Important Questions with Short Tricks on Mixture & Alligation For SSC Exams

By Neha Uppal|Updated : March 11th, 2021

Mixture & Alligation, one of the important topics from the exam point of view as the questions from this unit, are a bit tricky and need special attention. So we will discuss some important types and how to solve them with a shortcut approach.

Mixture & Alligation, one of the important topics from the exam point of view as the questions from this unit, are a bit tricky and need special attention. So we will discuss some important types and how to solve them with a shortcut approach.

5 Most Important Questions with Short Tricks on Mixture & Alligation For SSC Exams

Question 1: In a mixture of 75 litres, the ratio of milk to water is 2: 1. The amount of water to be further added to the mixture so as to make the ratio of the milk to water 1: 2 will be

(1) 45 litres

(2)  60 litres

(3)  75 litres

(4)  80 litres

Solution: 

In 75 litres of the mixture.

image001

Let x litres of water be added,

image002

Short Trick:

image003

3 units = 75 l because 75 l was in ratio 2: 1 initially.

Question 2: A mixture of 40 litres of milk and water contains 10% water. How much water must be added to make 20% water in the new mixture?

(1)  3 litres

(2)  4 litres

(3)  5 litres

(4)  6 litres

Solution 

image004

(8 x 5 = 40 l which is the initial quantity. Hence 1 is also multiplied by 5)

Short Trick:

(40 + x) x 20% = 4 + x

x = 5l

Question 3: In three vessels each of 10 l capacity, mixture of milk and water is filled, the ratios of milk and water are 2 : 1, 3 : 1 and 3 : 2 in the three respective vessels, if all the three vessels are emptied into a single large vessel, find the proportion of milk and water in the mixture.

(1)  121 : 59

(2)  123 : 59

(3)  125 : 59

(4)  127 : 59

Solution:

image005

image006

2nd Method :

image007

image008

L.C.M. of 3, 4 & 5. Hence 3 is multiplied by 4 x 5; 4 is multiplied by 3 x 5; 5 is multiplied by 3 x 4.

Question 4: Vessels A and B contain mixtures of milk and water in the ratios 4: 5 and 5: 1 respectively. In what ratio should quantities of the mixture be taken from A and B to form a mixture in which milk and water are in the ratio 5: 4?

(1)  2 : 5

(2)  4 : 3

(3)  5 : 2

(4)  2 : 3

Solution: 

Quantity of milk in vessel A

image009

Quantity of milk in vessel B

image010

Quantity of milk in final mixture

image011

image012

So, mixture of vessels A and B are mixed in ratio of 5 : 2.

2nd Method :

image013

image014

Question 5: 50 g of an alloy of gold and silver contains 80% gold (by weight). The quantity of gold, that is to be mixed up with this alloy, so that it may contain 95% gold, is

(1)  200 g

(2)  150 g

(3)  50 g

(4)  10 g

Solution: 

Quantity of gold in the alloy

image015

Let x gm of gold is added, then

image016

Other Method: 

image017

1 unit when multiplied by 50 gives 50g. Hence 3 unit is also multiplied by 50.

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Posted by:

Neha UppalNeha UppalMember since Oct 2018
4+ Years of experience as a mentor and content developer for SSC & Railways exam. Cleared various exams including SSC CHSL & SSC CGL exams.
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MOHIT KUMAR

MOHIT KUMARApr 23, 2019

Precious year ke sare questions he iske alava new krao
Sagar Vishwakarma
I think ans of qn no 2 is wrong.
👇👇✔️✔️
10% of 40 is 4.
So 20% 40 is 8.
So 4 letre to be added. Ans- 4ltr
...Read More
Vijayalaxmi Pasagadugula
I have a small doudt
Gayatri Tankar
Thank you ma'm...😊
Ravi Kumar

Ravi KumarJan 27, 2020

Thanku sir
Ram Kumar

Ram KumarAug 20, 2020

New methods continue

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SSC & Railway

CGLSSC GDDFCCILCHSLCPONTPCMTSStenoGroup DOthersCoursesMock Test
tags :SSC & RailwayQuantitative AptitudeSSC CGL OverviewSSC CGL Exam DatesSSC CGL Apply OnlineSSC CGL Eligibility CriteriaSSC CGL Job Profile

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