{"id":72871,"date":"2023-12-26T16:19:51","date_gmt":"2023-12-26T10:49:51","guid":{"rendered":"https:\/\/www.practicemock.com\/blog\/?p=72871"},"modified":"2025-11-25T15:13:12","modified_gmt":"2025-11-25T09:43:12","slug":"practice-mixture-alligation-questions-for-mains-exams","status":"publish","type":"post","link":"https:\/\/www.practicemock.com\/blog\/practice-mixture-alligation-questions-for-mains-exams\/","title":{"rendered":"Practice Mixture & Alligation Questions for Mains Exams"},"content":{"rendered":"\n

Mixture and Alligation is one important concept for which candidates must practice questions in order to ace the reasoning section. In this blog we are going to provide aspirants with Practice Mixture & Alligation Questions for Mains Exams. Since RBI Assistant mains exam is just around the corner these questions will surely help in building a strong conceptual foundation. Mentioned below are the basics and few properties of Mixture and Alligations along with practice questions and answers.\u00a0<\/p>\n\n\n\n

RBI Assistant Mains free mock 2023<\/a><\/p>\n\n\n\n

Basics:<\/strong><\/p>\n\n\n\n

When two or more substance\/elements are mixed in a certain ratio, the resultant compound is known as a mixture.<\/p>\n\n\n\n

Properties of a mixture:<\/strong><\/p>\n\n\n\n

Suppose a \u2018L\u2019 litre mixture consists of two elements \u2018a\u2019 and \u2018b\u2019 in the ratio p:q, respectively. If \u2018M\u2019 litres of the mixture is taken out, then in those \u2018M\u2019 litres, the ratio of quantities of elements \u2018a\u2019 and \u2018b\u2019 is in the same ratio i.e. p:q, respectively. Essentially, all mixtures are assumed to be homogenous unless stated otherwise.<\/p>\n\n\n\n

I:<\/strong><\/p>\n\n\n\n

If a 100 litre mixture consists of two elements \u2018a\u2019 and \u2018b\u2019 in the ratio p:q, respectively and 40 litres of the mixture is taken out from it, then,<\/p>\n\n\n\n

Quantity of element \u2018a\u2019 taken out = 40 \u00d7 {p\/(p + q)} litres<\/p>\n\n\n\n

Quantity of element \u2018b\u2019 taken out = 40 \u00d7 {q\/(p + q)} litres<\/p>\n\n\n\n

Mixture replacement:<\/strong><\/p>\n\n\n\n

Suppose a 100 litre mixture consists of two elements \u2018a\u2019 and \u2018b\u2019 in the ratio p:q, respectively.<\/p>\n\n\n\n

Then, quantity of element \u2018a\u2019 in the mixture =<\/p>\n\n\n\n

Quantity of element \u2018b\u2019 in the mixture =<\/p>\n\n\n\n

If \u2018x%\u2019 of the mixture is replaced with an equal quantity of element \u2018a\u2019,<\/p>\n\n\n\n

Then, quantity of element \u2018a\u2019 in the resultant mixture =<\/p>\n\n\n\n

Quantity of element \u2018b\u2019 in the resultant mixture =<\/p>\n\n\n\n

Replacing \u2018x%\u2019 of a pure element with element \u2018b\u2019 and repeating the process \u2018n\u2019 times:<\/strong><\/p>\n\n\n\n

Suppose a container contains 100 units of pure element \u2018a\u2019.<\/p>\n\n\n\n

If \u2018x%\u2019 of the pure element is removed and is replaced with an equal quantity of element \u2018b\u2019 and this process is repeated \u2018n\u2019 times, then quantity of element \u2018a\u2019 remaining in the mixture is given by<\/p>\n\n\n\n

100 \u00d7 {1 \u2013 (x\/100)}n<\/sup> units<\/p>\n\n\n\n

RBI Assistant Mains free mock 2023<\/a><\/p>\n\n\n\n

Alligation:<\/strong><\/p>\n\n\n\n

Alligation is a method which gives us the ratio in which two different mixtures must be mixed to obtain a third mixture in the desired proportion. Alligation can also be used to find the ratio in which elements with two different prices must be mixed to obtain a mixture in the desired price.<\/p>\n\n\n\n

I:<\/strong><\/p>\n\n\n\n

Let mixture \u2018A\u2019 consist of two elements \u2018a\u2019 and \u2018b\u2019 where the proportion of element \u2018a\u2019 in the mixture is (m\/100)<\/p>\n\n\n\n

Let mixture \u2018B\u2019 consist of the same two elements \u2018a\u2019 and \u2018b\u2019 where the proportion of element \u2018b\u2019 in the mixture is (n\/100)<\/p>\n\n\n\n

Then, ratio of quantities in which mixtures \u2018A\u2019 and \u2018B\u2019 must be respectively mixed to obtain a proportion of (p\/100) [where m > p > n] is given by:<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

RBI Assistant Mains free mock 2023<\/a><\/p>\n\n\n\n

Practice Mixture & Alligation Questions for Mains Exams<\/h2>\n\n\n\n

Question 1:<\/strong> Total population of a town was 3000 in 2011. In 2012, male population was increased by 12% while female population was increased by 18% and total population in 2012 becomes 3435. Find the number of females in the town in 2012.<\/p>\n\n\n\n

A) 1960<\/p>\n\n\n\n

B) 1750<\/p>\n\n\n\n

C) 1250<\/p>\n\n\n\n

D) 1475<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

Question 2:<\/strong> A mixture contains 120 litres acetone and rest water. 35% of mixture is taken out and 7 litres of water is added to it such that the ratio of acetone to water in 35% of the mixture becomes 2:1. Find the quantity of water in the initial mixture.<\/p>\n\n\n\n

A) 40 litres<\/p>\n\n\n\n

B) 25 litres<\/p>\n\n\n\n

C) 60 litres<\/p>\n\n\n\n

D) 30 litres<\/p>\n\n\n\n

E) Cannot be determined<\/p>\n\n\n\n

Question 3:<\/strong> 480 litres of a mixture contains milk to water in the ratio of 5:x. If after addition of 20 litres of water to it, the ratio of milk to water in resultant mixture becomes 3:2, then find the quantity water in the initial mixture.<\/p>\n\n\n\n

A) 300 litres<\/p>\n\n\n\n

B) 180 litres<\/p>\n\n\n\n

C) 210 litres<\/p>\n\n\n\n

D) 240 litres<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

Question 4:<\/strong> A mixture contains milk and water in the ratio of 13:12 respectively. If 40% of mixture is taken out and 47 ml of milk and 40 ml of water is added then the ratio of milk and water in the resulting solution becomes 11:10. Find the quantity of mixture taken out.<\/p>\n\n\n\n

A) 200 ml<\/p>\n\n\n\n

B) 250 ml<\/p>\n\n\n\n

C) 350 ml<\/p>\n\n\n\n

D) 300 ml<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

RBI Assistant Mains free mock 2023<\/a><\/p>\n\n\n\n

Question 5:<\/strong> 144 kg of mixture \u2018A\u2019 contains only sugar and salt in the ratio of 7:5, respectively. 87 kg of mixture \u2018B\u2019 (salt + pepper) contains 65% as much salt as in mixture \u2018A\u2019. If mixtures \u2018A\u2019 and \u2018B\u2019 are mixed entirely along with 21 kg of salt, then what will be the ratio of quantity of salt to that of pepper in the resultant mixture?<\/p>\n\n\n\n

A) 5:3<\/p>\n\n\n\n

B) 5:2<\/p>\n\n\n\n

C) 6:5<\/p>\n\n\n\n

D) 7:4<\/p>\n\n\n\n

E) 7:5<\/p>\n\n\n\n

Question 6:<\/strong> Mixture \u2018A\u2019 contains alcohol and water only in the ratio 9:7 respectively while mixture \u2018B\u2019 contains water and alcohol in the ratio of 3:5, respectively. Total quantity of mixture \u2018A\u2019 is 240 litres while the quantity of alcohol in mixture \u2018B\u2019 is 25 litres more than that in mixture \u2018A\u2019. Find quantity of water in mixture \u2018B\u2019.<\/p>\n\n\n\n

A) 96 litres<\/p>\n\n\n\n

B) 72 litres<\/p>\n\n\n\n

C) 108 litres<\/p>\n\n\n\n

D) 112 litres<\/p>\n\n\n\n

E) 124 litres<\/p>\n\n\n\n

Question 7:<\/strong> Mixture of milk and water in vessel A is in the ratio of 3:2 and milk and water in vessel B is in the ratio of 5:4, respectively. If 25 litres of mixture taken out from vessel A and poured into vessel B so that ratio of milk to water in vessel B changes to 23:18, then find initial quantity of water (in litres) in vessel A, if new quantity of mixture in vessel B is 85 litres more than initial quantity of mixture in vessel A.<\/p>\n\n\n\n

A) 36 litres<\/p>\n\n\n\n

B) 48 litres<\/p>\n\n\n\n

C) 54 litres<\/p>\n\n\n\n

D) 64 litres<\/p>\n\n\n\n

E) 72 litres<\/p>\n\n\n\n

RBI Assistant Mains free mock 2023<\/a><\/p>\n\n\n\n

Question 8:<\/strong> A vessel contains only water. x% of the water is taken out of the vessel and replaced with milk. Now x% of the mixture is taken out of the vessel and replaced with milk. This process is further repeated one more time. Find the value of \u2018x\u2019 if the percentage of the milk in the resultant mixture is 48.8%.<\/p>\n\n\n\n

A) 10%<\/p>\n\n\n\n

B) 20%<\/p>\n\n\n\n

C) 30%<\/p>\n\n\n\n

D) 40%<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

Question 9:<\/strong> A piece of alloy contains brass and bronze mixed in the ratio of 7:6 respectively. The alloy is melted in the furnace and 91 g of the alloy is taken out of it and replaced with 60 g bronze so that the ratio of the brass to bronze in the alloy thus formed becomes 3:4. Find the initial quantity of the alloy.<\/p>\n\n\n\n

A) 299 g<\/p>\n\n\n\n

B) 312 g<\/p>\n\n\n\n

C) 325 g<\/p>\n\n\n\n

D) 338 g<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

Question 10:<\/strong> 360 litres of mixture of milk and water is poured into a vessel of sufficiently large quantity in the ratio of 5:3, respectively. If (x + 25) litres of additional water is added to the vessel, then the ratio of milk and water in the final mixture becomes 9:8, respectively. Find the value of \u2018x\u2019.<\/p>\n\n\n\n

A) 20<\/p>\n\n\n\n

B) 25<\/p>\n\n\n\n

C) 30<\/p>\n\n\n\n

D) 40<\/p>\n\n\n\n

E) 50<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 1:<\/strong> 2011 \u092e\u0947\u0902 \u090f\u0915 town \u0915\u0940 \u0915\u0941\u0932 \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e 3000 \u0925\u0940\u0964 2012 \u092e\u0947\u0902 \u092a\u0941\u0930\u0941\u0937 \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u092e\u0947\u0902 12% \u0915\u0940 \u0935\u0943\u0926\u094d\u0927\u093f \u0939\u0941\u0908, \u091c\u092c\u0915\u093f \u092e\u0939\u093f\u0932\u093e \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e \u092e\u0947\u0902 18% \u0915\u0940 \u0935\u0943\u0926\u094d\u0927\u093f \u0939\u0941\u0908 \u0914\u0930 2012 \u092e\u0947\u0902 \u0915\u0941\u0932 \u091c\u0928\u0938\u0902\u0916\u094d\u092f\u093e 3435 \u0939\u094b \u0917\u0908\u0964 2012 \u092e\u0947\u0902 town \u092e\u0947\u0902 \u092e\u0939\u093f\u0932\u093e\u0913\u0902 \u0915\u0940 \u0938\u0902\u0916\u094d\u092f\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902?<\/p>\n\n\n\n

A) 1960<\/p>\n\n\n\n

B) 1750<\/p>\n\n\n\n

C) 1250<\/p>\n\n\n\n

D) 1475<\/p>\n\n\n\n

E) \u0907\u0928\u092e\u0947\u0902 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 2:<\/strong> \u090f\u0915 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 120 litres acetone \u0914\u0930 \u0936\u0947\u0937 water \u0939\u0948|35% \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u094b \u092c\u093e\u0939\u0930 \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u092e\u0947\u0902 7 litres water \u092e\u093f\u0932\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u0938\u0947 \u0915\u093f 35% \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 acetone \u0914\u0930 water \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 2:1 \u0939\u0948|\u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 water \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902|<\/p>\n\n\n\n

A) 40 litres<\/p>\n\n\n\n

B) 25 litres<\/p>\n\n\n\n

C) 60 litres<\/p>\n\n\n\n

D) 30 litres<\/p>\n\n\n\n

E) \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0928\u0939\u0940\u0902 \u0915\u093f\u092f\u093e \u091c\u093e \u0938\u0915\u0924\u093e<\/p>\n\n\n\n

RBI Assistant Mains free mock 2023<\/a><\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 3:<\/strong> 480 litres \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 \u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 5:x \u0939\u0948|\u0907\u0938\u092e\u0947\u0902 20 litres \u092a\u093e\u0928\u0940 \u092e\u093f\u0932\u093e\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926 \u092a\u0930\u093f\u0923\u093e\u092e\u0940 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 \u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 3:2 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 \u092a\u093e\u0928\u0940 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902|<\/p>\n\n\n\n

A) 300 litres<\/p>\n\n\n\n

B) 180 litres<\/p>\n\n\n\n

C) 210 litres<\/p>\n\n\n\n

D) 240 litres<\/p>\n\n\n\n

E) \u0907\u0928\u092e\u0947 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 4:<\/strong> \u090f\u0915 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 \u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 13:12 \u0939\u0948|\u092f\u0926\u093f 40% \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u094b \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 47ml \u0926\u0942\u0927 \u0914\u0930 40ml \u092a\u093e\u0928\u0940 \u091c\u094b\u0921\u093c\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u092a\u0930\u093f\u0923\u093e\u092e\u0940 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 \u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 11:10 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948|\u0928\u093f\u0915\u093e\u0932\u0947 \u0917\u090f \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902|<\/p>\n\n\n\n

A) 200 ml<\/p>\n\n\n\n

B) 250 ml<\/p>\n\n\n\n

C) 350 ml<\/p>\n\n\n\n

D) 300 ml<\/p>\n\n\n\n

E) \u0907\u0928\u092e\u0947 \u0938\u0947 \u0915\u094b\u0908 \u0928\u0939\u0940\u0902<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 5:<\/strong> 144 kg \u092e\u093f\u0936\u094d\u0930\u0923 ‘A’ \u092e\u0947\u0902 \u0915\u0947\u0935\u0932 \u091a\u0940\u0928\u0940 \u0914\u0930 \u0928\u092e\u0915 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 7:5 \u0939\u0948\u0964 87 kg \u092e\u093f\u0936\u094d\u0930\u0923 ‘B’ (\u0928\u092e\u0915 + \u0915\u093e\u0932\u0940 \u092e\u093f\u0930\u094d\u091a) \u092e\u0947\u0902 \u0928\u092e\u0915 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u092e\u093f\u0936\u094d\u0930\u0923 ‘A’ \u092e\u0947\u0902 \u0928\u092e\u0915 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0915\u093e 65% \u0939\u0948\u0964 \u092f\u0926\u093f \u092e\u093f\u0936\u094d\u0930\u0923 ‘A’ \u0914\u0930 ‘B’ \u0915\u094b \u092a\u0942\u0930\u0940 \u0924\u0930\u0939 \u0938\u0947 21kg \u0928\u092e\u0915 \u0915\u0947 \u0938\u093e\u0925 \u092e\u093f\u0932\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u092a\u0930\u093f\u0923\u093e\u092e\u0940 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 \u0928\u092e\u0915 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0914\u0930 \u0915\u093e\u0932\u0940 \u092e\u093f\u0930\u094d\u091a \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u093f\u0924\u0928\u093e \u0939\u094b\u0917\u093e?<\/p>\n\n\n\n

A) 5:3<\/p>\n\n\n\n

B) 5:2<\/p>\n\n\n\n

C) 6:5<\/p>\n\n\n\n

D) 7:4<\/p>\n\n\n\n

E) 7:5<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 6:<\/strong> \u092e\u093f\u0936\u094d\u0930\u0923 ‘A’ \u092e\u0947\u0902 \u0915\u0947\u0935\u0932 \u0905\u0932\u094d\u0915\u094b\u0939\u0932 \u0914\u0930 \u092a\u093e\u0928\u0940 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 9:7 \u0939\u0948 \u091c\u092c\u0915\u093f \u092e\u093f\u0936\u094d\u0930\u0923 ‘B’ \u092e\u0947\u0902 \u092a\u093e\u0928\u0940 \u0914\u0930 \u0905\u0932\u094d\u0915\u094b\u0939\u0932 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 3:5 \u0939\u0948\u0964 \u092e\u093f\u0936\u094d\u0930\u0923 ‘A’ \u0915\u0940 \u0915\u0941\u0932 \u092e\u093e\u0924\u094d\u0930\u093e 240 litres \u0939\u0948 \u091c\u092c\u0915\u093f \u092e\u093f\u0936\u094d\u0930\u0923 ‘B’ \u092e\u0947\u0902 \u0905\u0932\u094d\u0915\u094b\u0939\u0932 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u092e\u093f\u0936\u094d\u0930\u0923 ‘A’ \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 25 litres\u0905\u0927\u093f\u0915 \u0939\u0948\u0964 \u092e\u093f\u0936\u094d\u0930\u0923 ‘B’ \u092e\u0947\u0902 \u092a\u093e\u0928\u0940 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902\u0964<\/p>\n\n\n\n

A) 96 litres<\/p>\n\n\n\n

B) 72 litres<\/p>\n\n\n\n

C) 108 litres<\/p>\n\n\n\n

D) 112 litres<\/p>\n\n\n\n

E) 124 litres<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 7:<\/strong> vessel A \u092e\u0947\u0902 \u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940 \u0915\u093e \u092e\u093f\u0936\u094d\u0930\u0923 3: 2 \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924 \u092e\u0947\u0902 \u0939\u0948 \u0914\u0930 vessel B \u092e\u0947\u0902 \u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940 \u0915\u094d\u0930\u092e\u0936\u0903 5: 4 \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924 \u092e\u0947\u0902 \u0939\u0948\u0964 \u092f\u0926\u093f vessel A \u0938\u0947 25 litres \u092e\u093f\u0936\u094d\u0930\u0923 \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u090f \u0914\u0930 vessel B \u092e\u0947\u0902 \u0921\u093e\u0932 \u0926\u093f\u092f\u093e \u091c\u093e\u090f \u0924\u093e\u0915\u093f vessel B \u092e\u0947\u0902 \u092a\u093e\u0928\u0940 \u0914\u0930 \u0926\u0942\u0927 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 23:18 \u0939\u094b \u091c\u093e\u090f\u0917\u093e, \u0924\u094b vessel A \u092e\u0947\u0902 \u092a\u093e\u0928\u0940 \u0915\u0940 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u092e\u093e\u0924\u094d\u0930\u093e (litres \u092e\u0947\u0902) \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902, \u092f\u0926\u093f vessel B \u0915\u0947 \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u0940 \u0928\u092f\u0940 \u092e\u093e\u0924\u094d\u0930\u093e, vessel A \u092e\u0947\u0902 \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u0940 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u092e\u093e\u0924\u094d\u0930\u093e \u0938\u0947 85 litres \u0905\u0927\u093f\u0915 \u0939\u0948\u0964<\/p>\n\n\n\n

A) 36 litres<\/p>\n\n\n\n

B) 48 litres<\/p>\n\n\n\n

C) 54 litres<\/p>\n\n\n\n

D) 64 litres<\/p>\n\n\n\n

E) 72 litres<\/p>\n\n\n\n

RBI Assistant Mains free mock 2023<\/a><\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 8:<\/strong> \u090f\u0915 vessel \u092e\u0947\u0902 \u0915\u0947\u0935\u0932 water \u0939\u0948|x% water \u0915\u094b vessel \u0938\u0947 \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 milk \u0938\u0947 \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948|\u0905\u092c x% \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u094b vessel \u0938\u0947 \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 milk \u0938\u0947 \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948| \u0907\u0938 \u092a\u094d\u0930\u0915\u094d\u0930\u093f\u092f\u093e \u0915\u094b \u090f\u0915 \u092c\u093e\u0930 \u0914\u0930 \u0926\u094b\u0939\u0930\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948|\u2019x\u2019 \u0915\u093e \u092e\u093e\u0928 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902 \u092f\u0926\u093f \u092a\u0930\u093f\u0923\u093e\u092e\u0940 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 milk \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0936\u0924 48.8% \u0939\u0948|<\/p>\n\n\n\n

A) 10%<\/p>\n\n\n\n

B) 20%<\/p>\n\n\n\n

C) 30%<\/p>\n\n\n\n

D) 40%<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 9:<\/strong> \u090f\u0915 alloy \u092e\u0947\u0902 brass \u0914\u0930 bronze \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 7:6 \u0939\u0948|Alloy \u0915\u094b \u090f\u0915 furnace \u092e\u0947\u0902 \u092a\u093f\u0918\u0932\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u092e\u0947\u0902 \u0938\u0947 91kg alloy \u0915\u094b \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 60kg bronze \u0938\u0947 \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938 \u0924\u0930\u0939 alloy \u092e\u0947\u0902 brass \u0914\u0930 bronze \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 3:4 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948|Alloy \u0915\u0940 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u092e\u093e\u0924\u094d\u0930\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902|<\/p>\n\n\n\n

A) 299 g<\/p>\n\n\n\n

B) 312 g<\/p>\n\n\n\n

C) 325 g<\/p>\n\n\n\n

D) 338 g<\/p>\n\n\n\n

E) None of these<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 10:<\/strong> Milk \u0914\u0930 water \u0915\u0947 360 litres \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u094b \u090f\u0915 \u092c\u0921\u093c\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0935\u093e\u0932\u0947 vessel \u092e\u0947\u0902 \u0921\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0914\u0930 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 milk \u0914\u0930 water \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 5:3 \u0939\u0948|\u092f\u0926\u093f vessel \u092e\u0947\u0902 (x + 25) litres water \u092e\u093f\u0932\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b \u0905\u0902\u0924\u093f\u092e \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 milk \u0914\u0930 water \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 9:8 \u0939\u094b \u091c\u093e\u090f\u0917\u093e|\u2019x\u2019 \u0915\u093e \u092e\u093e\u0928 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902|<\/p>\n\n\n\n

A) 20<\/p>\n\n\n\n

B) 25<\/p>\n\n\n\n

C) 30<\/p>\n\n\n\n

D) 40<\/p>\n\n\n\n

E) 50<\/p>\n\n\n\n

RBI Assistant Mains free mock 2023<\/a><\/p>\n\n\n\n

ANSWER KEYS and SOLUTIONS:<\/strong><\/h4>\n\n\n\n
1) – D)<\/td>2) – A)<\/td>3) – B)<\/td>4) – B)<\/td>5) – B)<\/td>6) – A)<\/td><\/tr>
7) – B)<\/td>8) – B)<\/td>9) – C)<\/td>10) – D)<\/td> <\/td> <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Solution 1: D)<\/strong><\/p>\n\n\n\n

Overall increase in population of the town in 2012 = [(3435 \u2013 3000)\/3000] \u00d7 100 = 14.5%<\/p>\n\n\n\n

So, number of females in the town in 2011 = 5\/12 \u00d7 3000 = 1250<\/p>\n\n\n\n

Number of females in 2012 = 1.18 \u00d7 1250 = 1475<\/p>\n\n\n\n

Hence, option d.<\/p>\n\n\n\n

Solution 2: A)<\/strong><\/p>\n\n\n\n

Let the quantity of water in the initial mixture be \u2018x\u2019 litres<\/p>\n\n\n\n

According to the question,<\/p>\n\n\n\n

(0.35 \u00d7 120)\/(0.35x + 7) = 2\/1<\/p>\n\n\n\n

Or, 42\/(0.35x + 7) = 2\/1<\/p>\n\n\n\n

Or, 0.35x + 7 = 21<\/p>\n\n\n\n

Or, x = 14\/0.35 = 40 litres<\/p>\n\n\n\n

Therefore, quantity of water in the initial mixture = 40 litres<\/p>\n\n\n\n

Hence, option a.<\/p>\n\n\n\n

Solution 3: B)<\/strong><\/p>\n\n\n\n

The quantity of milk in mixture = [5\/(5 + x)] \u00d7 480 = 2400\/(5 + x)<\/p>\n\n\n\n

So, quantity of water in mixture = [x\/(5 + x)] \u00d7 480 = 480x\/(5 + x)<\/p>\n\n\n\n

According to question,<\/p>\n\n\n\n

2400\/(5 + x): [480x\/(5 + x) + 20] = 3:2<\/p>\n\n\n\n

4800\/(5 + x) = (480x \u00d7 3)\/(5 + x) + 60<\/p>\n\n\n\n

4800 = 1440x + 300 + 60x<\/p>\n\n\n\n

1500x = 4800 \u2013 300 = 4500<\/p>\n\n\n\n

x = 4500\/1500<\/p>\n\n\n\n

x = 3<\/p>\n\n\n\n

Quantity of water in the original mixture = 3\/8 \u00d7 480 = 180 litres<\/p>\n\n\n\n

Hence, option b.<\/p>\n\n\n\n

RBI Assistant Mains free mock 2023<\/a><\/p>\n\n\n\n

Solution 4: B)<\/strong><\/p>\n\n\n\n

Let the quantity of milk and water in the mixture be 13x ml and 12x ml, respectively.<\/p>\n\n\n\n

When 40% of mixture is taken out,<\/p>\n\n\n\n

Quantity of milk in the mixture = 0.6 \u00d7 13x = 7.8x ml<\/p>\n\n\n\n

Quantity of water in the mixture = 0.6 \u00d7 12x = 7.2x ml<\/p>\n\n\n\n

Quantity of mixture taken out = 0.4 \u00d7 (13x +12x) = 10x ml<\/p>\n\n\n\n

According to question,<\/p>\n\n\n\n

(7.8x + 47)\/(7.2x + 40) = 11\/10<\/p>\n\n\n\n

78x + 470 = 79.2x + 440<\/p>\n\n\n\n

1.2x = 30<\/p>\n\n\n\n

x = 25<\/p>\n\n\n\n

Quantity of mixture taken out = 25 \u00d7 10 = 250 ml<\/p>\n\n\n\n

Hence, option b.<\/p>\n\n\n\n

Solution 5: B)<\/strong><\/p>\n\n\n\n

Quantity of sugar in mixture \u2018A\u2019 = 144 \u00d7 (7\/12) = 84 kg<\/p>\n\n\n\n

Quantity of salt in mixture \u2018A\u2019 = 144 \u00d7 (5\/12) = 60 kg<\/p>\n\n\n\n

Quantity of salt in mixture \u2018B\u2019 = 60 \u00d7 (65\/100) = 39 kg<\/p>\n\n\n\n

So, quantity of pepper in mixture \u2018B\u2019 = 87 \u2013 39 = 48 kg<\/p>\n\n\n\n

After mixing mixtures \u2018A\u2019 and \u2018B\u2019 entirely along with 21 kg of salt, ratio of quantity of salt to that of pepper = (60 + 39 + 21):48 = 120:48 = 5:2<\/p>\n\n\n\n

Hence, option b.<\/p>\n\n\n\n

Solution 6: A)<\/strong><\/p>\n\n\n\n

Let the quantity of alcohol in mixture \u2018A\u2019 = 9x kg<\/p>\n\n\n\n

Then, quantity of water in mixture \u2018A\u2019 = 7x kg<\/p>\n\n\n\n

According to the question,<\/p>\n\n\n\n

9x + 7x = 240<\/p>\n\n\n\n

Or, x = 240\/16 = 15<\/p>\n\n\n\n

Total quantity of alcohol in mixture \u2018B\u2019 = 9x + 25 = 135 + 25 = 160 litres<\/p>\n\n\n\n

Quantity of water in mixture \u2018B\u2019 = 160 \u00d7 (3\/5) = 96 litres<\/p>\n\n\n\n

Hence, option a.<\/p>\n\n\n\n

Solution 7: B)<\/strong><\/p>\n\n\n\n

Let, Initial quantity (in litres) of milk and water in vessel B be 5x and 4x, respectively.<\/p>\n\n\n\n

According to question,<\/p>\n\n\n\n

[5x + (3\/5) \u00d7 25]\/[4x + (2\/5) \u00d7 25] = 23\/18<\/p>\n\n\n\n

[5x + 15]\/[4x + 10] = 23\/18<\/p>\n\n\n\n

90x + 270 = 92x + 230<\/p>\n\n\n\n

2x = 40, x = 20<\/p>\n\n\n\n

Therefore, total initial quantity of mixture in vessel B = 20(5 + 4) = 180 litres<\/p>\n\n\n\n

So, initial quantity of mixture in vessel A = (180 + 25) \u2013 85 = 120 litres<\/p>\n\n\n\n

Therefore, initial quantity of water in vessel A = (2\/5) \u00d7 120 = 48 litres<\/p>\n\n\n\n

Hence, option b.<\/p>\n\n\n\n

RBI Assistant Mains free mock 2023<\/a><\/p>\n\n\n\n

Solution 8: B)<\/strong><\/p>\n\n\n\n

Let the initial quantity of water in the vessel = 100 litres<\/p>\n\n\n\n

Quantity of milk in the resultant mixture = 100 \u00d7 48.8 = 48.8 litres<\/p>\n\n\n\n

So the quantity of water in the resultant mixture = 100 \u2013 48.8 = 51.2 litres<\/p>\n\n\n\n

According to question: 100 \u00d7 (1 \u2013 x\/100)3<\/sup> = 51.2<\/p>\n\n\n\n

(100 \u2013 x)3<\/sup> = 512000<\/p>\n\n\n\n

100 \u2013 x = 80, x = 20<\/p>\n\n\n\n

So the value of \u2018x\u2019 = 20%<\/p>\n\n\n\n

Hence, option b.<\/p>\n\n\n\n

Solution 9: C)<\/strong><\/p>\n\n\n\n

Let the initial quantities of brass and bronze in the alloy are 7x g and 6x g respectively.<\/p>\n\n\n\n

91 g alloy contains 49 g brass and 42 g bronze<\/p>\n\n\n\n

According to the question: (7x \u2013 49)\/ (6x \u2013 42 + 60) = 3\/4<\/p>\n\n\n\n

28x \u2013 196 = 18x + 54<\/p>\n\n\n\n

10x = 250, x = 25<\/p>\n\n\n\n

So the initial quantity of alloy = 25 \u00d7 13 = 325 g<\/p>\n\n\n\n

Hence, option c.<\/p>\n\n\n\n

Solution 10: D)<\/strong><\/p>\n\n\n\n

Quantity of milk initially in vessel = (5\/8) \u00d7 360 = 225 litres<\/p>\n\n\n\n

So, quantity of water initially in vessel = (3\/8) \u00d7 360 = 135 litres<\/p>\n\n\n\n

According to question,<\/p>\n\n\n\n

225\/ (135 + x + 25) = 9\/8<\/p>\n\n\n\n

25 \u00d7 8 = 160 + x<\/p>\n\n\n\n

x = 200 \u2013 160<\/p>\n\n\n\n

x = 40<\/p>\n\n\n\n

Hence, option d.<\/p>\n\n\n\n

RBI Assistant Mains free mock 2023<\/a><\/p>\n\n\n\n

This brings us to the end of the mixture and alligation questions and answers blog. Stay tuned for more such practice questions based on different concepts.<\/p>\n\n\n\n

Disclaimer:<\/strong> This article has been prepared for informational and educational purposes only, based on previous exam trends, expert analysis, and publicly available data. It is not an official notification, and the respective exam conducting authorities have not endorsed or released the content herein. While every effort has been made to ensure accuracy, exam patterns and question types may change, and readers are advised to verify details with official updates from the conducting authorities. The practice material and predictions provided are intended to support preparation and should not be considered guaranteed exam content. Neither the authors nor PracticeMock accept responsibility for any discrepancies, errors, or outcomes arising from reliance on this article. For official information, please refer to the notifications released by the exam conducting authorities.<\/p>\n","protected":false},"excerpt":{"rendered":"

Read and practice these Practice Mixture & Alligation Questions for Mains Exams. Attempt RBI Assistant mains free mock test<\/p>\n","protected":false},"author":2,"featured_media":188384,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_uag_custom_page_level_css":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[2],"tags":[],"class_list":["post-72871","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-rbi-assistant"],"yoast_head":"\nPractice Mixture & Alligation Questions for Mains Exams - Practicemock<\/title>\n<meta name=\"description\" content=\"Read and practice these Practice Mixture & Alligation Questions for Mains Exams. 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