal

 Alligation or Mixture Questions

Popular Latest Rated Important Formulae

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:

A bucket contains a mixture of two liquids A and B in the proportion 7: 5. If 9 litres of the mixture is replaced by 9 litres of liquid B, then the ratio of the two liquid becomes 7: 9. How much of the liquid A was there in the bucket ?

A) 21 litres B) 15 litres
C) 23 litres D) 18 litres
 
Answer & Explanation Answer: A) 21 litres

Explanation:

Suppose the two liquids A and B are 7x litres and 5x litres respectivel Now, when 9 litres of mixture are taken out,

Now, when 9 liters of liquid B are added

 

 

Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , GATE

9 3363
Q:

How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?

A) 10 B) 20
C) 40 D) 80
 
Answer & Explanation Answer: D) 80

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

6 3133
Q:

Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4. Jar B which had 20 litres of mixture of milk and water, was emptied into jar A, and as a result in jar A, the respective ratio of milk and water becomes 5: 3. What was the quantity of water in jar B?

A) 5 lit B) 3 lit
C) 8 lit D) 2 lit
 
Answer & Explanation Answer: A) 5 lit

Explanation:

Jar A has 36 litres of mixture of milk and water in the respective ratio of 5 : 4 => Quantity of milk in Jar A = 5/9 x 36 = 20 litres Quantity of water in Jar A = 36 - 20 = 16 litres Let quantity of water in Jar B = x litres => Quantity of milk in Jar B = (20 - x) litres Acc. to ques, =>[20 + (20-x)]/(16+x) = 5/3 => 120−3x = 80+5x => 5x +3x = 120−80 => 8x = 40 => 5 litres.

Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture

1 3076
Q:

A vessel, full of water, weighs 24 kg. When the vessel is 1/4 full, it weighs 9 kg. Find the weight of empty vessel.

A) 4 kg B) 5 kg
C) 8 kg D) 3 kg
 
Answer & Explanation Answer: A) 4 kg

Explanation:

Let the weight of vessel be x
Weight of water = 24 – x
⇒ (24 – x)/4 + x = 9
⇒ 24 – x + 4x = 36
⇒ 3x = 12
⇒ x = 4 kg

Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

4 2898
Q:

A drum contains 80 litres of ethanol. 20 litres of this liquid is removed and replaced with water. 20 litres of this mixture is again removed and replaced with water. How much water (in litres) is present in this drum now?

A) 45 B) 40
C) 35 D) 44
 
Answer & Explanation Answer: C) 35

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

0 2840
Q:

8 litres are drawn from a flask containing milk and then filledwith water. The operation is performed 3 more times. Theratio of the quantity of milk left and total solution is 81/625.How much milk the flask initially holds?

A) 10 ltr B) 20 ltr
C) 30 ltr D) 40 ltr
 
Answer & Explanation Answer: B) 20 ltr

Explanation:

Let initial quantity be Q, and final quantity be F

F = Q(1 - 8/Q)4

=> Q = 20

Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture

5 2608
Q:

In a mixture of 35 litres, the ratio of milk and water is 4:1. If 7 litres of water is added to the mixture, the ratio of milk and water of the new mixture will be

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

Explanation:

Ratio of milk andwater = 4:1

Quantity of water = 35/5 = 7 litres

Quantity of milk = 35 X 4/5 = 28 litres

If 7 litre of water is added, new quantity of water = 14 litre

New ratio of milk and water = 28:14 = 2:1

Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture

3 2419
Q:

A beaker contains acid and water in the ratio 1 : x. When 300 ml of the mixture and 50 ml of water are mixed, the ratio of acid and water becomes 2 : 5. What is the value of x?

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

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

3 2320