Friday, 19 May 2017

Mixtures and Alligation II – Mixtures and Alligation Questions Solved for IBPS PO Exam

In this post, we have discussed few Mixtures and Alligation questions that are frequently asked in IBPS PO Exam.
Mixtures and Alligation


Mixtures and Alligation questions are often asked in  IBPS PO Exam. Mixtures and Alligation Questions are often skipped due to the time taken by them, but these questions can be solved in IBPS PO Exam by using mixture and alligation formula and alligation rule.

In our previous post,- Mixtures and Alligation I - Introduction and formulas to solve Mixtures and Alligation Questions we have discussed the topic of mixtures and alligation and solved few simple questions using mixtures and alligation formula. In this post, we will discuss mixtures and alligation questions on compound mixtures along with removal and replacement.

Model 2: Mixtures and Alligation Questions on Compound Mixtures for IBPS PO Exam

Example 1: Mixtures and Alligation Questions on Compound Mixtures for IBPS PO  Exam
                                                      
Question: An alloy of zinc and tin contains 35% of zinc by weight. What quantity of zinc must be added to 400 lb of this alloy such that there is 60% of zinc by weight in the final mixture?

Solution:
Step 1: To solve this mixture and alligation question we need to first represent the question in a pictorial form using alligation rule.
Mixtures and Alligation
Mixtures and Alligation
Step 2: 
As we now know the ratio, we can find the quantity of zinc that is to be added, i.e. 
Q1/Q2 = 8/5
400/Q2 = 8/5 
Q2 = 250lb

Therefore, 250 lb quantity of zinc is added to 400lb  of the alloy. 


Example 2:Mixtures and Alligation Questions on Compound Mixtures for IBPS PO  Exam

Question: Two vessels A and B contain mixtures of milk and water. The ratio of milk and water in these two vessels is 5:2 and 8:5 respectively. In what ratio must these mixtures be mixed to form a new mixture containing milk and water 9:4 ratio?

Solution:
Step 1:
Milk A = 5/7 ( 5 + 2 = 7, as we need the quantity of milk)
Milk B = 8/13 ( 8 + 5 = 13, as we need the quantity of milk)
Milk M = 9/13 ( 9 + 4 = 13, as we need the quantity of milk)

Step 2:
                         Mixtures and Alligation
Therefore, 7:2 is the ratio in which these mixtures are to be mixed to form a new mixture.
Mixtures and Alligation

Module 3: Mixtures and Alligation Questions on Removal and Replacement for IBPS PO Exam

Let a vessel contain ‘a’ litres of milk from which ‘b’ litres is withdrawn and replaced with water. If this operation of removal and replacement is performed ‘n’ times, then the quantity of milk in the vessel after ‘n’ operations will be equal to
Mixtures and Alligation
Example 1: Mixtures and Alligation Questions on Removal and Replacement for IBPS PO Exam
A container has 40 litres of wine from this container, 4 litres of wine is taken out and replaced with water. This process is repeated two or more times. What will be the final quantity of water in the container?

Solution:
Step 1:
a = 40
b = 4
n = 3

Step 2:
a [1 – (b/a)]n
= 40[1 – (4/40]3
= 40(9/10)3
= 2916 x 10 /1000
= 29.16 litres of wine

Step 3:
Final water = Total – quantity of wine
Final water = 40 – 29.16 = 10.84.
Therefore, the final water in the vessel is 10.84 litres.

Do write in the comment section how this blog helped you to solve mixtures and alligation questions for IBPS PO Exam.

Stay tuned for more on Mixtures and Alligation Questions for IBPS PO Exam.
Mixtures and Alligation
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