{"id":64692,"date":"2023-10-20T11:57:39","date_gmt":"2023-10-20T06:27:39","guid":{"rendered":"https:\/\/www.practicemock.com\/blog\/?p=64692"},"modified":"2025-11-26T11:06:05","modified_gmt":"2025-11-26T05:36:05","slug":"mixture-alligation-preparation-tips-practice-questions-answer-key-detailed-solutions","status":"publish","type":"post","link":"https:\/\/www.practicemock.com\/blog\/mixture-alligation-preparation-tips-practice-questions-answer-key-detailed-solutions\/","title":{"rendered":"10 Mixture & Alligation Preparation Tips, Practice Questions, Answer Key & Detailed Solutions"},"content":{"rendered":"\n

There is yet another important concept in the quantitative aptitude section that is mixture and alligations. Here in this article we will be discussing about 10 Mixture & Alligation Preparation Tips, Practice Questions, Answer Key & Detailed Solutions. <\/p>\n\n\n\n

Mixture Basics:<\/strong><\/h3>\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

SBI PO Prelims 2023 Free Mock Test<\/a><\/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

SBI PO Prelims 2023 Free Mock Test<\/a><\/p>\n\n\n\n

Alligation Basics:<\/strong><\/h3>\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

10 Mixture & Alligation Preparation Tips, Practice Questions, Answer Key & Detailed Solutions<\/h2>\n\n\n\n

Question 1:<\/strong> A mixture contains milk and water in the ratio of 13:11 respectively. If 288 ml of mixture is taken out, and the 68 ml of milk and 120 ml of water is added in the remaining mixture, such that the ratio of milk to water in the resulting mixture becomes 8:9. Find the quantity of mixture initially.<\/p>\n\n\n\n

A) 648 ml<\/p>\n\n\n\n

B) 504 ml<\/p>\n\n\n\n

C) 432 ml<\/p>\n\n\n\n

D) 576 ml<\/p>\n\n\n\n

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

Question 2:<\/strong> 240 litres of a mixture (milk and water) contains milk and water in the ratio 7:5, respectively. 60 litres of mixture is withdrawn and is replaced with 60 litres of another mixture (milk and water) which contain 25% water. Find the ratio of milk to water in resultant mixture.<\/p>\n\n\n\n

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

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

C) 9:7<\/p>\n\n\n\n

D) 3:2<\/p>\n\n\n\n

E) 4:3<\/p>\n\n\n\n

SBI PO Prelims 2023 Free Mock Test<\/a><\/p>\n\n\n\n

Question 3:<\/strong> A 512 ml mixture contains milk and water in the ratio of 9:7, respectively. If 25% of mixture is taken out and 116 ml of another mixture containing milk and water in the ratio of 21:8, respectively is added into the remaining mixture then find the ratio of milk to water in the resultant mixture.<\/p>\n\n\n\n

A) 3:2<\/p>\n\n\n\n

B) 3:4<\/p>\n\n\n\n

C) 4:3<\/p>\n\n\n\n

D) 5:4<\/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 9:7 respectively. If 288 ml of mixture is taken out, and 38 ml of milk and 34 ml of water is added in the remaining mixture such that the ratio of milk to water in the resultant mixture becomes 5:4. Find the original quantity of mixture.<\/p>\n\n\n\n

A) 576 ml<\/p>\n\n\n\n

B) 720 ml<\/p>\n\n\n\n

C) 640 ml<\/p>\n\n\n\n

D) 800 ml<\/p>\n\n\n\n

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

Question 5:<\/strong> In a mixture of milk and water, quantity of milk is 20% more than that of water. If 33 litres of water is added to the mixture, then the quantity of water becomes 20% more than that of milk. Find the initial quantity of water.<\/p>\n\n\n\n

A) 45 litres<\/p>\n\n\n\n

B) 90 litres<\/p>\n\n\n\n

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

D) 75 litres<\/p>\n\n\n\n

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

Question 6:<\/strong> A mixture contains milk and water mixed in the ratio of 5:7 respectively. If 324 ml of mixture is taken out and replaced with 64 ml of milk then quantity of milk in the final mixture becomes 46 ml more than that of water. Find the original quantity of mixture.<\/p>\n\n\n\n

A) 648 ml<\/p>\n\n\n\n

B) 432 ml<\/p>\n\n\n\n

C) 456 ml<\/p>\n\n\n\n

D) 480 ml<\/p>\n\n\n\n

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

SBI PO Prelims 2023 Free Mock Test<\/a><\/p>\n\n\n\n

Question 7:<\/strong> A mixture contains milk and water in the ratio of 5:4 respectively. If 270 ml of mixture is taken out and 30 ml of milk and 108 ml of water is added into it then the quantity of milk in the final mixture will be 40% of the total quantity of mixture. Find the original quantity of mixture.<\/p>\n\n\n\n

A) 432 ml<\/p>\n\n\n\n

B) 324 ml<\/p>\n\n\n\n

C) 414 ml<\/p>\n\n\n\n

D) 450 ml<\/p>\n\n\n\n

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

Question 8:<\/strong> 432 ml of mixture A containing milk and water in the ratio of 13:11, respectively is mixed with 234 ml of mixture B (containing milk and water). If ratio of milk to water in the resultant mixture is 19:18, then find the ratio of milk to water in mixture B.<\/p>\n\n\n\n

A) 6:7<\/p>\n\n\n\n

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

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

D) 7:6<\/p>\n\n\n\n

E) 3:2<\/p>\n\n\n\n

Question 9:<\/strong> Mixture \u2018A\u2019 of lime juice and water contains 45% lime juice and rest water. \u2018x\u2019 ml of lime juice and 2x ml of water is added to mixture \u2018A\u2019 such that ratio of lime juice to water in the resultant mixture becomes 15:23. Find the ratio of the initial quantity of mixture \u2018A\u2019 to \u2018x\u2019.<\/p>\n\n\n\n

A) 5:4<\/p>\n\n\n\n

B) 10:3<\/p>\n\n\n\n

C) 8:3<\/p>\n\n\n\n

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

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

Question 10:<\/strong> Can \u2018A\u2019 contains mixture of oil and water in the ratio 5:2, respectively. When 80% of this mixture is replaced with 30 litres of water, the ratio of oil to water in can \u2018A\u2019 becomes 5:3. Find quantity of oil in can \u2018A\u2019 initially.<\/p>\n\n\n\n

A) 750 litres<\/p>\n\n\n\n

B) 450 litres<\/p>\n\n\n\n

C) 340 litres<\/p>\n\n\n\n

D) 850 litres<\/p>\n\n\n\n

E) 600 litres<\/p>\n\n\n\n

SBI PO Prelims 2023 Free Mock Test<\/a><\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 1:<\/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 13:11 \u0939\u0948\u0964\u092f\u0926\u093f 288ml \u092e\u093f\u0936\u094d\u0930\u0923 \u092c\u093e\u0939\u0930 \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0936\u0947\u0937 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 68 ml \u0926\u0942\u0927 \u0914\u0930 120 ml \u092a\u093e\u0928\u0940 \u0921\u093e\u0932\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 8: 9 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964\u092a\u094d\u0930\u093e\u0930\u0902\u092d \u092e\u0947\u0902 \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) 648 ml<\/p>\n\n\n\n

B) 504 ml<\/p>\n\n\n\n

C) 432 ml<\/p>\n\n\n\n

D) 576 ml<\/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 (\u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940) \u0915\u0947 240 litres \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 7: 5 \u0939\u0948\u096460 litres \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u094b \u0928\u093f\u0915\u093e\u0932 \u0932\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0907\u0938\u0947 \u090f\u0915 \u0905\u0928\u094d\u092f \u092e\u093f\u0936\u094d\u0930\u0923 (\u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940) \u0915\u0947 60 litres \u0938\u0947 \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u091c\u093f\u0938\u092e\u0947\u0902 25% \u092a\u093e\u0928\u0940 \u0939\u094b\u0924\u093e \u0939\u0948\u0964\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 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902?<\/p>\n\n\n\n

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

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

C) 9:7<\/p>\n\n\n\n

D) 3:2<\/p>\n\n\n\n

E) 4:3<\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 3:<\/strong> \u090f\u0915 512 ml \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 9: 7 \u0939\u0948\u0964\u092f\u0926\u093f \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u093e 25% \u092c\u093e\u0939\u0930 \u0928\u093f\u0915\u093e\u0932 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 \u0936\u0947\u0937 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 \u090f\u0915 \u0905\u0928\u094d\u092f 116ml \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u093f\u0932\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u092e\u0947 \u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 21: 8 \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 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902?<\/p>\n\n\n\n

A) 3:2<\/p>\n\n\n\n

B) 3:4<\/p>\n\n\n\n

C) 4:3<\/p>\n\n\n\n

D) 5:4<\/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 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 9: 7 \u0939\u0948\u0964\u092f\u0926\u093f 288ml \u092e\u093f\u0936\u094d\u0930\u0923 \u092c\u093e\u0939\u0930 \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0914\u0930 \u0936\u0947\u0937 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 38 ml \u0926\u0942\u0927 \u0914\u0930 34 ml \u092a\u093e\u0928\u0940 \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 \u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 5: 4 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948\u0964\u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u0940 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092e\u093e\u0924\u094d\u0930\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902?<\/p>\n\n\n\n

A) 576 ml<\/p>\n\n\n\n

B) 720 ml<\/p>\n\n\n\n

C) 640 ml<\/p>\n\n\n\n

D) 800 ml<\/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

SBI PO Prelims 2023 Free Mock Test<\/a><\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 5:<\/strong> \u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940 \u0915\u0947 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902, \u0926\u0942\u0927 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u092a\u093e\u0928\u0940 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0938\u0947 20% \u0905\u0927\u093f\u0915 \u0939\u094b\u0924\u0940 \u0939\u0948\u0964\u092f\u0926\u093f \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 33 litres \u092a\u093e\u0928\u0940 \u0921\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u092a\u093e\u0928\u0940 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0926\u0942\u0927 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0938\u0947 20% \u0905\u0927\u093f\u0915 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948\u0964\u092a\u093e\u0928\u0940 \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) 45 litres<\/p>\n\n\n\n

B) 90 litres<\/p>\n\n\n\n

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

D) 75 litres<\/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 6:<\/strong> \u090f\u0915 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 \u0915\u094d\u0930\u092e\u0936\u0903 5: 7 \u0915\u0947 \u0905\u0928\u0941\u092a\u093e\u0924 \u092e\u0947\u0902 \u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940 \u092e\u093f\u0932\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f 324 ml \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u094b \u092c\u093e\u0939\u0930 \u0928\u093f\u0915\u093e\u0932 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 64 ml \u0926\u0942\u0927 \u0915\u0947 \u0938\u093e\u0925 \u092c\u0926\u0932 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0905\u0902\u0924\u093f\u092e \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 \u0926\u0942\u0927 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u092a\u093e\u0928\u0940 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u0938\u0947 46 ml \u0905\u0927\u093f\u0915 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u0940 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092e\u093e\u0924\u094d\u0930\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902?<\/p>\n\n\n\n

A) 648 ml<\/p>\n\n\n\n

B) 432 ml<\/p>\n\n\n\n

C) 456 ml<\/p>\n\n\n\n

D) 480 ml<\/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 7:<\/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 5: 4 \u0939\u0948\u0964 \u092f\u0926\u093f 270 ml \u092e\u093f\u0936\u094d\u0930\u0923 \u0928\u093f\u0915\u093e\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0914\u0930 30 ml \u0926\u0942\u0927 \u0914\u0930 108 ml \u092a\u093e\u0928\u0940 \u0907\u0938\u092e\u0947\u0902 \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 \u0926\u0942\u0927 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u0940 \u0915\u0941\u0932 \u092e\u093e\u0924\u094d\u0930\u093e \u0915\u093e 40% \u0939\u094b\u0917\u0940\u0964 \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u0940 \u0935\u093e\u0938\u094d\u0924\u0935\u093f\u0915 \u092e\u093e\u0924\u094d\u0930\u093e \u0915\u093f\u0924\u0928\u0940 \u0939\u0948?<\/p>\n\n\n\n

A) 432 ml<\/p>\n\n\n\n

B) 324 ml<\/p>\n\n\n\n

C) 414 ml<\/p>\n\n\n\n

D) 450 ml<\/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 8:<\/strong> 432 ml \u092e\u093f\u0936\u094d\u0930\u0923 A, \u091c\u093f\u0938\u092e\u0947 \u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 13:11 \u0939\u0948, \u0915\u094b 234 ml \u092e\u093f\u0936\u094d\u0930\u0923 B (\u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940 \u092f\u0941\u0915\u094d\u0924) \u0915\u0947 \u0938\u093e\u0925 \u092e\u093f\u0932\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \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 19:18 \u0939\u0948, \u0924\u094b \u092e\u093f\u0936\u094d\u0930\u0923 B \u092e\u0947\u0902 \u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902?<\/p>\n\n\n\n

A) 6:7<\/p>\n\n\n\n

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

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

D) 7:6<\/p>\n\n\n\n

E) 3:2<\/p>\n\n\n\n

SBI PO Prelims 2023 Free Mock Test<\/a><\/p>\n\n\n\n

\u092a\u094d\u0930\u0936\u094d\u0928 9:<\/strong> Lime juice \u0914\u0930 water \u0915\u0947 \u090f\u0915 \u092e\u093f\u0936\u094d\u0930\u0923 ‘A’ \u092e\u0947\u0902 45% lime juice \u0939\u0948 \u0914\u0930 \u0936\u0947\u0937 water \u0939\u0948|\u092e\u093f\u0936\u094d\u0930\u0923 ‘A’ \u092e\u0947\u0902 ‘x’ ml lime juice \u0914\u0930 2x ml water \u092e\u093f\u0932\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u091c\u093f\u0938\u0938\u0947 \u0915\u093f \u092a\u0930\u093f\u0923\u093e\u092e\u0940 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 lime juice \u0914\u0930 water \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 15:23 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948|\u092e\u093f\u0936\u094d\u0930\u0923 ‘A’ \u0915\u0940 \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u092e\u093e\u0924\u094d\u0930\u093e \u0914\u0930 ‘x’ \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902|<\/p>\n\n\n\n

A) 5:4<\/p>\n\n\n\n

B) 10:3<\/p>\n\n\n\n

C) 8:3<\/p>\n\n\n\n

D) 5:2<\/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 10:<\/strong> Can ‘A’ \u0915\u0947 \u090f\u0915 \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 \u0924\u0947\u0932 \u0914\u0930 \u092a\u093e\u0928\u0940 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 5:2 \u0939\u0948| \u091c\u092c \u0907\u0938 \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u0947 80% \u0915\u094b 30 litres \u092a\u093e\u0928\u0940 \u0938\u0947 \u092a\u094d\u0930\u0924\u093f\u0938\u094d\u0925\u093e\u092a\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u0924\u094b can ‘A’ \u092e\u0947\u0902 \u0924\u0947\u0932 \u0914\u0930 \u092a\u093e\u0928\u0940 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 5:3 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948|\u092a\u094d\u0930\u093e\u0930\u0902\u092d \u092e\u0947\u0902 can ‘A’ \u092e\u0947\u0902 \u0924\u0947\u0932 \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902|<\/p>\n\n\n\n

A) 750 litres<\/p>\n\n\n\n

B) 450 litres<\/p>\n\n\n\n

C) 340 litres<\/p>\n\n\n\n

D) 850 litres<\/p>\n\n\n\n

E) 600 litres<\/p>\n\n\n\n

SBI PO Prelims 2023 Free Mock Test<\/a><\/p>\n\n\n\n

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

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

Let quantity of milk and water in the original mixture is 13x ml and 11x ml respectively.<\/p>\n\n\n\n

Quantity of milk in 288 ml of mixture = 13\/24 \u00d7 288 = 156 ml<\/p>\n\n\n\n

Quantity of water in 288 ml of mixture = 11\/24 \u00d7 288 = 132 ml<\/p>\n\n\n\n

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

[13x \u2013 156 + 68]\/[11x \u2013 132 + 120] = 8\/9<\/p>\n\n\n\n

117x \u2013 792 = 88x \u2013 96<\/p>\n\n\n\n

29x = 696<\/p>\n\n\n\n

So, x = 24<\/p>\n\n\n\n

So, original quantity of mixture = 24 \u00d7 24 = 576 ml<\/p>\n\n\n\n

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

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

Quantity of milk left in the mixture = (240 \u2013 60) \u00d7 (7\/12) = 105 litres<\/p>\n\n\n\n

Quantity of water left in the mixture = (240 \u2013 60) \u00d7 (5\/12) = 75 litres<\/p>\n\n\n\n

Required ratio = (105 + 0.75 \u00d7 60)\/(75 + 0.25 \u00d7 60) = 5:3<\/p>\n\n\n\n

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

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

Quantity of milk in 512 ml of mixture = 9\/16 \u00d7 512 = 288 ml<\/p>\n\n\n\n

Quantity of water in 512 ml of mixture = 7\/16 \u00d7 512 = 224 ml<\/p>\n\n\n\n

Quantity of milk in 116 ml of mixture = 21\/29 \u00d7 116 = 84 ml<\/p>\n\n\n\n

Quantity of water in 116 ml of mixture = 8\/29 \u00d7 116 = 32 ml<\/p>\n\n\n\n

Desired ratio = (0.75 \u00d7 288 + 84):(0.75 \u00d7 224 + 32) = 300:200 = 3:2<\/p>\n\n\n\n

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

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

Let quantity of milk and water in the original mixture be 9x ml and 7x ml respectively.<\/p>\n\n\n\n

Quantity of milk in 288 ml of mixture = 9\/16 \u00d7 288 = 162 ml<\/p>\n\n\n\n

Quantity of water in 288 ml of mixture = 7\/16 \u00d7 288 = 126 ml<\/p>\n\n\n\n

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

(9x \u2013 162 + 38)\/(7x \u2013 126 + 34) = 5\/4<\/p>\n\n\n\n

36x \u2013 496 = 35x \u2013 460<\/p>\n\n\n\n

So, x = 36<\/p>\n\n\n\n

Desired Answer = 36 \u00d7 16 = 576 ml<\/p>\n\n\n\n

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

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

Let the initial quantity of water be 5x litres<\/p>\n\n\n\n

Therefore, initial quantity of milk = 1.2 \u00d7 5x = 6x litres<\/p>\n\n\n\n

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

5x + 33 = 1.2 \u00d7 6x<\/p>\n\n\n\n

Or, x = 33\/2.2 = 15<\/p>\n\n\n\n

Therefore, initial quantity of water = 5x = 75 litres<\/p>\n\n\n\n

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

SBI PO Prelims 2023 Free Mock Test<\/a><\/p>\n\n\n\n

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

Let quantity of milk and water in the original mixture be 5x ml and 7x ml respectively.<\/p>\n\n\n\n

Quantity of milk in 324 ml of mixture = 5\/12 \u00d7 324 = 135 ml<\/p>\n\n\n\n

Quantity of water in 324 ml of mixture = 7\/12 \u00d7 324 = 189 ml<\/p>\n\n\n\n

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

5x \u2013 135 + 64 = 7x \u2013 189 + 46<\/p>\n\n\n\n

2x = 72<\/p>\n\n\n\n

Or, x = 36<\/p>\n\n\n\n

Desired Answer = 36 \u00d7 12 = 432 ml<\/p>\n\n\n\n

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

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

Let amount of milk and water in the mixture initially is 5x ml and 4x ml respectively.<\/p>\n\n\n\n

Quantity of milk in 270 ml of mixture = 5\/9 \u00d7 270 = 150 ml<\/p>\n\n\n\n

Quantity of water in 270 ml of mixture = 270 \u2013 150 = 120 ml<\/p>\n\n\n\n

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

(5x \u2013 150 + 30)\/(4x \u2013 120 + 108) = 2\/3<\/p>\n\n\n\n

Or, 15x \u2013 360 = 8x \u2013 24<\/p>\n\n\n\n

Or, 7x = 336<\/p>\n\n\n\n

Or, x = 48<\/p>\n\n\n\n

Original quantity of mixture = 48 \u00d7 9 = 432 ml<\/p>\n\n\n\n

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

SBI PO Prelims 2023 Free Mock Test<\/a><\/p>\n\n\n\n

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

Quantity of milk in mixture A = 13\/24 \u00d7 432 = 234 ml<\/p>\n\n\n\n

Quantity of water in mixture A = 432 \u2013 234 = 198 ml<\/p>\n\n\n\n

Let quantity of milk in mixture B is \u2018x\u2019 ml<\/p>\n\n\n\n

Quantity of water in mixture B = \u2018234 \u2013 x\u2019 ml<\/p>\n\n\n\n

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

(234 + x)\/(198 + 234 \u2013 x) = 19\/18<\/p>\n\n\n\n

Or, 4212 + 18x = 8208 \u2013 19x<\/p>\n\n\n\n

Or, 37x = 3996<\/p>\n\n\n\n

Or, x = 108<\/p>\n\n\n\n

Quantity of milk in mixture B = 108 ml<\/p>\n\n\n\n

Quantity of water in mixture B = 234 \u2013 108 = 126 ml<\/p>\n\n\n\n

Desired ratio = 108:126 = 6:7<\/p>\n\n\n\n

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

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

Let the initial quantity of mixture \u2018A\u2019 be \u2018y\u2019 litres<\/p>\n\n\n\n

Therefore, initial quantity of lime juice in mixture \u2018A\u2019 = 0.45y ml<\/p>\n\n\n\n

Initial quantity of water in mixture \u2018A\u2019 = 0.55y ml<\/p>\n\n\n\n

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

(0.45y + x)\/(0.55y + 2x) = 15:23<\/p>\n\n\n\n

Or, 10.35y + 23x = 8.25y + 30x<\/p>\n\n\n\n

Or, 2.1y = 7x<\/p>\n\n\n\n

Or, y:x = 10:3<\/p>\n\n\n\n

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

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

Let the quantity of oil and water in the mixture be 5x litres and 2x litres, respectively<\/p>\n\n\n\n

Final quantity of oil in can \u2018A\u2019 = 0.2 \u00d7 5x = x litres<\/p>\n\n\n\n

Final quantity of water in can \u2018A\u2019 = 0.2 \u00d7 2x + 30 = (0.4x + 30) litres<\/p>\n\n\n\n

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

{x\/(0.4x + 30)} = 5\/3<\/p>\n\n\n\n

Or, 3x = 2x + 150<\/p>\n\n\n\n

Or, x = 150<\/p>\n\n\n\n

Therefore, quantity of oil in can \u2018A\u2019 initially = 5x = 750 litres<\/p>\n\n\n\n

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

<\/p>\n\n\n\n

Disclaimer:<\/strong> The mixture and alligation concepts, tips, and practice questions provided are for guidance only. They are illustrative, not official exam content. Actual exam questions may differ in wording, format, or difficulty. Candidates should always consult official exam notices for authentic and updated information before preparation.<\/p>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Check these 10 Mixture & Alligation Preparation Tips, Practice Questions, Answer Key & Detailed Solutions. Attempt free mock test<\/p>\n","protected":false},"author":2,"featured_media":64698,"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":[49],"tags":[],"class_list":["post-64692","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-sbi-po"],"yoast_head":"\n10 Mixture & Alligation Preparation Tips, Practice Questions, Answer Key & Detailed Solutions - Practicemock<\/title>\n<meta name=\"description\" content=\"Check these 10 Mixture & Alligation Preparation Tips, Practice Questions, Answer Key & Detailed Solutions. 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