{"id":31137,"date":"2019-07-04T19:00:05","date_gmt":"2019-07-04T13:30:05","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=31137"},"modified":"2019-11-01T12:48:04","modified_gmt":"2019-11-01T07:18:04","slug":"mixtures-alligations-questions-for-rrb-ntpc-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/mixtures-alligations-questions-for-rrb-ntpc-pdf\/","title":{"rendered":"Mixtures &#038;  Alligations Questions for RRB NTPC PDF"},"content":{"rendered":"<h2><span style=\"text-decoration: underline;\"><strong>Mixtures &amp; Alligations Questions for RRB NTPC PDF<\/strong><\/span><\/h2>\n<p>Download RRB NTPC\u00a0Mixtures &amp; Alligations Questions and Answers PDF. Top 15 RRB NTPC\u00a0Mixtures &amp; Alligations questions based on asked questions in previous exam papers very important for the Railway NTPC exam.<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/downloads\/5225\" target=\"_blank\" class=\"btn btn-danger  download\">Download Mixtures &amp; Alligations Questions for RRB NTPC PDF<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rrb-ntpc-mock-test\" target=\"_blank\" class=\"btn btn-info \">Take a free mock test for RRB NTPC<\/a><\/p>\n<p>Download <a href=\"https:\/\/cracku.in\/railways-ntpc-previous-papers\" target=\"_blank\" rel=\"noopener\">RRB NTPC Previous Papers PDF<\/a><\/p>\n<p><b>Question 1:\u00a0<\/b>An alloy A is made up of Zinc and Copper in the ratio 2 : 3 and an alloy B is made up of Zinc and Aluminum in the ratio 3 : 4. If another alloy C is made from 10 kg of alloy A and 14 kg of alloy B, then what is the proportion of Zinc present in alloy C?<\/p>\n<p>a)\u00a03\/7<\/p>\n<p>b)\u00a05\/12<\/p>\n<p>c)\u00a04\/9<\/p>\n<p>d)\u00a05\/7<\/p>\n<p>e)\u00a0none of these<\/p>\n<p><b>Question 2:\u00a0<\/b>A and B are two vessels of equal volumes. A contains milk water mixture in which the ratio of milk and water is 3:1. B contains milk water mixture in the ratio 7:1. In what ratio should the contents of the two vessels be mixed so that the resultant mixture has 80% milk?<\/p>\n<p>a)\u00a02:3<\/p>\n<p>b)\u00a03:2<\/p>\n<p>c)\u00a04:3<\/p>\n<p>d)\u00a03:4<\/p>\n<p>e)\u00a05:4<\/p>\n<p><b>Question 3:\u00a0<\/b>Two equal volume mixtures containing acid and water in the ratio 4:1 and 5:3 respectively are combined. What is the approximate acid percentage of the resultant solution?<\/p>\n<p>a)\u00a065%<\/p>\n<p>b)\u00a070%<\/p>\n<p>c)\u00a075%<\/p>\n<p>d)\u00a080%<\/p>\n<p>e)\u00a085%<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/railways-ntpc-previous-papers\" target=\"_blank\" class=\"btn btn-primary \">RRB NTPC Previous Papers [Download PDF]<\/a><\/p>\n<!-- Error, Advert is not available at this time due to schedule\/geolocation restrictions! -->\n<p><b>Question 4:\u00a0<\/b>Fresh grapes contain 75% water (by weight) while dry grapes contain 20 % water (by weight). Anil bought 40 kg fresh grapes and kept them in the sun. The grapes dried in one day. What is the weight of the dried grapes?<\/p>\n<p>a)\u00a015 kg<\/p>\n<p>b)\u00a010 kg<\/p>\n<p>c)\u00a018 kg<\/p>\n<p>d)\u00a012.5 kg<\/p>\n<p>e)\u00a0none of these<\/p>\n<p><b>Question 5:\u00a0<\/b>Solution A has alcohol and water in the ratio 3:1. Solution B has water and alcohol in the ratio 2:3. In what ratio must A and B be mixed such that the ratio of alcohol and water in the resultant solution is 7:3?<\/p>\n<p>a)\u00a01:2<\/p>\n<p>b)\u00a02:1<\/p>\n<p>c)\u00a01:6<\/p>\n<p>d)\u00a06:1<\/p>\n<p>e)\u00a04:3<\/p>\n<p><b>Question 6:\u00a0<\/b>A and B are mixtures of milk and water. In mixture A, the concentration of milk in the solution is 40% while in mixture B, the concentration of water in the solution is 40%. If a new mixture C is made by mixing A and B in the ratio 1:2, what is the concentration of milk in C?<\/p>\n<p>a)\u00a040%<\/p>\n<p>b)\u00a047.67%<\/p>\n<p>c)\u00a053.33%<\/p>\n<p>d)\u00a050%<\/p>\n<p>e)\u00a0Cannot be determined<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rrb-ntpc-mock-test\" target=\"_blank\" class=\"btn btn-danger \">RRB NTPC Free Mock Test<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/www.youtube.com\/channel\/UCMDJPaiDdRPv2mrEJoLfklA?sub_confirmation=1\" target=\"_blank\" class=\"btn btn-warning \">FREE RRB NTPC YOUTUBE VIDEOS<\/a><\/p>\n<p><b>Question 7:\u00a0<\/b>A 1 litre solution has milk and water in the ratio 2:3. 100 ml from this solution is replaced with pure milk. What will be the new ratio of milk and water in the solution?<\/p>\n<p>a)\u00a04:7<\/p>\n<p>b)\u00a011:18<\/p>\n<p>c)\u00a03:5<\/p>\n<p>d)\u00a021:27<\/p>\n<p>e)\u00a023:27<\/p>\n<p><b>Question 8:\u00a0<\/b>In what ratio a type of rice at 8 Rs\/kg should be mixed with another type of rice at 13 Rs\/kg such that the mixture worth 10 Rs\/kg.<\/p>\n<p>a)\u00a01:4<\/p>\n<p>b)\u00a02:7<\/p>\n<p>c)\u00a01:1<\/p>\n<p>d)\u00a03:5<\/p>\n<p>e)\u00a03:2<\/p>\n<p><b>Question 9:\u00a0<\/b>Wine to milk ratio in two mixtures A and B is 2:3 and 5:1 respectively, if these mixtures are mixed in the ratio 2:1, find the ratio of milk to wine in the resultant mixture.<\/p>\n<p>a)\u00a01:4<\/p>\n<p>b)\u00a02:7<\/p>\n<p>c)\u00a01:1<\/p>\n<p>d)\u00a03:5<\/p>\n<p>e)\u00a0None of these<\/p>\n<p>&nbsp;<\/p>\n<p><b>Question 10:\u00a0<\/b>Milk and grapes are mixed in the ratio 5:3 by weights and this mixture is dried to form a sweet. During this process grapes lost 20% of their weight and milk lost 24% of its weight. Find the proportion of grapes in the sweet thus formed.<\/p>\n<p>a)\u00a038.7%<\/p>\n<p>b)\u00a036.5%<\/p>\n<p>c)\u00a042.3%<\/p>\n<p>d)\u00a044.5%<\/p>\n<p>e)\u00a038.6%<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/blog\/general-knowledge-questions-and-answers-for-competitive-exams-pdf\/\" target=\"_blank\" class=\"btn btn-alone \">18000+ Questions &#8211; Free SSC Study Material<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/blog\/general-science-questions-answers-competitive-exams-pdf-mcq-quiz\/\" target=\"_blank\" class=\"btn btn-info \">Download General Science Notes PDF<\/a><\/p>\n<p><b>Question 11:\u00a0<\/b>Two mixtures A, B with milk to water ratios 5:2, 3:4 respectively are mixed in equal quantities to form a mixture C. what is the ratio of milk to water in C?<\/p>\n<p>a)\u00a04:3<\/p>\n<p>b)\u00a03:2<\/p>\n<p>c)\u00a01:5<\/p>\n<p>d)\u00a02:3<\/p>\n<p>e)\u00a0None of these<\/p>\n<p><b>Question 12:\u00a0<\/b>The ratio of milk to water in a 120 liter mixture is 7:3, how many liters of extra water to be added so that the ratio becomes 7:5.<\/p>\n<p>a)\u00a028<\/p>\n<p>b)\u00a013<\/p>\n<p>c)\u00a026<\/p>\n<p>d)\u00a024<\/p>\n<p>e)\u00a025<\/p>\n<p>&nbsp;<\/p>\n<p><b>Question 13:\u00a0<\/b>In what ratio must 5% concentrated acid be mixed with 40% concentrated acid to get 25% concentrated acid?<\/p>\n<p>a)\u00a01:2<\/p>\n<p>b)\u00a02:5<\/p>\n<p>c)\u00a04:3<\/p>\n<p>d)\u00a03:4<\/p>\n<p>e)\u00a0Cannot be determined<\/p>\n<p><b>Question 14:\u00a0<\/b>In what ratio should a milkman mix water and milk such that he earns a profit of 25% by selling the milk at the cost price? (water is free)<\/p>\n<p>a)\u00a04:1<\/p>\n<p>b)\u00a01:4<\/p>\n<p>c)\u00a03:1<\/p>\n<p>d)\u00a01:3<\/p>\n<p>e)\u00a01:5<\/p>\n<p><b>Question 15:\u00a0<\/b>A dealer mixed 1.5 litres of Rs 50\/litre petrol with 2.5 litres of Rs. 40\/ litre petrol. What is the rate of the new mixture?<\/p>\n<p>a)\u00a0Rs. 43.75 per litre<\/p>\n<p>b)\u00a0Rs. 44.75 per litre<\/p>\n<p>c)\u00a0Rs. 45.75 per litre<\/p>\n<p>d)\u00a0Rs. 46.75 per litre<\/p>\n<p>e)\u00a0None of the above<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rrb-online-test\" target=\"_blank\" class=\"btn btn-primary \"> Daily Free RRB Online Tests for RRB Exams<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/free-gk-tests\" target=\"_blank\" class=\"btn btn-info \">100+ Free Online G.K Tests<\/a><\/p>\n<p><span style=\"text-decoration: underline;\"><strong>Answers &amp; Solutions:<\/strong><\/span><\/p>\n<p><strong>1)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>The amount of Zinc present in 10kg of Alloy A = 2\/5 of 10 = 4kg<br \/>\nThe amount of Zinc present in 14kg of Alloy B = 3\/7 of 14 = 6kg<br \/>\nThus, total amount of Zinc present in 24 kg Alloy C = 6 + 4 = 10 kg<br \/>\nThus, the proportion if Zinc present in Alloy C = 10\/24 = 5\/12<\/p>\n<p><strong>2)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>The percentage concentration of milk in the first vessel is 75% and the percentage concentration of milk in the second vessel is 87.5%. The desired quantity of milk is 80%.<br \/>\nLet\u2019s say a litres of mixture A and b litres of mixture B gives the desired quantity. Then,<br \/>\n75a + 87.5b = 80(a+b)<br \/>\n=&gt; 7.5b = 5a<br \/>\n=&gt; a\/b = 3\/2<br \/>\nHence the ratio in which the contents of A and B should be mixed to get the desired result is 3:2.<\/p>\n<p><strong>3)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>Let the volumes of each of the original solutions be 80 ml each.<br \/>\n1st solution -&gt; 64 ml acid and 16 ml water<br \/>\n2nd solution -&gt; 50 ml acid and 30 ml water<br \/>\nThe combined solution will have 114 ml acid and 46 ml water.<br \/>\nAcid % = $\\frac{114}{160}\\times100\\approx70$%<\/p>\n<p><strong>4)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>40 kg of fresh grapes will have 75% water so the amount of pulp would be 25%.<br \/>\nHence the amount of pulp in the grapes that Anil bought = .25*40 = 10 kg<br \/>\nWe know that 80% of dry grapes contain pulp.<br \/>\nIf the weight of dry grapes is &#8216;x&#8217;, then 0.8x = 10kg<br \/>\nHence x = 10\/0.8 = 12.5kg<br \/>\nNow dried grapes consist of 80% pulp. Hence the total weight of the dried grapes would be 10\/.8 = 12.5 kg.<\/p>\n<p><strong>5)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>Using alligation formula, we get<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"img-responsive\" src=\"https:\/\/cracku.in\/media\/uploads\/1_rQYkx14.PNG\" width=\"207\" height=\"179\" \/><\/p>\n<p>Hence, the required ratio is 2:1<\/p>\n<p>Alternative solution:<br \/>\nLet the quantity of A be m and the quantity of B be n.<br \/>\nGiven, the resultant mixture has alcohol to water ratio of 7 : 3, which implies alcohol to solution ratio of 7 : 10.<\/p>\n<p>$\\frac{\\frac{3m}{4}+ \\frac{3n}{5}}{m + n} = \\frac{7}{10}$<\/p>\n<p>14m + 14n = 15m + 12n<\/p>\n<p>m : n = 2 : 1<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rrb-ntpc-mock-test\" target=\"_blank\" class=\"btn btn-info \">Free RRB Daily Practice Set<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/railway-group-d-previous-papers\" target=\"_blank\" class=\"btn btn-danger \">RRB Group-D Previous Papers (Download PDF)<\/a><\/p>\n<p><strong>6)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Let us assume that mixture C is created by mixing 100 units of A with 200 units of B.<br \/>\n=&gt; Total volume of C=300 units.<br \/>\nMilk in 100 units of A = 40 units.<br \/>\nMilk in 200 units of B = 120 units [40% is the water concentration in B =&gt; 60% is the concentration of milk in B]<br \/>\nTotal milk in C = 160 units.<br \/>\n=&gt; Concentration = (160\/300) X 100<\/p>\n<p><strong>7)\u00a0Answer\u00a0(E)<\/strong><\/p>\n<p>Milk to water ratio is 2:3 initially.<br \/>\nVolume of milk = 400 ml and volume of water = 600 ml in the solution.<br \/>\nNow 100 ml is removed.<br \/>\nThis means 40 ml of milk and 60 ml of water is removed.<br \/>\nNow 100 ml of milk is added.<br \/>\nNew volume of milk = 400-40+100 = 460 ml.<br \/>\nNew volume of water = 600-60 = 540 ml.<br \/>\nRatio = 460:540 = 23:27.<\/p>\n<p><strong>8)\u00a0Answer\u00a0(E)<\/strong><\/p>\n<p>Let the quantities mixed be $x, y.$<br \/>\nBased on the given information, the following equation could be derived.<br \/>\n$\\frac{8x+13y}{x+y} = 10$ ==&gt; $3y = 2x$<br \/>\n==&gt; $x:y = 3 :2$<br \/>\nSince there is no such option, the correct option to choose is E.<\/p>\n<p><strong>9)\u00a0Answer\u00a0(E)<\/strong><\/p>\n<p>Let the total volume of the resultant mixture = V.<br \/>\n==&gt; Volume of mixture A = 2V\/3<br \/>\n==&gt; Volume of wine mixed through mixture A = (2\/5)*(2v\/3) =4v\/15<br \/>\nSimilarly volume of wine mixed through the mixture B = (5\/6)*(V\/3) = 5v\/18.<br \/>\n==&gt; Total volume of wine in that mixture = 49v\/ 90<br \/>\n==&gt; Volume of milk in the mixture = (V &#8211; 49V\/90) = 41v\/90<br \/>\nRatio of milk to wine = 41:49.<br \/>\nSince there is no such option, the correct option to choose is E.<\/p>\n<p><strong>10)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>Let the weight of mixture formed before drying =x<br \/>\n==&gt; Weight of milk before drying = 5x\/8, weight after drying = 0.76*5x\/8 = 3.8x\/8<br \/>\nWeight of grapes before drying = 3x\/8, weight after drying = 0.8*3x\/8 = 2.4x\/8<br \/>\n==&gt; Percentage of grapes in the sweet formed = (2.4\/6.2)*100 = 38.7%<\/p>\n<p><strong>11)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>Let the volume of each mixture =x<br \/>\n==&gt; Total amount of milk in the mixture = (5x\/7 + 3x\/7) =8x\/7<br \/>\n==&gt; total amount of water in the mixture = 2x &#8211; 8x\/7= 6x\/7<br \/>\n==&gt; milk to water ratio = 4:3<\/p>\n<p>So the correct option to choose is A.<\/p>\n<p><strong>12)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>Number of liters of milk in the initial mixture = (120\/10)*7 = 84<br \/>\nNumber of liters of water = (120\/10)*3 = 36<br \/>\nLet x be the amount of water that should be added.<br \/>\n==&gt; 84\/(36+x) = 7\/5 ==&gt; 84*5 = (36+x)*7 ==&gt; x = 24.<br \/>\nSo the correct option to choose is D.<\/p>\n<p><strong>13)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>We use the alligation method<br \/>\n5%&#8212;&#8212;40%<br \/>\n&#8212;\\&#8212;&#8212;\/&#8212;<br \/>\n&#8212;&#8211;25%&#8212;-<br \/>\n&#8212;\/&#8212;&#8212;\\&#8212;<br \/>\n15&#8212;&#8212;-20-<\/p>\n<p>The ratio is 15:20 or 3:4.<\/p>\n<p><strong>14)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>Let\u2019s say 100 ml of milk is worth 100 rupees. So if the milkman wants to get 25% profit after selling a thing for 100, then its cost price should be 100\/1.25 = 80<br \/>\nHence he should only sell 80 ml milk and should add 20ml water.<br \/>\nHence the required ratio of water and milk is 1:4<\/p>\n<p><strong>15)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>The total cost of petrol in the mixture of 4 litres = 1.5 * 50 + 2.5 * 40 = 75 + 100 = Rs. 175<br \/>\nSo, the rate per litre = 175\/4 = 43.75<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rrb-ntpc-mock-test\" target=\"_blank\" class=\"btn btn-info \">Take a free RRB NTPC mock test<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.cracku.app&amp;hl=en_US\" target=\"_blank\" class=\"btn btn-danger \">DOWNLOAD APP FOR RRB FREE MOCKS<\/a><\/p>\n<p>We hope this\u00a0Mixtures &amp; Alligations Questions\u00a0 for RRB NTPC Exam will be highly useful for your Preparation.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mixtures &amp; Alligations Questions for RRB NTPC PDF Download RRB NTPC\u00a0Mixtures &amp; Alligations Questions and Answers PDF. Top 15 RRB NTPC\u00a0Mixtures &amp; Alligations questions based on asked questions in previous exam papers very important for the Railway NTPC exam. Download RRB NTPC Previous Papers PDF Question 1:\u00a0An alloy A is made up of Zinc and [&hellip;]<\/p>\n","protected":false},"author":41,"featured_media":31139,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[169,125,31,1603,1601],"tags":[489,491,1637,1647,1619],"class_list":{"0":"post-31137","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-downloads","8":"category-featured","9":"category-railways","10":"category-rrb-ntpc","11":"category-rrb-ntpc-je","12":"tag-railway-exam","13":"tag-rrb","14":"tag-rrb-exam","15":"tag-rrb-mocks","16":"tag-rrb-ntpc-2019"},"better_featured_image":{"id":31139,"alt_text":"Mixtures & Alligations Questions for RRB NTPC PDF","caption":"Mixtures & Alligations Questions for RRB NTPC PDF","description":"Mixtures & Alligations Questions for RRB NTPC 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