{"id":101615,"date":"2024-07-15T14:50:51","date_gmt":"2024-07-15T09:20:51","guid":{"rendered":"https:\/\/www.practicemock.com\/blog\/?p=101615"},"modified":"2024-07-15T17:45:17","modified_gmt":"2024-07-15T12:15:17","slug":"data-sufficiency-for-ibps-rrb-exam","status":"publish","type":"post","link":"https:\/\/www.practicemock.com\/blog\/data-sufficiency-for-ibps-rrb-exam\/","title":{"rendered":"Data Sufficiency For IBPS RRB Exam, Check All Questions"},"content":{"rendered":"\n<p><\/p>\n\n\n<div class=\"yoast-breadcrumbs\"><span><span><a href=\"https:\/\/www.practicemock.com\/blog\/\">Home<\/a><\/span> \u00bb <span><a href=\"https:\/\/www.practicemock.com\/blog\/category\/banking-insurance\/\">Banking &amp; Insurance<\/a><\/span> \u00bb <span class=\"breadcrumb_last\" aria-current=\"page\">Data Sufficiency For IBPS RRB Exam<\/span><\/span><\/div>\n\n\n<p><\/p>\n\n\n\n<p><strong>Data Sufficiency For IBPS RRB Exam: <\/strong>Data sufficiency problems are an essential part of the Reasoning section. It contains a question followed by statements with clues to answer it. These clues might look confusing but act as keys to answering the questions. These problems are not traditional questions but questions where candidates find the answer directly. It tests candidates\u2019 tenacity or his\/her power of judgment, where they must ascertain or conclude whether the given statements provide enough information to solve the question. These types of questions appear frequently in multiple government exams, including the IBPS RRB Exam. Candidates can prepare effectively for upcoming government exams by understanding the patterns of questions asked in Data Sufficiency. Read on to clear any doubts on this topic.<\/p>\n\n\n\n<p>In this article, we\u2019ll take a deep dive into the key concepts of the Data Sufficiency Logical Reasoning section. We&#8217;ll explore solved examples, practice questions, and valuable tips and tricks needed to successfully and quickly tackle the Data Sufficiency for IBPS RRB exam.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-white-color has-vivid-cyan-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/www.practicemock.com\/ibps-rrb-officer-test-series\/?ref=11426\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>Take a Free IBPS RRB PO 2024 Mock Test &amp; Know How to Boost Your Preparation Like Never Before<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">What is Data Sufficiency?<\/h2>\n\n\n\n<p>Data Sufficiency part of the Reasoning sections requires the ability to check or test the given information in option form. You\u2019ll have to decide whether the information or options are enough to answer a question or not. Data Sufficiency-type questions will test your ability to relate provided information to come to a conclusion or reach a decision. In short, it tests your decision-making power logically. It might throw at your questions from any of the topics of reasoning or&nbsp;quantitative aptitude&nbsp;and examine your analytical skills through it.&nbsp;<\/p>\n\n\n\n<p>These questions cover varied topics like sequence, coding-decoding, ranking, and puzzle tests. There are multiple statements following the questions or problem. These statements, which are usually 5 in number, provide information to solve the question and get the right answer. You must, therefore, determine which statement(s) are sufficient for answering. In short, these statements will help you arrive at the right answer. Therefore, your power of decision-making is important for solving these types of questions.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Types of Data Sufficiency<\/h2>\n\n\n\n<p>Data Sufficiency questions are a common feature of the reasoning sections in almost all the government competitive exams. This part tests the candidate&#8217;s ability to decide or establish whether the given statements have enough information to answer the question or not. Check out the table below to learn about the different types of Data Sufficiency questions you might encounter, together with a brief description of each type.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><strong>Type of Data Sufficiency<\/strong><\/td><td><strong>Description<\/strong><\/td><\/tr><tr><td>Blood Relation<\/td><td>Questions involve determining the relationship between two people. Candidates must use the given statements.<\/td><\/tr><tr><td>Order &amp; Ranking<\/td><td>Questions involve determining the order or ranking of people. Candidates must analyze the provided data.<\/td><\/tr><tr><td>Coding Decoding<\/td><td>Questions involve deciphering coded words or letters. Candidates need to find the logic applied in the coding process.<\/td><\/tr><tr><td>Direction &amp; Distance<\/td><td>Questions involve determining directions or distances. Candidates must use the movement or location data provided.<\/td><\/tr><tr><td>Seating Arrangement<\/td><td>Questions involve finding the arrangement of people. This can be in linear or circular setups based on the information.<\/td><\/tr><tr><td>Floor Puzzle<\/td><td>Questions involve determining which floor people live on. This can be in one or multiple buildings based on the provided data.<\/td><\/tr><tr><td>Scheduling<\/td><td>Questions involve determining schedules based on data. The data can be related to months, years, or specific dates.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-white-color has-vivid-cyan-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/www.practicemock.com\/ibps-rrb-officer-test-series\/?ref=11426\"><strong>Take a Free IBPS RRB PO 2024 Mock Test &amp; Know How to <\/strong>Improve <strong>10x<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Data Sufficiency Practice Questions &amp; Answers<\/h2>\n\n\n\n<p>It is essential to practice the maximum number of questions on Data Sufficiency for IBPS RRB Exam, to successfully tackle them in the exam. This is the reason why we have brought you the best examples of their solutions and the Hindi versions of them as well. Practice these questions and others and take mock tests to check the speed and accuracy needed to master Data Sufficiency for IBPS RRB Exam.<\/p>\n\n\n\n<p><strong>Question 1:<\/strong>&nbsp;Rajiv and Puneet started travelling towards each other from point A and point B, respectively at the same time. Find the speed of Puneet.<\/p>\n\n\n\n<p>Statement I: Distance between point A and point B is 396 km.<\/p>\n\n\n\n<p>Statement II: Ratio of speed of Rajiv to speed of Puneet is 6:5, respectively.<\/p>\n\n\n\n<p>Statement III: Rajiv takes 3 hours to reach point B after meeting Puneet.<\/p>\n\n\n\n<p>A) Data in statement I and II together are necessary to answer the question.<\/p>\n\n\n\n<p>B) Data in statement I and III together are necessary to answer the question.<\/p>\n\n\n\n<p>C) Data in statement II and III together are necessary to answer the question.<\/p>\n\n\n\n<p>D) Data in statements I, II and III together are necessary to answer the question.<\/p>\n\n\n\n<p>E) Data in statements I, II and III together are not sufficient to answer the question.<\/p>\n\n\n\n<p><strong>Question 2:<\/strong>&nbsp;The question consists of two statements numbered \u201cI and II\u201d given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n\n\n\n<p>Three pipes, A, B and C are attached to a tank. Pipe A and B together can fill the tank in 40 minutes, while pipe B and C together can fill the tank in 50 minutes. If all the pipes are opened for 4 minutes and then pipe A and C are closed, find the time taken to empty the tank.<\/p>\n\n\n\n<p>Statement I: Pipe A is 20% more efficient than pipe C.&nbsp;<\/p>\n\n\n\n<p>Statement II: Pipe A, B and C together can fill the tank in 20 minutes.<\/p>\n\n\n\n<p>A) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.<\/p>\n\n\n\n<p>B) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.<\/p>\n\n\n\n<p>C) The data either in statement I alone or in statement II alone are sufficient to answer the question.<\/p>\n\n\n\n<p>D) The data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n<p>E) The data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n<p><strong>Question 3:<\/strong>&nbsp;The question consists of two statements numbered \u201cI and II\u201d given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n\n\n\n<p>Dheeraj and Samay are travelling to point B from point A by bus and car, respectively. Find the speed of the bus.<\/p>\n\n\n\n<p>Statement I: Distance between point A and point B is 320 km. Bus takes 160 more minutes than car to reach point B.<\/p>\n\n\n\n<p>Statement II: Speed of bus is two-third of speed of car.<\/p>\n\n\n\n<p>A) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.<\/p>\n\n\n\n<p>B) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.<\/p>\n\n\n\n<p>C) The data either in statement I alone or in statement II alone are sufficient to answer the question.<\/p>\n\n\n\n<p>D) The data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n<p>E) The data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n<p><strong>Question 4:<\/strong>&nbsp;The question consists of two statements numbered \u201cI and II\u201d given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n\n\n\n<p>What is the length of the train X?<\/p>\n\n\n\n<p>Statement I: Two trains X and Y cross each other while travelling in the opposite direction towards each other, and while travelling in same direction in 10 seconds and 25 seconds, respectively. Length of train Y is 80 metres.<\/p>\n\n\n\n<p>Statement II: Speed of train X is 35 km\/h and the speed of train Y is less than that of X.<\/p>\n\n\n\n<p>A) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.<\/p>\n\n\n\n<p>B) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.<\/p>\n\n\n\n<p>C) The data either in statement I alone or in statement II alone are sufficient to answer the question.<\/p>\n\n\n\n<p>D) The data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n<p>E) The data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n<p><strong>Question 5:<\/strong>&nbsp;The question consists of two statements numbered \u201cI and II\u201d given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n\n\n\n<p>Find the time taken by a boat to cover a distance of 250 km in still water.<\/p>\n\n\n\n<p>Statement I: The boat can cover a distance of 135 km upstream and 195 km downstream in 6 hours.<\/p>\n\n\n\n<p>Statement II: The boat can travel 90 km upstream and 130 km in downstream in 4 hours.<\/p>\n\n\n\n<p>A) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.<\/p>\n\n\n\n<p>B) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.<\/p>\n\n\n\n<p>C) The data either in statement I alone or in statement II alone are sufficient to answer the question.<\/p>\n\n\n\n<p>D) The data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n<p>E) The data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n<p><strong>Question 6:<\/strong>&nbsp;The question consists of two statements numbered \u201cI and II\u201d given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n\n\n\n<p>A mixture contains milk and water in the ratio of 12:11 respectively. Find the quantity of water in the mixture.<\/p>\n\n\n\n<p>Statement I: 20% of mixture is replaced with same quantity of water then the ratio of milk to water becomes 48:67.<\/p>\n\n\n\n<p>Statement II: If 125 ml of water is added in the mixture, the ratio of milk to water becomes 3:4.<\/p>\n\n\n\n<p>A) The data in statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question.<\/p>\n\n\n\n<p>B) The data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.<\/p>\n\n\n\n<p>C) The data either in statement I alone or in statement II alone are sufficient to answer the question.<\/p>\n\n\n\n<p>D) The data given in both statements I and II together are not sufficient to answer the question.<\/p>\n\n\n\n<p>E) The data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n<p><strong>ANSWER KEYS and SOLUTIONS:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>1) \u2013 D)<\/td><td>2) \u2013 C)<\/td><td>3) \u2013 E)<\/td><td>4) \u2013 E)<\/td><td>5) \u2013 D)<\/td><td>6) \u2013 B)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Solution 1: D)<\/strong><\/p>\n\n\n\n<p>Statement I:<\/p>\n\n\n\n<p>Distance between point A and point B is 396 km.<\/p>\n\n\n\n<p>So, statement I alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement II:<\/p>\n\n\n\n<p>Let, speed of Rajiv and Puneet be 6x km\/h and 5x km\/h, respectively.<\/p>\n\n\n\n<p>So, statement II alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement III:<\/p>\n\n\n\n<p>Rajiv takes 3 hours to reach point B after meeting Puneet.<\/p>\n\n\n\n<p>So, statement III alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement I and statement II:<\/p>\n\n\n\n<p>Distance between point A and point B is 396 km.<\/p>\n\n\n\n<p>Let, speed of Rajiv and Puneet be 6x km\/h and 5x km\/h, respectively.<\/p>\n\n\n\n<p>So, Statement I and statement II together is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement I and statement III:<\/p>\n\n\n\n<p>Distance between point A and point B = 396 km<\/p>\n\n\n\n<p>Let, distance travelled by Puneet to meet Rajiv = \u2018y\u2019 km<\/p>\n\n\n\n<p>And, distance travelled by Rajiv to meet Puneet = \u2018396 \u2013 y\u2019 km<\/p>\n\n\n\n<p>Speed of Rajiv = y\/3 km\/h<\/p>\n\n\n\n<p>So, Statement I and statement III together is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement II and statement III:<\/p>\n\n\n\n<p>Let, speed of Rajiv and Puneet be 6x km\/h and 5x km\/h, respectively.<\/p>\n\n\n\n<p>Ratio of time taken by Rajiv and Puneet to reach their respective destination = 5: 6<\/p>\n\n\n\n<p>Time taken by Puneet to meet Rajiv = (6\/5) \u00d7 3 = 3.6 hours<\/p>\n\n\n\n<p>So, Statement II and statement III together is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement I, II, and III:<\/p>\n\n\n\n<p>Let, speed of Rajiv and Puneet be 6x km\/h and 5x km\/h, respectively.<\/p>\n\n\n\n<p>Distance between point A and point B = 396 km<\/p>\n\n\n\n<p>Ratio of time taken by Rajiv and Puneet to reach their respective destination = 5: 6<\/p>\n\n\n\n<p>Time taken by Puneet to meet Rajiv = (6\/5) \u00d7 3 = 3.6 hours<\/p>\n\n\n\n<p>So, 6x \u00d7 3.6 + 5x \u00d7 3.6 = 396<\/p>\n\n\n\n<p>39.6x = 396, x = 10<\/p>\n\n\n\n<p>Speed of Puneet = 5x = 50 km\/h<\/p>\n\n\n\n<p>So, statement I, statement II and statement III together is necessary to answer the question.<\/p>\n\n\n\n<p>Hence, option d.<\/p>\n\n\n\n<p><strong>Solution 2: C)<\/strong><\/p>\n\n\n\n<p>Let the capacity of the tank be LCM of (40 and 50) = 200 units<\/p>\n\n\n\n<p>Number of units of water filled by pipe (A + B) together in one minute = 200\/40 = 5 units<\/p>\n\n\n\n<p>Number of units of water filled by pipe (B + C) together in one minute = 200\/50 = 4 units<\/p>\n\n\n\n<p>Statement I:<\/p>\n\n\n\n<p>So, number of units of water filled by pipe (A + B + B + C) together in one minute = 5 + 4 = 9 units<\/p>\n\n\n\n<p>Now, A + 2B + C = 9<\/p>\n\n\n\n<p>Since, the efficiency of A is 20% more than C.<\/p>\n\n\n\n<p>So, 1.2C + 2B + C = 9<\/p>\n\n\n\n<p>2B + 2.2C = 9 \u2014-(1)<\/p>\n\n\n\n<p>And, B + C = 4 \u2014-(2)<\/p>\n\n\n\n<p>Solving eq. (1) and eq. (2), we get<\/p>\n\n\n\n<p>C = 5 units and A = 6 units<\/p>\n\n\n\n<p>So, number of units of water emptied by pipe B in one minute = 6 \u2013 5 = 1 unit<\/p>\n\n\n\n<p>Number of units of water filled by pipe A, B and C together in one minute = 6 + 5 \u2013 1 = 10 units<\/p>\n\n\n\n<p>So, number of units of water filled by pipe A, B and C together in 4 minute = 40 units<\/p>\n\n\n\n<p>Required time taken to empty the tank = 40\/1 = 40 minutes<\/p>\n\n\n\n<p>So, statement I alone is sufficient to answer the question.<\/p>\n\n\n\n<p>Statement II:<\/p>\n\n\n\n<p>So, number of units of water filled by pipe (A + B + C) together in one minute = 200\/20 = 10 units<\/p>\n\n\n\n<p>Number of units of water filled by pipe A in one minute = 10 \u2013 4 = 6 units<\/p>\n\n\n\n<p>Number of units of water emptied by pipe B in one minute = 6 \u2013 5 = 1 unit<\/p>\n\n\n\n<p>So, number of units of water filled by pipe A, B and C together in 4 minute = 40 units<\/p>\n\n\n\n<p>Required time taken to empty the tank = 40\/1 = 40 minutes<\/p>\n\n\n\n<p>So, statement II alone is sufficient to answer the question.<\/p>\n\n\n\n<p>Hence, option c.<\/p>\n\n\n\n<p><strong>Solution 3: E)<\/strong><\/p>\n\n\n\n<p>Statement I:<\/p>\n\n\n\n<p>Let, time taken by car be \u2018t\u2019 hours.<\/p>\n\n\n\n<p>So, time taken by bus = \u2018t + 160\/60\u2019 hours<\/p>\n\n\n\n<p>And, distance between point A and point B = 320 km<\/p>\n\n\n\n<p>So, data in statement I alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement II:<\/p>\n\n\n\n<p>Let, speed of bus and car be \u20182x\u2019 km\/h and \u20183x\u2019 km\/h respectively.<\/p>\n\n\n\n<p>So, data in statement II alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Combining statement I and II:<\/p>\n\n\n\n<p>Let, speed of bus and car be \u20182x\u2019 km\/h and \u20183x\u2019 km\/h respectively.<\/p>\n\n\n\n<p>So, 320\/2x \u2013 320\/3x = 160\/60<\/p>\n\n\n\n<p>(960 \u2013 640)\/6x = 8\/3<\/p>\n\n\n\n<p>40 = 2x<\/p>\n\n\n\n<p>So, speed of bus = 2x = 40 km\/h<\/p>\n\n\n\n<p>So, the data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n<p>Hence, option e.<\/p>\n\n\n\n<p><strong>Solution 4: E)<\/strong><\/p>\n\n\n\n<p>Let speed of train X and Y be x km\/h and y km\/h, respectively.<\/p>\n\n\n\n<p>Let length of train X be \u2018l\u2019 metres.<\/p>\n\n\n\n<p>Statement I:<\/p>\n\n\n\n<p>According to question,<\/p>\n\n\n\n<p>(l + 80) = 10 \u00d7 (x +y)\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026(1)<\/p>\n\n\n\n<p>(l + 80) = 25 \u00d7 (x \u2013 y)\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026(2)<\/p>\n\n\n\n<p>From (1) and (2)<\/p>\n\n\n\n<p>10 \u00d7 (x + y) = 25 \u00d7 (x \u2013 y)<\/p>\n\n\n\n<p>7y = 3x<\/p>\n\n\n\n<p>Therefore, statement I alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement II:<\/p>\n\n\n\n<p>Speed of train X = 35 km\/h<\/p>\n\n\n\n<p>Therefore, statement II alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Combining the statements, I and II,<\/p>\n\n\n\n<p>Speed of train X = 35 km\/h<\/p>\n\n\n\n<p>So, 7y = 3 \u00d7 35<\/p>\n\n\n\n<p>y = 15 km\/h<\/p>\n\n\n\n<p>From equation (1)<\/p>\n\n\n\n<p>(l + 80) = 10 \u00d7 (x + y)<\/p>\n\n\n\n<p>l + 80 = 10 \u00d7(35 + 15) \u00d7 5\/18<\/p>\n\n\n\n<p>l = 139 \u2013 80 ~ 59 metres<\/p>\n\n\n\n<p>Therefore, statement I and statement II together are necessary to answer the question.<\/p>\n\n\n\n<p>Hence, option e.<\/p>\n\n\n\n<p><strong>Solution 5: D)<\/strong><\/p>\n\n\n\n<p>Let the speed of boat in upstream and downstream be \u2018x\u2019 km\/h and \u2018y\u2019 km\/h, respectively.<\/p>\n\n\n\n<p>Statement I:<\/p>\n\n\n\n<p>135\/x + 195\/y = 6<\/p>\n\n\n\n<p>135y + 195x = 6xy\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026(1)<\/p>\n\n\n\n<p>So, data in statement I alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement II:<\/p>\n\n\n\n<p>90\/x + 130\/y = 4<\/p>\n\n\n\n<p>90y + 130x = 4xy\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026..(2)<\/p>\n\n\n\n<p>So, data in statement II alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Combining statement I and II we get:<\/p>\n\n\n\n<p>Subtracting equation (1) from equation (2)<\/p>\n\n\n\n<p>45y + 65x = 2xy<\/p>\n\n\n\n<p>Putting value of 2xy in equation (1) we get<\/p>\n\n\n\n<p>135y + 195x = 3 \u00d7 (45y + 65x)<\/p>\n\n\n\n<p>135y + 195x = 135y + 195x<\/p>\n\n\n\n<p>So, we cannot determine the value of \u2018x\u2019 and \u2018y\u2019.<\/p>\n\n\n\n<p>Hence, option d.<\/p>\n\n\n\n<p><strong>Solution 6: B)<\/strong><\/p>\n\n\n\n<p>Let the amount of milk and water in the mixture be 12x ml and 11x ml respectively.<\/p>\n\n\n\n<p>Statement I:<\/p>\n\n\n\n<p>20% of the mixture = 0.2 \u00d7 (12x + 11x) = 4.6x ml<\/p>\n\n\n\n<p>According to question;<\/p>\n\n\n\n<p>(0.8 \u00d7 12x)\/(0.8x \u00d7 11x + 4.6x) = 48\/67<\/p>\n\n\n\n<p>9.6x\/13.4x = 48\/67<\/p>\n\n\n\n<p>48\/67 = 48\/67<\/p>\n\n\n\n<p>So, data in statement I alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement II:<\/p>\n\n\n\n<p>12x\/(11x + 125) = 3\/4<\/p>\n\n\n\n<p>16x = 11x + 125<\/p>\n\n\n\n<p>5x = 125<\/p>\n\n\n\n<p>x = 25<\/p>\n\n\n\n<p>Quantity of water in the mixture = 11 \u00d7 25 = 275 ml<\/p>\n\n\n\n<p>So, data in statement II alone is sufficient to answer the question.<\/p>\n\n\n\n<p>Hence, option b.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Questions with Solutions in Hindi<\/h2>\n\n\n\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928 1:<\/strong>&nbsp;Rajiv \u0914\u0930 Puneet \u090f\u0915 \u0939\u0940 \u0938\u092e\u092f \u092a\u0930 \u0915\u094d\u0930\u092e\u0936\u0903 \u092c\u093f\u0902\u0926\u0941 A \u0914\u0930 \u092c\u093f\u0902\u0926\u0941 B \u0938\u0947 \u090f\u0915 \u0926\u0941\u0938\u0930\u0947 \u0915\u0940 \u0913\u0930 \u092f\u093e\u0924\u094d\u0930\u093e \u0936\u0941\u0930\u0942 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902|Puneet \u0915\u0940 \u0917\u0924\u093f \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902|<\/p>\n\n\n\n<p>Statement I: \u092c\u093f\u0902\u0926\u0941 A \u0914\u0930 \u092c\u093f\u0902\u0926\u0941 B \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0941\u0930\u0940 396 km \u0939\u0948|<\/p>\n\n\n\n<p>Statement II: Rajiv \u0914\u0930 Puneet \u0915\u0940 \u0917\u0924\u093f \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 \u0915\u094d\u0930\u092e\u0936\u0903 6:5 \u0939\u0948|<\/p>\n\n\n\n<p>Statement III: Puneet \u0938\u0947 \u092e\u093f\u0932\u0928\u0947 \u0915\u0947 \u092c\u093e\u0926 \u092c\u093f\u0902\u0926\u0941 B \u092a\u0930 \u092a\u0939\u0941\u0901\u091a\u0928\u0947 \u092e\u0947\u0902 Rajiv \u0915\u094b 3 hours \u0915\u093e \u0938\u092e\u092f \u0932\u0917\u0924\u093e \u0939\u0948|<\/p>\n\n\n\n<p>A) \u0926\u094b\u0928\u094b\u0902 \u0915\u0925\u0928 I \u0914\u0930 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948|<\/p>\n\n\n\n<p>B) \u0926\u094b\u0928\u094b\u0902 \u0915\u0925\u0928 I \u0914\u0930 III \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948|<\/p>\n\n\n\n<p>C) \u0926\u094b\u0928\u094b\u0902 \u0915\u0925\u0928 II \u0914\u0930 III \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948|<\/p>\n\n\n\n<p>D) \u0938\u092d\u0940 \u0915\u0925\u0928 I, II \u0914\u0930 III \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948|<\/p>\n\n\n\n<p>E) \u0938\u092d\u0940 \u0915\u0925\u0928 I, II \u0914\u0930 III \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948|<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928 2:<\/strong>&nbsp;\u0907\u0938 \u092a\u094d\u0930\u0936\u094d\u0928 \u092e\u0947\u0902 \u0926\u094b \u0915\u0925\u0928 I \u0914\u0930 II \u0926\u093f\u090f \u0917\u090f \u0939\u0948\u0902|\u0906\u092a\u0915\u094b \u092f\u0939 \u0924\u092f \u0915\u0930\u0928\u093e \u0939\u0948 \u0915\u093f \u0915\u0925\u0928 \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948 \u092f\u093e \u0928\u0939\u0940\u0902|<\/p>\n\n\n\n<p>\u0924\u0940\u0928 pipes A, B \u0914\u0930 C, \u090f\u0915 tank \u0938\u0947 \u0938\u0902\u0932\u0917\u094d\u0928 \u0939\u0948\u0902|Pipe A \u0914\u0930 B \u0938\u093e\u0925 \u092e\u0947\u0902 tank \u0915\u094b 40 minutes \u092e\u0947\u0902 \u092d\u0930\u0924\u0947 \u0939\u0948\u0902, \u091c\u092c\u0915\u093f pipe B \u0914\u0930 C \u0938\u093e\u0925 \u092e\u0947\u0902 tank \u0915\u094b 50 minutes \u092e\u0947\u0902 \u092d\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902|\u092f\u0926\u093f \u0938\u092d\u0940 pipes \u0915\u094b 4 minutes \u0915\u0947 \u0932\u093f\u090f \u0916\u094b\u0932\u093e \u091c\u093e\u0924\u093e \u0939\u0948 \u092b\u093f\u0930 pipe A \u0914\u0930 C \u092b\u093f\u0930 \u092c\u0902\u0926 \u0915\u0930 \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b tank \u0915\u094b \u0916\u093e\u0932\u0940 \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u0915\u093f\u0924\u0928\u093e \u0938\u092e\u092f \u0932\u0917\u0947\u0917\u093e?<\/p>\n\n\n\n<p>Statement I: Pipe A pipe C \u0938\u0947 20% \u0905\u0927\u093f\u0915 \u0915\u093e\u0930\u094d\u092f\u0915\u0941\u0936\u0932 \u0939\u0948|<\/p>\n\n\n\n<p>Statement II: Pipe A, B \u0914\u0930 C \u0938\u093e\u0925 \u092e\u0947\u0902 tank \u0915\u094b 20 minutes \u092e\u0947\u0902 \u092d\u0930 \u0938\u0915\u0924\u0947 \u0939\u0948\u0902|<\/p>\n\n\n\n<p>A) \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 I \u092e\u0947\u0902 \u0926\u0940 \u0917\u092f\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948, \u091c\u092c\u0915\u093f \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948|<\/p>\n\n\n\n<p>B) \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u092f\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948, \u091c\u092c\u0915\u093f \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 I \u092e\u0947\u0902 \u0926\u0940 \u0917\u092f\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948|<\/p>\n\n\n\n<p>C) \u092f\u093e \u0924\u094b \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 I \u092f\u093e \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u092f\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948|<\/p>\n\n\n\n<p>D) \u0926\u094b\u0928\u094b\u0902 \u0915\u0925\u0928 I \u0914\u0930 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u0938\u0902\u092f\u0941\u0915\u094d\u0924 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948|<\/p>\n\n\n\n<p>E) \u0926\u094b\u0928\u094b\u0902 \u0915\u0925\u0928 I \u0914\u0930 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u0938\u0902\u092f\u0941\u0915\u094d\u0924 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u091c\u0930\u0941\u0930\u0940 \u0939\u0948|<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928 3:<\/strong>&nbsp;\u0907\u0938 \u092a\u094d\u0930\u0936\u094d\u0928 \u092e\u0947\u0902 \u0926\u094b \u0915\u0925\u0928 I \u0914\u0930 II \u0926\u093f\u090f \u0917\u090f \u0939\u0948\u0902|\u0906\u092a\u0915\u094b \u092f\u0939 \u0924\u092f \u0915\u0930\u0928\u093e \u0939\u0948 \u0915\u093f \u0915\u0925\u0928 \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948 \u092f\u093e \u0928\u0939\u0940\u0902|<\/p>\n\n\n\n<p>Dheeraj \u0914\u0930 Samay \u092c\u093f\u0902\u0926\u0941 A \u0938\u0947 \u092c\u093f\u0902\u0926\u0941 B \u0924\u0915 \u0915\u094d\u0930\u092e\u0936\u0903 bus \u0914\u0930 car \u0938\u0947 \u091c\u093e\u0924\u0947 \u0939\u0948\u0902|Bus \u0915\u0940 \u0917\u0924\u093f \u091c\u094d\u091e\u093e\u0924 \u0915\u0930\u0947\u0902|<\/p>\n\n\n\n<p>Statement I: \u092c\u093f\u0902\u0926\u0941 A \u0914\u0930 \u092c\u093f\u0902\u0926\u0941 B \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u0926\u0941\u0930\u0940 320 km \u0939\u0948|\u092c\u093f\u0902\u0926\u0941 B \u092a\u0930 \u092a\u0939\u0941\u0901\u091a\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f bus car \u0938\u0947 160 minutes \u0905\u0927\u093f\u0915 \u0932\u0947\u0924\u093e \u0939\u0948|<\/p>\n\n\n\n<p>Statement II: Bus \u0915\u0940 \u0917\u0924\u093f car \u0915\u0940 \u0917\u0924\u093f \u0915\u093e \u0926\u094b-\u0924\u093f\u0939\u093e\u0908 \u0939\u0948|<\/p>\n\n\n\n<p>A) \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 I \u092e\u0947\u0902 \u0926\u0940 \u0917\u092f\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948, \u091c\u092c\u0915\u093f \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948|<\/p>\n\n\n\n<p>B) \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u092f\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948, \u091c\u092c\u0915\u093f \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 I \u092e\u0947\u0902 \u0926\u0940 \u0917\u092f\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948|<\/p>\n\n\n\n<p>C) \u092f\u093e \u0924\u094b \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 I \u092f\u093e \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u092f\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948|<\/p>\n\n\n\n<p>D) \u0926\u094b\u0928\u094b\u0902 \u0915\u0925\u0928 I \u0914\u0930 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u0938\u0902\u092f\u0941\u0915\u094d\u0924 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948|<\/p>\n\n\n\n<p>E) \u0926\u094b\u0928\u094b\u0902 \u0915\u0925\u0928 I \u0914\u0930 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u0938\u0902\u092f\u0941\u0915\u094d\u0924 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u091c\u0930\u0941\u0930\u0940 \u0939\u0948|<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928 4:<\/strong>&nbsp;\u092a\u094d\u0930\u0936\u094d\u0928 \u092e\u0947\u0902 \u0928\u0940\u091a\u0947 \u0926\u093f\u090f \u0917\u090f \u0926\u094b \u0915\u0925\u0928 \u201cI \u0914\u0930 II\u201d \u0936\u093e\u092e\u093f\u0932 \u0939\u0948\u0902\u0964 \u0906\u092a\u0915\u094b \u092f\u0939 \u0924\u092f \u0915\u0930\u0928\u093e \u0939\u094b\u0917\u093e \u0915\u093f \u0915\u0925\u0928 \u092e\u0947\u0902 \u0926\u093f\u090f \u0917\u090f \u0921\u0947\u091f\u093e \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948\u0902 \u092f\u093e \u0928\u0939\u0940\u0902\u0964<\/p>\n\n\n\n<p>train X \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 \u0915\u093f\u0924\u0928\u0940 \u0939\u0948?<\/p>\n\n\n\n<p>\u0915\u0925\u0928 I: \u0926\u094b trains X \u0914\u0930 Y \u0935\u093f\u092a\u0930\u0940\u0924 \u0926\u093f\u0936\u093e \u0938\u0947 \u090f\u0915-\u0926\u0942\u0938\u0930\u0947 \u0915\u0940 \u0913\u0930 \u092f\u093e\u0924\u094d\u0930\u093e \u0915\u0930\u0924\u0947 \u0939\u0941\u090f \u090f\u0915 \u0926\u0941\u0938\u0930\u0947 \u0915\u094b 10 seconds \u092e\u0947\u0902 \u092a\u093e\u0930 \u0915\u0930\u0924\u0940 \u0939\u0948 \u091c\u092c\u0915\u093f \u0938\u092e\u093e\u0928 \u0926\u093f\u0936\u093e \u092e\u0947\u0902 \u091a\u0932\u0924\u0947 \u0939\u0941\u090f \u090f\u0915 \u0926\u0941\u0938\u0930\u0947 \u0915\u094b 25 seconds \u092e\u0947\u0902 \u092a\u093e\u0930 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902\u0964 train Y \u0915\u0940 \u0932\u0902\u092c\u093e\u0908 80 metres \u0939\u0948\u0964<\/p>\n\n\n\n<p>\u0915\u0925\u0928 II: train X \u0915\u0940 \u0917\u0924\u093f 35 km\/h \u0939\u0948 \u0914\u0930 train Y \u0915\u0940 \u0917\u0924\u093f X \u0915\u0940 \u0924\u0941\u0932\u0928\u093e \u092e\u0947\u0902 \u0915\u092e \u0939\u0948\u0964<\/p>\n\n\n\n<p>A) \u0915\u0925\u0928 I \u092e\u0947\u0902 \u0926\u093f\u090f \u0917\u090f \u0921\u0947\u091f\u093e \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948\u0902, \u091c\u092c\u0915\u093f \u0915\u0925\u0928 II \u092e\u0947\u0902 \u0926\u093f\u090f \u0917\u090f \u0906\u0902\u0915\u0921\u093c\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902\u0964<\/p>\n\n\n\n<p>B) \u0905\u0915\u0947\u0932\u0947 \u0915\u0925\u0928 II \u092e\u0947\u0902 \u0921\u0947\u091f\u093e \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948, \u091c\u092c\u0915\u093f \u0915\u0925\u0928 I \u092e\u0947\u0902 \u0921\u0947\u091f\u093e \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948\u0964<\/p>\n\n\n\n<p>C) \u0921\u0947\u091f\u093e \u092f\u093e \u0924\u094b \u0915\u0925\u0928 I \u092f\u093e \u0915\u0925\u0928 II \u0905\u0915\u0947\u0932\u0947 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948\u0902\u0964<\/p>\n\n\n\n<p>D) I \u0914\u0930 II \u0926\u094b\u0928\u094b\u0902 \u0915\u0925\u0928\u094b\u0902 \u092e\u0947\u0902 \u0926\u093f\u090f \u0917\u090f \u0921\u0947\u091f\u093e \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948\u0902\u0964<\/p>\n\n\n\n<p>E) \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f I \u0914\u0930 II \u0926\u094b\u0928\u094b\u0902 \u0915\u0925\u0928\u094b\u0902 \u0915\u093e \u0921\u0947\u091f\u093e \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u0948\u0964<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928 5:<\/strong>&nbsp;\u0907\u0938 \u092a\u094d\u0930\u0936\u094d\u0928 \u092e\u0947\u0902 \u0926\u094b \u0915\u0925\u0928 I \u0914\u0930 II \u0926\u093f\u090f \u0917\u090f \u0939\u0948\u0902|\u0906\u092a\u0915\u094b \u092f\u0939 \u0924\u092f \u0915\u0930\u0928\u093e \u0939\u0948 \u0915\u093f \u0915\u0925\u0928 \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948 \u092f\u093e \u0928\u0939\u0940\u0902|<\/p>\n\n\n\n<p>\u0936\u093e\u0902\u0924 \u091c\u0932 \u092e\u0947\u0902 250km \u0915\u0940 \u0926\u0941\u0930\u0940 \u0915\u094b \u0924\u092f \u0915\u0930\u0928\u0947 \u092e\u0947\u0902 \u090f\u0915 \u0928\u093e\u0935 \u0915\u094b \u0915\u093f\u0924\u0928\u093e \u0938\u092e\u092f \u0932\u0917\u0924\u093e \u0939\u0948?<\/p>\n\n\n\n<p>\u0915\u0925\u0928 I: \u0928\u093e\u0935 135 km \u0927\u093e\u0930\u093e \u0935\u093f\u0930\u0941\u0926\u094d\u0927 \u0914\u0930 195 km \u0927\u093e\u0930\u093e \u0905\u0928\u0941\u092a\u094d\u0930\u0935\u093e\u0939 \u0915\u094b 6 hours \u092e\u0947\u0902 \u0924\u092f \u0915\u0930\u0924\u0940 \u0939\u0948|<\/p>\n\n\n\n<p>\u0915\u0925\u0928 II: \u0928\u093e\u0935 90 km \u0927\u093e\u0930\u093e \u0935\u093f\u0930\u0941\u0926\u094d\u0927 \u0914\u0930 130km \u0927\u093e\u0930\u093e \u0905\u0928\u0941\u092a\u094d\u0930\u0935\u093e\u0939 \u0915\u094b 4 hours \u092e\u0947\u0902 \u0924\u092f \u0915\u0930\u0924\u0940 \u0939\u0948|<\/p>\n\n\n\n<p>A) \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 I \u092e\u0947\u0902 \u0926\u0940 \u0917\u092f\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948, \u091c\u092c\u0915\u093f \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948|<\/p>\n\n\n\n<p>B) \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u092f\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948, \u091c\u092c\u0915\u093f \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 I \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948|<\/p>\n\n\n\n<p>C) \u092f\u093e \u0924\u094b \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 I \u092f\u093e \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u092f\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948|<\/p>\n\n\n\n<p>D) \u0926\u094b\u0928\u094b\u0902 \u0915\u0925\u0928 I \u0914\u0930 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u0938\u0902\u092f\u0941\u0915\u094d\u0924 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948|<\/p>\n\n\n\n<p>E) \u0926\u094b\u0928\u094b\u0902 \u0915\u0925\u0928 I \u0914\u0930 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u0938\u0902\u092f\u0941\u0915\u094d\u0924 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u0948|<\/p>\n\n\n\n<p><strong>\u092a\u094d\u0930\u0936\u094d\u0928 6:<\/strong>&nbsp;\u0907\u0938 \u092a\u094d\u0930\u0936\u094d\u0928 \u092e\u0947\u0902 \u0926\u094b \u0915\u0925\u0928 I \u0914\u0930 II \u0926\u093f\u090f \u0917\u090f \u0939\u0948\u0902|\u0906\u092a\u0915\u094b \u092f\u0939 \u0924\u092f \u0915\u0930\u0928\u093e \u0939\u0948 \u0915\u093f \u0915\u0925\u0928 \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948 \u092f\u093e \u0928\u0939\u0940\u0902|<\/p>\n\n\n\n<p>\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 12:11 \u0939\u0948|\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<p>\u0915\u0925\u0928 I: 20% \u092e\u093f\u0936\u094d\u0930\u0923 \u0915\u094b \u092a\u093e\u0928\u0940 \u0915\u0940 \u0938\u092e\u093e\u0928 \u092e\u093e\u0924\u094d\u0930\u093e \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 \u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 48:67 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948|<\/p>\n\n\n\n<p>\u0915\u0925\u0928 II: \u092f\u0926\u093f \u092e\u093f\u0936\u094d\u0930\u0923 \u092e\u0947\u0902 125ml \u092a\u093e\u0928\u0940 \u092e\u093f\u0932\u093e\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948, \u0924\u094b \u0926\u0942\u0927 \u0914\u0930 \u092a\u093e\u0928\u0940 \u0915\u093e \u0905\u0928\u0941\u092a\u093e\u0924 3:4 \u0939\u094b \u091c\u093e\u0924\u093e \u0939\u0948|<\/p>\n\n\n\n<p>A) \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 I \u092e\u0947\u0902 \u0926\u0940 \u0917\u092f\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948, \u091c\u092c\u0915\u093f \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948|<\/p>\n\n\n\n<p>B) \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u092f\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u092a\u094d\u0930\u0936\u094d\u0928 \u0915\u093e \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948, \u091c\u092c\u0915\u093f \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 I \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948|<\/p>\n\n\n\n<p>C) \u092f\u093e \u0924\u094b \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 I \u092f\u093e \u0938\u093f\u0930\u094d\u092b \u0915\u0925\u0928 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u092f\u0940 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0939\u0948|<\/p>\n\n\n\n<p>D) \u0926\u094b\u0928\u094b\u0902 \u0915\u0925\u0928 I \u0914\u0930 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u0938\u0902\u092f\u0941\u0915\u094d\u0924 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u092a\u0930\u094d\u092f\u093e\u092a\u094d\u0924 \u0928\u0939\u0940\u0902 \u0939\u0948|<\/p>\n\n\n\n<p>E) \u0926\u094b\u0928\u094b\u0902 \u0915\u0925\u0928 I \u0914\u0930 II \u092e\u0947\u0902 \u0926\u0940 \u0917\u0908 \u0938\u0902\u092f\u0941\u0915\u094d\u0924 \u091c\u093e\u0928\u0915\u093e\u0930\u0940 \u0909\u0924\u094d\u0924\u0930 \u0926\u0947\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u0948|<\/p>\n\n\n\n<p><strong>ANSWER KEYS and SOLUTIONS:<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td>1) \u2013 D)<\/td><td>2) \u2013 C)<\/td><td>3) \u2013 E)<\/td><td>4) \u2013 E)<\/td><td>5) \u2013 D)<\/td><td>6) \u2013 B)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p><strong>Solution 1: D)<\/strong><\/p>\n\n\n\n<p>Statement I:<\/p>\n\n\n\n<p>Distance between point A and point B is 396 km.<\/p>\n\n\n\n<p>So, statement I alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement II:<\/p>\n\n\n\n<p>Let, speed of Rajiv and Puneet be 6x km\/h and 5x km\/h, respectively.<\/p>\n\n\n\n<p>So, statement II alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement III:<\/p>\n\n\n\n<p>Rajiv takes 3 hours to reach point B after meeting Puneet.<\/p>\n\n\n\n<p>So, statement III alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement I and statement II:<\/p>\n\n\n\n<p>Distance between point A and point B is 396 km.<\/p>\n\n\n\n<p>Let, speed of Rajiv and Puneet be 6x km\/h and 5x km\/h, respectively.<\/p>\n\n\n\n<p>So, Statement I and statement II together is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement I and statement III:<\/p>\n\n\n\n<p>Distance between point A and point B = 396 km<\/p>\n\n\n\n<p>Let, distance travelled by Puneet to meet Rajiv = \u2018y\u2019 km<\/p>\n\n\n\n<p>And, distance travelled by Rajiv to meet Puneet = \u2018396 \u2013 y\u2019 km<\/p>\n\n\n\n<p>Speed of Rajiv = y\/3 km\/h<\/p>\n\n\n\n<p>So, Statement I and statement III together is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement II and statement III:<\/p>\n\n\n\n<p>Let, speed of Rajiv and Puneet be 6x km\/h and 5x km\/h, respectively.<\/p>\n\n\n\n<p>Ratio of time taken by Rajiv and Puneet to reach their respective destination = 5: 6<\/p>\n\n\n\n<p>Time taken by Puneet to meet Rajiv = (6\/5) \u00d7 3 = 3.6 hours<\/p>\n\n\n\n<p>So, Statement II and statement III together is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement I, II, and III:<\/p>\n\n\n\n<p>Let, speed of Rajiv and Puneet be 6x km\/h and 5x km\/h, respectively.<\/p>\n\n\n\n<p>Distance between point A and point B = 396 km<\/p>\n\n\n\n<p>Ratio of time taken by Rajiv and Puneet to reach their respective destination = 5: 6<\/p>\n\n\n\n<p>Time taken by Puneet to meet Rajiv = (6\/5) \u00d7 3 = 3.6 hours<\/p>\n\n\n\n<p>So, 6x \u00d7 3.6 + 5x \u00d7 3.6 = 396<\/p>\n\n\n\n<p>39.6x = 396, x = 10<\/p>\n\n\n\n<p>Speed of Puneet = 5x = 50 km\/h<\/p>\n\n\n\n<p>So, statement I, statement II and statement III together is necessary to answer the question.<\/p>\n\n\n\n<p>Hence, option d.<\/p>\n\n\n\n<p><strong>Solution 2: C)<\/strong><\/p>\n\n\n\n<p>Let the capacity of the tank be LCM of (40 and 50) = 200 units<\/p>\n\n\n\n<p>Number of units of water filled by pipe (A + B) together in one minute = 200\/40 = 5 units<\/p>\n\n\n\n<p>Number of units of water filled by pipe (B + C) together in one minute = 200\/50 = 4 units<\/p>\n\n\n\n<p>Statement I:<\/p>\n\n\n\n<p>So, number of units of water filled by pipe (A + B + B + C) together in one minute = 5 + 4 = 9 units<\/p>\n\n\n\n<p>Now, A + 2B + C = 9<\/p>\n\n\n\n<p>Since, the efficiency of A is 20% more than C.<\/p>\n\n\n\n<p>So, 1.2C + 2B + C = 9<\/p>\n\n\n\n<p>2B + 2.2C = 9 \u2014-(1)<\/p>\n\n\n\n<p>And, B + C = 4 \u2014-(2)<\/p>\n\n\n\n<p>Solving eq. (1) and eq. (2), we get<\/p>\n\n\n\n<p>C = 5 units and A = 6 units<\/p>\n\n\n\n<p>So, number of units of water emptied by pipe B in one minute = 6 \u2013 5 = 1 unit<\/p>\n\n\n\n<p>Number of units of water filled by pipe A, B and C together in one minute = 6 + 5 \u2013 1 = 10 units<\/p>\n\n\n\n<p>So, number of units of water filled by pipe A, B and C together in 4 minute = 40 units<\/p>\n\n\n\n<p>Required time taken to empty the tank = 40\/1 = 40 minutes<\/p>\n\n\n\n<p>So, statement I alone is sufficient to answer the question.<\/p>\n\n\n\n<p>Statement II:<\/p>\n\n\n\n<p>So, number of units of water filled by pipe (A + B + C) together in one minute = 200\/20 = 10 units<\/p>\n\n\n\n<p>Number of units of water filled by pipe A in one minute = 10 \u2013 4 = 6 units<\/p>\n\n\n\n<p>Number of units of water emptied by pipe B in one minute = 6 \u2013 5 = 1 unit<\/p>\n\n\n\n<p>So, number of units of water filled by pipe A, B and C together in 4 minute = 40 units<\/p>\n\n\n\n<p>Required time taken to empty the tank = 40\/1 = 40 minutes<\/p>\n\n\n\n<p>So, statement II alone is sufficient to answer the question.<\/p>\n\n\n\n<p>Hence, option c.<\/p>\n\n\n\n<p><strong>Solution 3: E)<\/strong><\/p>\n\n\n\n<p>Statement I:<\/p>\n\n\n\n<p>Let, time taken by car be \u2018t\u2019 hours.<\/p>\n\n\n\n<p>So, time taken by bus = \u2018t + 160\/60\u2019 hours<\/p>\n\n\n\n<p>And, distance between point A and point B = 320 km<\/p>\n\n\n\n<p>So, data in statement I alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement II:<\/p>\n\n\n\n<p>Let, speed of bus and car be \u20182x\u2019 km\/h and \u20183x\u2019 km\/h respectively.<\/p>\n\n\n\n<p>So, data in statement II alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Combining statement I and II:<\/p>\n\n\n\n<p>Let, speed of bus and car be \u20182x\u2019 km\/h and \u20183x\u2019 km\/h respectively.<\/p>\n\n\n\n<p>So, 320\/2x \u2013 320\/3x = 160\/60<\/p>\n\n\n\n<p>(960 \u2013 640)\/6x = 8\/3<\/p>\n\n\n\n<p>40 = 2x<\/p>\n\n\n\n<p>So, speed of bus = 2x = 40 km\/h<\/p>\n\n\n\n<p>So, the data in both statements I and II together are necessary to answer the question.<\/p>\n\n\n\n<p>Hence, option e.<\/p>\n\n\n\n<p><strong>Solution 4: E)<\/strong><\/p>\n\n\n\n<p>Let speed of train X and Y be x km\/h and y km\/h, respectively.<\/p>\n\n\n\n<p>Let length of train X be \u2018l\u2019 metres.<\/p>\n\n\n\n<p>Statement I:<\/p>\n\n\n\n<p>According to question,<\/p>\n\n\n\n<p>(l + 80) = 10 \u00d7 (x +y)\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026(1)<\/p>\n\n\n\n<p>(l + 80) = 25 \u00d7 (x \u2013 y)\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026(2)<\/p>\n\n\n\n<p>From (1) and (2)<\/p>\n\n\n\n<p>10 \u00d7 (x + y) = 25 \u00d7 (x \u2013 y)<\/p>\n\n\n\n<p>7y = 3x<\/p>\n\n\n\n<p>Therefore, statement I alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement II:<\/p>\n\n\n\n<p>Speed of train X = 35 km\/h<\/p>\n\n\n\n<p>Therefore, statement II alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Combining statements, I and II,<\/p>\n\n\n\n<p>Speed of train X = 35 km\/h<\/p>\n\n\n\n<p>So, 7y = 3 \u00d7 35<\/p>\n\n\n\n<p>y = 15 km\/h<\/p>\n\n\n\n<p>From equation (1)<\/p>\n\n\n\n<p>(l + 80) = 10 \u00d7 (x + y)<\/p>\n\n\n\n<p>l + 80 = 10 \u00d7(35 + 15) \u00d7 5\/18<\/p>\n\n\n\n<p>l = 139 \u2013 80 ~ 59 metres<\/p>\n\n\n\n<p>Therefore, statement I and statement II together are necessary to answer the question.<\/p>\n\n\n\n<p>Hence, option e.<\/p>\n\n\n\n<p><strong>Solution 5: D)<\/strong><\/p>\n\n\n\n<p>Let the speed of boat in upstream and downstream be \u2018x\u2019 km\/h and \u2018y\u2019 km\/h, respectively.<\/p>\n\n\n\n<p>Statement I:<\/p>\n\n\n\n<p>135\/x + 195\/y = 6<\/p>\n\n\n\n<p>135y + 195x = 6xy\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026(1)<\/p>\n\n\n\n<p>So, data in statement I alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement II:<\/p>\n\n\n\n<p>90\/x + 130\/y = 4<\/p>\n\n\n\n<p>90y + 130x = 4xy\u2026\u2026\u2026\u2026\u2026\u2026\u2026\u2026..(2)<\/p>\n\n\n\n<p>So, data in statement II alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Combining statement I and II we get:<\/p>\n\n\n\n<p>Subtracting equation (1) from equation (2)<\/p>\n\n\n\n<p>45y + 65x = 2xy<\/p>\n\n\n\n<p>Putting value of 2xy in equation (1) we get<\/p>\n\n\n\n<p>135y + 195x = 3 \u00d7 (45y + 65x)<\/p>\n\n\n\n<p>135y + 195x = 135y + 195x<\/p>\n\n\n\n<p>So, we cannot determine the value of \u2018x\u2019 and \u2018y\u2019.<\/p>\n\n\n\n<p>Hence, option d.<\/p>\n\n\n\n<p><strong>Solution 6: B)<\/strong><\/p>\n\n\n\n<p>Let the amount of milk and water in the mixture be 12x ml and 11x ml respectively.<\/p>\n\n\n\n<p>Statement I:<\/p>\n\n\n\n<p>20% of the mixture = 0.2 \u00d7 (12x + 11x) = 4.6x ml<\/p>\n\n\n\n<p>According to question;<\/p>\n\n\n\n<p>(0.8 \u00d7 12x)\/(0.8x \u00d7 11x + 4.6x) = 48\/67<\/p>\n\n\n\n<p>9.6x\/13.4x = 48\/67<\/p>\n\n\n\n<p>48\/67 = 48\/67<\/p>\n\n\n\n<p>So, data in statement I alone is not sufficient to answer the question.<\/p>\n\n\n\n<p>Statement II:<\/p>\n\n\n\n<p>12x\/(11x + 125) = 3\/4<\/p>\n\n\n\n<p>16x = 11x + 125<\/p>\n\n\n\n<p>5x = 125<\/p>\n\n\n\n<p>x = 25<\/p>\n\n\n\n<p>Quantity of water in the mixture = 11 \u00d7 25 = 275 ml<\/p>\n\n\n\n<p>So, data in statement II alone is sufficient to answer the question.<\/p>\n\n\n\n<p>Hence, option b.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-white-color has-vivid-cyan-blue-background-color has-text-color has-background wp-element-button\" href=\"https:\/\/www.practicemock.com\/?next=https%3A%2F%2Fwww.practicemock.com%2Fs1pricing%2Findex.php%3Fc%3Dpremium&amp;ref=11426\" target=\"_blank\" rel=\"noreferrer noopener\"><strong><strong>Click Here to Get the Latest, Most Effective, &amp; Affordable Packages For Banking &amp; SSC Exams<\/strong><\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td colspan=\"2\"><strong>Blogs Related to IBPS RRB Clerk Exam<\/strong><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-clerk\/ibps-rrb-clerk\/\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS RRB Clerk 2024 Notification<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-clerk\/ibps-rrb-clerk-exam-pattern\/\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS RRB Clerk Exam Pattern 2024<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-clerk\/ibps-rrb-clerk-syllabus\/\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS RRB Clerk Syllabus 2024<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-clerk\/ibps-rrb-clerk-salary\/\">IBPS RRB Clerk Salary 2024<\/a><\/td><\/tr><tr><td><a href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-clerk\/ibps-rrb-clerk-cut-off\/\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS RRB Clerk Cut Off 2024<\/a><\/td><td><a href=\"https:\/\/www.practicemock.com\/blog\/ibps-rrb-clerk\/ibps-rrb-clerk-previous-year-question-paper\/\" target=\"_blank\" rel=\"noreferrer noopener\">IBPS RRB Clerk Previous Year Question Paper<\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">Data Sufficiency for IBPS RRB Exam FAQs<\/h2>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1721033560405\"><strong class=\"schema-faq-question\">What is Data Sufficiency?<\/strong> <p class=\"schema-faq-answer\">Data Sufficiency tests if the given information is enough to answer a question.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1721033563387\"><strong class=\"schema-faq-question\">Why are Data Sufficiency questions important for the IBPS RRB Exam?<\/strong> <p class=\"schema-faq-answer\">They are an important part of the Reasoning section. They assess candidates&#8217; decision-making skills.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1721033564604\"><strong class=\"schema-faq-question\">What types of questions are covered in Data Sufficiency?<\/strong> <p class=\"schema-faq-answer\">They include Blood Relation, Order &amp; Ranking, Coding-Decoding, Direction &amp; Distance, Seating Arrangement, Floor Puzzle, and Scheduling.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1721033565545\"><strong class=\"schema-faq-question\">What is the main strategy for solving Data Sufficiency questions?<\/strong> <p class=\"schema-faq-answer\">Focus on checking if the data is sufficient without finding the final answer.<\/p> <\/div> <div class=\"schema-faq-section\" id=\"faq-question-1721033566435\"><strong class=\"schema-faq-question\">How can candidates improve their Data Sufficiency skills?<\/strong> <p class=\"schema-faq-answer\">Practice maximum questions and take mock tests to enhance speed and accuracy.<\/p> <\/div> <\/div>\n","protected":false},"excerpt":{"rendered":"<p>Know how to master the Data Sufficiency for IBPS RRB Exam. Check all sample questions with solutions and get a free mock test.<\/p>\n","protected":false},"author":6,"featured_media":101727,"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":[22],"tags":[],"class_list":["post-101615","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-banking-insurance"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Data Sufficiency For IBPS RRB Exam, Check All Questions<\/title>\n<meta name=\"description\" content=\"Know how to master the Data Sufficiency for IBPS RRB Exam. 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