{"id":27446,"date":"2019-04-15T13:55:43","date_gmt":"2019-04-15T08:25:43","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=27446"},"modified":"2019-04-15T13:55:43","modified_gmt":"2019-04-15T08:25:43","slug":"rrb-je-data-sufficiency-questions-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/rrb-je-data-sufficiency-questions-pdf\/","title":{"rendered":"RRB JE Data Sufficiency Questions PDF"},"content":{"rendered":"<h1><span style=\"text-decoration: underline;\"><strong>RRB JE Data Sufficiency Questions PDF<\/strong><\/span><\/h1>\n<p>Download Top 20 RRB JE Data Sufficiency Questions and Answers PDF. RRB JE Data Sufficiency questions based on asked questions in previous exam papers very important for the Railway JE exam.<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/downloads\/4031\" target=\"_blank\" class=\"btn btn-danger  download\">Download RRB JE Data Sufficiency Questions PDF<\/a><\/p>\n<!-- Error, Advert is not available at this time due to schedule\/geolocation restrictions! -->\n<p>Download <a href=\"https:\/\/cracku.in\/rrb-je-previous-papers\" target=\"_blank\" rel=\"noopener\">RRB JE Previous Papers PDF<\/a><\/p>\n<p><b>Question 1:\u00a0<\/b>In this question two statements I and II are given. Study both the sentences and analyse which one is sufficient to answer the question.<br \/>\nIs x=y?<br \/>\nStatement I: $(x-23)^2 = (y-23)^2$<br \/>\nStatement II: $(x+y)(\\frac{1}{x} + \\frac{1}{y}) &#8211; 4 = 0$<\/p>\n<p>a)\u00a0The question can be answered by using one of the statements alone but not by the other statement alone.<\/p>\n<p>b)\u00a0The question can be answered by using either statement alone.<\/p>\n<p>c)\u00a0The question can be answered by using both the statements together.<\/p>\n<p>d)\u00a0The question cannot be answered even by using both the statements together.<\/p>\n<p><b>Question 2:\u00a0<\/b>Amongst six distinct positive integers, 13 is the highest while 5 is the lowest. What is the average of the six numbers?<br \/>\nStatement 1: The sum of the six numbers is 11 more than the square of an integer.<br \/>\nStatement 2: Exactly half of the numbers are prime and the sum of the numbers is also prime.<\/p>\n<p>a)\u00a0Statement 1 alone is sufficient to answer the question<\/p>\n<p>b)\u00a0Statement 2 alone is sufficient to answer the question<\/p>\n<p>c)\u00a0Statement 1 and 2 together are sufficient to answer the question<\/p>\n<p>d)\u00a0Both the statements together are also not sufficient to answer the question<\/p>\n<p><b>Question 3:\u00a0<\/b>Read the following information and choose the appropriate option.<br \/>\nWhat is Ram\u2019s present age?<br \/>\nStatement I: 5 years ago Ram\u2019s age was twice the age of Shyam. Shyam\u2019s age was a perfect square back then and even now his age is a perfect square.<br \/>\nStatement II: Ram\u2019s age is 5 times the age of Mohan whose current age is the largest single digit prime number.<\/p>\n<p>a)\u00a0The question can be answered by using one of the statements alone but not by the other statement alone.<\/p>\n<p>b)\u00a0The question can be answered by using either statement alone.<\/p>\n<p>c)\u00a0The question can be answered by using both the statements together.<\/p>\n<p>d)\u00a0The question cannot be answered even by using both the statements together.<\/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 JE YOUTUBE VIDEOS<\/a><\/p>\n<!-- Error, Advert is not available at this time due to schedule\/geolocation restrictions! -->\n<p><b>Question 4:\u00a0<\/b>Is B taller than D?<strong>Statement 1:<\/strong> A is taller than B who is shorter than C.<br \/>\n<strong>Statement 2:<\/strong> C is taller than D who is taller than A.<\/p>\n<p>a)\u00a0Statement 1 alone is sufficient to answer the question<\/p>\n<p>b)\u00a0Statement 2 alone is sufficient to answer the question<\/p>\n<p>c)\u00a0Either Statement alone is sufficient to answer the question<\/p>\n<p>d)\u00a0Both Statement 1 and Statement 2 together are sufficient to answer this question<\/p>\n<p>e)\u00a0Both Statement 1 and Statement 2 together are also not sufficient to answer this question<\/p>\n<p><b>Instructions<\/b><\/p>\n<p>Each of the questions below consists of a question and two statements numbered 1\u00a0and 2\u00a0given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n<p><b>Question 5:\u00a0<\/b>Two persons A and B are standing some distance apart and start moving towards each other. They meet after a time \u2018t\u2019 seconds. What was the distance between them before they started moving towards each other? <strong>Statement 1:<\/strong> The speeds of A and B are \u2018v1\u2019 and \u2018v2\u2019 respectively.<br \/>\n<strong>Statement 2:<\/strong> The speeds of A and B are in the ratio 2:3.<\/p>\n<p>a)\u00a0If the data in statement I alone is sufficient to answer the question while the data in statement II alone is not.<\/p>\n<p>b)\u00a0If the data in statement II alone is sufficient to answer the question while the data in statement I alone is not.<\/p>\n<p>c)\u00a0If the data in both the statements together is sufficient to answer the question.<\/p>\n<p>d)\u00a0If the data in either statement alone is sufficient.<\/p>\n<p>e)\u00a0If the data even in both statements together is not sufficient to answer the question.<\/p>\n<p><b>Question 6:\u00a0<\/b>Is x(y+2) an odd number, where x and y are distinct integers?<br \/>\n<strong>Statement I<\/strong>: x and y are prime numbers<br \/>\n<strong>Statement II<\/strong>: y&gt;11<\/p>\n<p>a)\u00a0If the data in statement I alone is sufficient to answer the question while the data in statement II alone is not.<\/p>\n<p>b)\u00a0If the data in statement II alone is sufficient to answer the question while the data in statement I alone is not.<\/p>\n<p>c)\u00a0If the data in both the statements together is sufficient to answer the question.<\/p>\n<p>d)\u00a0If the data in either statement alone is sufficient.<\/p>\n<p>e)\u00a0If the data even in both statements together is not sufficient to answer the question.<\/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<!-- Error, Advert is not available at this time due to schedule\/geolocation restrictions! -->\n<p><b>Question 7:\u00a0<\/b>In the decimal representation of a, where 0 &lt; a &lt; 1, is the digit in tenths place a non-zero number?<br \/>\n<strong>Statement I<\/strong>: 16a is an integer<br \/>\n<strong>Statement II<\/strong>: 32a is an integer<\/p>\n<p>a)\u00a0If the data in statement I alone is sufficient to answer the question while the data in statement II alone is not.<\/p>\n<p>b)\u00a0If the data in statement II alone is sufficient to answer the question while the data in statement I alone is not.<\/p>\n<p>c)\u00a0If the data in both the statements together is sufficient to answer the question.<\/p>\n<p>d)\u00a0If the data in either statement alone is sufficient.<\/p>\n<p>e)\u00a0If the data even in both statements together is not sufficient to answer the question.<\/p>\n<p><b>Question 8:\u00a0<\/b>In a school 40% of the students in 12th standard are in Commerce stream and the rest in Science stream. If 20% of the students in Science stream are females, what is the percentage of males in the commerce stream?<br \/>\n<strong>Statement I<\/strong>. The number of females in the Science stream is 36 less than the number of boys<br \/>\n<strong>Statement II<\/strong>. forty-percent of all students in 12th standard are females<\/p>\n<p>a)\u00a0if the data in statement I alone is sufficient to answer the question while the data in statement II alone is not.<\/p>\n<p>b)\u00a0if the data in statement II alone is sufficient to answer the question while the data in statement I alone is not.<\/p>\n<p>c)\u00a0if the data in both the statements together is sufficient to answer the question.<\/p>\n<p>d)\u00a0if the data in either statement alone is sufficient.<\/p>\n<p>e)\u00a0if the data even in both statements together is not sufficient to answer the question.<\/p>\n<p><b>Question 9:\u00a0<\/b>Is the positive integer X divisible by 12?<br \/>\n<strong>Statement I<\/strong>. When X is divided by 16 the remainder is 4<br \/>\n<strong>Statement II<\/strong>. When X is divided by 18 the remainder is 6<\/p>\n<p>a)\u00a0if the data in statement I alone is sufficient to answer the question while the data in statement II alone is not.<\/p>\n<p>b)\u00a0if the data in statement II alone is sufficient to answer the question while the data in statement I alone is not.<\/p>\n<p>c)\u00a0if the data in both the statements together is sufficient to answer the question.<\/p>\n<p>d)\u00a0if the data in either statement alone is sufficient.<\/p>\n<p>e)\u00a0if the data even in both statements together is not sufficient to answer the question.<\/p>\n<p><b>Question 10:\u00a0<\/b>6 friends A, B, C, D, E, F are standing in a straight line according to their heights. (The tallest person is standing at the first position and shortest is at 6th position). Who is the shortest among the six?I A is taller than B, who in turn is taller than C and E<br \/>\nII E is three places behind B and 1 place ahead of F<\/p>\n<p>a)\u00a0If only statement I is sufficient to answer the question.<\/p>\n<p>b)\u00a0If only statement II is sufficient to answer the question.<\/p>\n<p>c)\u00a0If either of the statement taken alone is sufficient.<\/p>\n<p>d)\u00a0If question cannot be answered using both the statements.<\/p>\n<p>e)\u00a0If both the statements are required to answer the question.<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rrb-je-mock-test\" target=\"_blank\" class=\"btn btn-info orange\">RRB JE Free Mock Test<\/a><\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rrb-je-mock-test\" target=\"_blank\" class=\"btn btn-primary \">RRB JE Free Mock Test (latest pattern)<\/a><\/p>\n<!-- Error, Advert is not available at this time due to schedule\/geolocation restrictions! -->\n<p><b>Instructions<\/b><\/p>\n<p>Each of the questions below consists of a question and two statements numbered 1\u00a0and 2\u00a0given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.<\/p>\n<p><b>Question 11:\u00a0<\/b>N is 2 digit number such that it has an odd number of factors. What is the sum of the digits of N?<br \/>\n<strong>Statement I.<\/strong> The sum of the digits is not divisible by 3<br \/>\n<strong>Statement II.<\/strong> The sum of the digits is even<\/p>\n<p>a)\u00a0If the data in statement I alone is sufficient to answer the question while the data in statement II alone is not.<\/p>\n<p>b)\u00a0If the data in statement II alone is sufficient to answer the question while the data in statement I alone is not.<\/p>\n<p>c)\u00a0If the data in both the statements together is sufficient to answer the question.<\/p>\n<p>d)\u00a0If the data in either statement alone is sufficient.<\/p>\n<p>e)\u00a0If the data even in both statements together is not sufficient to answer the question.<\/p>\n<p><b>Question 12:\u00a0<\/b>In a class of some students, 22 play harmonica, 30 play keyboard, and 28 play guitar. How many students play all the three instruments?<br \/>\nStatement I: The number of students who play exactly two instruments is 6<br \/>\nStatement II: The total number of students in the class is 150% more than the number of students who play guitar<\/p>\n<p>a)\u00a0The question can be answered using only statement I alone or only statement II alone.<\/p>\n<p>b)\u00a0The question can be answered using either statement alone.<\/p>\n<p>c)\u00a0The question can be answered only by using both statements together.<\/p>\n<p>d)\u00a0The question cannot be answered even by using both statements together.<\/p>\n<p><b>Question 13:\u00a0<\/b>Is x = y?<br \/>\nStatement 1: x+3y+4z = 80<br \/>\nStatement 2: 3x+2y+5z = 100<\/p>\n<p>a)\u00a0Statement 1 alone is sufficient to answer the question while Statement 2 alone is not<\/p>\n<p>b)\u00a0Statement 2 alone is sufficient to answer the question while Statement 1 alone is not<\/p>\n<p>c)\u00a0Both the statements together are sufficient to answer the question<\/p>\n<p>d)\u00a0Both the statements together are also not sufficient to answer the question<\/p>\n<p><b>Question 14:\u00a0<\/b>Two persons start running simultaneously around a circular track from the same point, at the same time and in the same direction. What is the ratio of speeds of the faster runner to that of the slower one?<br \/>\nI. The length of the track is 450m<br \/>\nII. When they met for the sixth time after starting the race, the slower person covered a distance of 3700m<\/p>\n<p>a)\u00a0The question can be answered by using statement I alone or using statement II alone<\/p>\n<p>b)\u00a0The question can be answered by using either statement alone.<\/p>\n<p>c)\u00a0The question can be answered only by using both statements together.<\/p>\n<p>d)\u00a0The question cannot be answered even by using both statements together.<\/p>\n<p><b>Question 15:\u00a0<\/b>A banker\u2019s salary is the sum of his fixed income and performance bonus. Did the banker\u2019s fixed income account for more than 50% of his salary?<br \/>\nStatement 1: Had the amount of performance bonus been 30% more, then his salary would have been 10% higher.<br \/>\nStatement 2: The difference between his fixed income and performance bonus is half that of his fixed income.<\/p>\n<p>a)\u00a0Statement 1 alone is sufficient to answer the question but Statement 2 alone is not sufficient.<\/p>\n<p>b)\u00a0Statement 2 alone is sufficient to answer the question but Statement 1 alone is not sufficient.<\/p>\n<p>c)\u00a0Both the statements together are necessary to answer the question.<\/p>\n<p>d)\u00a0Both the statements combined are also not sufficient to answer the question.<\/p>\n<p class=\"text-center\"><a href=\"https:\/\/cracku.in\/rrb-online-test\" target=\"_blank\" class=\"btn btn-primary \">Daily Free Online Tests for RRB Exams<\/a><\/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-info \">Download RRB GK Material PDF<\/a><\/p>\n<!-- Error, Advert is not available at this time due to schedule\/geolocation restrictions! -->\n<p><b>Question 16:\u00a0<\/b>Is $x^3 &gt; x$?<br \/>\nStatement 1: $x^2 &gt; x$<br \/>\nStatement 2: x &lt; 0<\/p>\n<p>a)\u00a0Either of the statements is sufficient to answer the question<\/p>\n<p>b)\u00a0One of the statements alone is sufficient to answer the question but the other is not<\/p>\n<p>c)\u00a0Both the statements together are only sufficient to answer the question<\/p>\n<p>d)\u00a0Even both statements together is not sufficient to answer the question<\/p>\n<p><b>Question 17:\u00a0<\/b>How many people in city A eat pizza if all the people in city A eat either pizza or burger but not both.<br \/>\nStatement 1: 75% of the 10000 people of city A eat burger<br \/>\nStatement 2: 6500 people of city A eat burger<\/p>\n<p>a)\u00a0Only Statement 1 alone is sufficient to answer the question<\/p>\n<p>b)\u00a0Only Statement 2 alone is sufficient to answer the question<\/p>\n<p>c)\u00a0Either of the statements alone is sufficient to answer the question<\/p>\n<p>d)\u00a0Only both the statements together are sufficient to answer the question<\/p>\n<p><b>Question 18:\u00a0<\/b>Two persons start running simultaneously around a circular track from the same point, at the same time and in the same direction. What is the ratio of speeds of the faster runner to that of the slower one?<br \/>\nI. The length of the track is 450m<br \/>\nII. When they met for the sixth time after starting the race, the slower person covered a distance of 3700m<\/p>\n<p>a)\u00a0The question can be answered by using statement I alone or using statement II alone<\/p>\n<p>b)\u00a0The question can be answered by using either statement alone.<\/p>\n<p>c)\u00a0The question can be answered only by using both statements together.<\/p>\n<p>d)\u00a0The question cannot be answered even by using both statements together.<\/p>\n<p><b>Question 19:\u00a0<\/b>A banker\u2019s salary is the sum of his fixed income and performance bonus. Did the banker\u2019s fixed income account for more than 50% of his salary?<br \/>\nStatement 1: Had the amount of performance bonus been 30% more, then his salary would have been 10% higher.<br \/>\nStatement 2: The difference between his fixed income and performance bonus is half that of his fixed income.<\/p>\n<p>a)\u00a0Statement 1 alone is sufficient to answer the question but Statement 2 alone is not sufficient.<\/p>\n<p>b)\u00a0Statement 2 alone is sufficient to answer the question but Statement 1 alone is not sufficient.<\/p>\n<p>c)\u00a0Both the statements together are necessary to answer the question.<\/p>\n<p>d)\u00a0Both the statements combined are also not sufficient to answer the question.<\/p>\n<p><b>Question 20:\u00a0<\/b>Is $x^3 &gt; x$?<br \/>\nStatement 1: $x^2 &gt; x$<br \/>\nStatement 2: x &lt; 0<\/p>\n<p>a)\u00a0Either of the statements is sufficient to answer the question<\/p>\n<p>b)\u00a0One of the statements alone is sufficient to answer the question but the other is not<\/p>\n<p>c)\u00a0Both the statements together are only sufficient to answer the question<\/p>\n<p>d)\u00a0Even both statements together is not sufficient to answer the question<\/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-danger \">General Science Notes for RRB Exams (PDF)<\/a><\/p>\n<!-- Error, Advert is not available at this time due to schedule\/geolocation restrictions! -->\n<p><span style=\"text-decoration: underline;\"><strong>Answers &amp; Solutions:<\/strong><\/span><\/p>\n<p><strong>1)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>Statement I: $(x-23)^2 = (y-23)^2$<br \/>\n=&gt; $x-23 = \\pm (y-23)$<br \/>\n=&gt; x=y or x+y = 46<br \/>\nStatement II: $(x+y)(\\frac{1}{x} + \\frac{1}{y}) &#8211; 4 = 0$<br \/>\n=&gt; $\\frac{(x+y)^2}{xy} = 4 $<br \/>\n=&gt; $\\frac{x^2 + y^2 + 2xy}{xy} = 4 $<br \/>\n=&gt; $\\frac{x^2 + y^2}{xy} = 2 $ or $x^2 + y^2 -2xy = 0$<br \/>\n=&gt; $(x-y)^2 = 0$ or x=y<\/p>\n<p>We can see that the question can be answered using statement 2 alone. Thus, A is the correct answer.<\/p>\n<p><strong>2)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>The numbers must range from [5,13]<br \/>\nSince both 5 and 13 are included in the six numbers, the other 4 numbers must be among 6, 7, 8, 9, 10, 11 and 12.<br \/>\nLet\u2019s consider statement 1. So, the sum of the six numbers is 11 more than a perfect square. Min and Max sum of the six numbers can be 48 and 60. So the only perfect square that we should consider is 49. So, the sum of the six numbers should be 49+11 = 60<br \/>\nThis is only possible when the six numbers are 5, 9, 10, 11, 12, 13. Since the sum of the numbers is known, the average can be calculated.<br \/>\nStatement 2: So, exactly 3 of the six numbers are prime and the sum of the numbers is also prime.<br \/>\nNow, 5 and 13 are both prime. So, the third number should be either 7 or 11.<br \/>\nLet\u2019s consider 7 as the third prime.<br \/>\nSo, the sum should be 5+7+13 + (Sum of 3 composite numbers among 6, 8, 9, 10, and 12) or 25 + (Sum of 3 composite numbers among 6, 8, 9, 10, and 12) prime.<br \/>\nBut, none of the combination yields a prime sum.<br \/>\nLet\u2019s assume 11 is the third prime.<br \/>\nSo, the sum should be 5+11+13 + (Sum of 3 composite numbers among 6, 8, 9, 10, and 12) or 29 + (Sum of 3 composite numbers among 6, 8, 9, 10, and 12) prime.<br \/>\nSo, there are 2 possible cases when sum is prime.<br \/>\n(i) When the numbers are (5+11+13+6+8+10) where the sum is 53, and<br \/>\n(ii) When the numbers are (5+11+13+8+10+12) where the sum is 59<br \/>\nWe can see that the average will be different in both the cases. So, II is not sufficient.<br \/>\nThus, A is the correct answer.<\/p>\n<p><strong>3)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>From I, the only possible age of Shyam is 9 years (Since the difference between his present age and his age 5 years ago are perfect squares with a difference of 5)<br \/>\nSince we know Shyam\u2019s age we can easily find the Ram\u2019s age as well. 5 years ago Ram&#8217;s age was twice the age of Shyam. So Shyam&#8217;s age would have been 4. Thus, Ram&#8217;s age would have been 8. Thus his present age would be 13.<br \/>\nThus I alone is sufficient to answer the question.<br \/>\nFrom II, we know that Moan\u2019s age is 7. Thus, Ram\u2019s age would be 35.<br \/>\nHence even statement II alone is sufficient. Hence the correct answer is option B.<\/p>\n<p><strong>4)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>From the statements we know that the decreasing order of heights is:<br \/>\nC&gt;D&gt;A and<br \/>\nA&gt;B&lt;C<br \/>\nCombining these statements we know that, D&gt;A&gt;B. So B is shorter than D.<\/p>\n<p><strong>5)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>From statement 1 we know that their speeds are v1 and v2. So the distance will be (v1+v2)*t.<br \/>\nFrom the second statement we only know the ratio of the speeds and without the absolute values we cannot compute the distance between them.<\/p>\n<p><strong>6)\u00a0Answer\u00a0(E)<\/strong><\/p>\n<p>x(y+2)<br \/>\nI: x and y are prime.<br \/>\nSo, if any of x and y is 2, x(y+2) is a even number. While, when both are odd x(y+2) is also odd.<br \/>\nII: y&gt;11<br \/>\nThis is clearly not sufficient as even y will yield even number and odd x and y will yield odd number.<br \/>\nUsing I and II together:<br \/>\nSo, x=2 then the number is even, and when x is odd prime number, the number is odd.<br \/>\nThus, the question cannot be answered even by using both statements together.<\/p>\n<p><strong>7)\u00a0Answer\u00a0(E)<\/strong><\/p>\n<p>I: If 16a is an integer, a can be 1\/2, 1\/4, 1\/8, 1\/16 or 0.5, 0.25, 0.125, 0.0625<br \/>\nThus, from this statement, we can\u2019t infer that the tenth decimal digit is non-zero.<br \/>\nII: If 32a is an integer, a can be 1\/2, 1\/4, 1\/8, 1\/16, 1\/32 or 0.5, 0.25, 0.125, 0.0625, 0.03125<br \/>\nThus, from this statement, we can\u2019t infer that the tenth decimal digit is non-zero.<br \/>\nIf both statements are used, we can infer that \u2018a\u2019 is one among 0.5, 0.25, 0.125, 0.0625.<br \/>\nBut, even then we can\u2019t conclude that the tenth decimal digit is non-zero since 0.0625 has 0 has tenth decimal digit.<br \/>\nThus, the answer is E.<\/p>\n<p><strong>8)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>Let the total number of students in 12th standard be x. Then total students in Commerce = .4x and students in Science = .6x<br \/>\nNumber of females in the Science stream = .6x $\\times$2 = .12x Thus, no. of males in the Science stream = .48x<br \/>\nFrom Statement I, .48x &#8211; .12x = 36<br \/>\n=&gt; .36x = 36. Thus, x = 100. From this we cannot find the percentage of males in Commerce stream.<br \/>\nFrom statement II, Total girls in 12th = .4x<br \/>\nThus, total girls in Commerce stream = .4x &#8211; .12x = .28x<br \/>\nThus, total males in Commerce stream = Total students in Commerce &#8211; girls in Commerce = .4x &#8211; .28x = .12x<br \/>\nFrom this we can find the percent of male students in Commerce. Thus, B alone is enough to answer the given question.<\/p>\n<p><strong>9)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>We have to find whether the given statements are enough to find whether X is divisible by 12 i.e. X is divisible by both 3 and 4.<br \/>\nFrom statement I, X is of the form 16m + 4. 16m + 4 is divisible by 4 but we cannot know whether X is divisible by 3 or not. Thus, statement I alone is not sufficient to answer the given question.<br \/>\nFrom statement II, X is of the form 18k + 6. 18k + 6 is divisible by 3 but we cannot know whether X is divisible by 4 or not. Thus, statement II alone is not sufficient sufficient to answer the given question.<br \/>\nIf we combine both the statements we find that X is divisible by both 3 and 4. Thus, both statements together can answer if X is divisible by 12. Thus, C is the right choice.<\/p>\n<p><strong>10)\u00a0Answer\u00a0(E)<\/strong><\/p>\n<p>From statement I alone, we cannot determine the position of anyone.<br \/>\nFrom statement II alone, we can infer some structure, but still we can&#8217;t conclude who is the shortest.<br \/>\nBut if combine both the statements, then from statement II, we can be sure that B is either at 1st position on at 2nd position. But from statement I, the possibility of B being at the first position can be ruled out. Hence B stands at 2nd position. So C is at fifth and F is at 6th.<br \/>\nHence if we combine both the statements together, then we can answer the given question.<\/p>\n<p><strong>11)\u00a0Answer\u00a0(B)<\/strong><\/p>\n<p>We are given that N is a two digit number having odd number of factors.<br \/>\nSo we can say that N is a perfect square.<br \/>\n2 digit perfect squares are 16, 25, 36, 49, 64, 81<br \/>\nThe sum of the digits of these numbers is as follow<br \/>\n16 &#8211; 7<br \/>\n25 &#8211; 7<br \/>\n36 &#8211; 9<br \/>\n49 &#8211; 13<br \/>\n64 &#8211; 10<br \/>\n81 &#8211; 9<br \/>\nFrom statement I we can rule out 9 but we still have 4 possibilities left. Hence we cannot answer the question from statement I alone.<br \/>\nFrom statement II, we know that the sum of the digits is even. There\u2019s only one sum which is even. i.e 10 Hence from we cannot answer the question using statement II alone.<\/p>\n<p><strong>12)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>The number of students who don\u2019t play any instrument has not been mentioned in the question or in the two statements. Without it, the number of students who play all the three instruments cannot be found out. Thus, the answer is D.<\/p>\n<p><strong>13)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>To find the relation between x and y we first have to eliminate z.<br \/>\nMultiplying the equation from Statement 1 by 5 we get,<br \/>\n5x+15y+20z = 400 &#8212;- (1)<br \/>\nMultiplying the equation from Statement 2 by 4 we get,<br \/>\n12x+8y+20z = 400 &#8212;- (2)<br \/>\nSubtracting equation (1) from (2) we get, x = y.<\/p>\n<p><strong>14)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Let a m\/s be the speed of the faster person and b m\/s be the speed of the slower person<br \/>\nIn statement I, only the length of the track is given. We cannot find the ratio of their speeds from this information alone.<br \/>\nIn statement II, the distance travelled by the slower person is given but not the distance of the faster person. Thus, again we cannot find the ratio of their speeds from this information alone.<br \/>\nIf we combine both information we get, the length of track is 450m and distance travelled by the slower person after six meetings as 3700m.<br \/>\nWhen the two people meet for the first time, the faster one travels extra distance equal to the length of the track. Thus, the distance travelled by the faster persons after six meetings = 3700+ 450 x 6 = 6400m<br \/>\nThus, in equal time the faster one and the slower one travels 6400m and 3700m respectively.<br \/>\nThus, the ratio of their speeds = 6400\/3700 = 64 : 37<br \/>\nThus, the question can be answered if we combine both the statements together.<\/p>\n<p><strong>15)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>Let the fixed income be I, performance bonus be B and the total salary be S.<br \/>\n$S = I+B$<\/p>\n<p>From Statement 1 we know that, $I+\\frac{13B}{10}=\\frac{11S}{10}$<br \/>\n=&gt; $\\frac{10I}{11}+\\frac{13B}{11}=S=B+I$<br \/>\n=&gt; $2B = I$<br \/>\nFrom this we can say that the banker\u2019s fixed income accounted for more than 50% of his salary. Hence the question can be answered using Statement 1 alone.<\/p>\n<p>From Statement 2 we just know that the difference between his fixed income and performance bonus is half that of his fixed income but we do not know which one is higher. The answer to the question asked differs depending on which is higher. So it cannot be answered using Statement 2 alone.<\/p>\n<p><strong>16)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>According to Statement 1, either x&lt;0 or x&gt;1. When x belongs to (-1,0) $x^3&gt;x$ and when x&lt;-1 $x^3&lt;x$.<\/p>\n<p>According to Statement 2, x&lt;0. Again we can use the same above example. So Statement 2 is not sufficient.<\/p>\n<p>Hence both the statements together are also not sufficient to answer the question.<\/p>\n<p><strong>17)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>Using Statement 1 we can answer the number of people who eat pizza as we know the total population and also the number of people who eat burger.<br \/>\nBut in Statement 2 the total population of City A is not given and is thus not sufficient to answer the question.<\/p>\n<p>Hence Statement 1 alone is sufficient to answer the question.<\/p>\n<p><strong>18)\u00a0Answer\u00a0(C)<\/strong><\/p>\n<p>Let a m\/s be the speed of the faster person and b m\/s be the speed of the slower person<br \/>\nIn statement I, only the length of the track is given. We cannot find the ratio of their speeds from this information alone.<br \/>\nIn statement II, the distance travelled by the slower person is given but not the distance of the faster person. Thus, again we cannot find the ratio of their speeds from this information alone.<br \/>\nIf we combine both information we get, the length of track is 450m and distance travelled by the slower person after six meetings as 3700m.<br \/>\nWhen the two people meet for the first time, the faster one travels extra distance equal to the length of the track. Thus, the distance travelled by the faster persons after six meetings = 3700+ 450 x 6 = 6400m<br \/>\nThus, in equal time the faster one and the slower one travels 6400m and 3700m respectively.<br \/>\nThus, the ratio of their speeds = 6400\/3700 = 64 : 37<br \/>\nThus, the question can be answered if we combine both the statements together.<\/p>\n<p><strong>19)\u00a0Answer\u00a0(A)<\/strong><\/p>\n<p>Let the fixed income be I, performance bonus be B and the total salary be S.<br \/>\n$S = I+B$<\/p>\n<p>From Statement 1 we know that, $I+\\frac{13B}{10}=\\frac{11S}{10}$<br \/>\n=&gt; $\\frac{10I}{11}+\\frac{13B}{11}=S=B+I$<br \/>\n=&gt; $2B = I$<br \/>\nFrom this we can say that the banker\u2019s fixed income accounted for more than 50% of his salary. Hence the question can be answered using Statement 1 alone.<\/p>\n<p>From Statement 2 we just know that the difference between his fixed income and performance bonus is half that of his fixed income but we do not know which one is higher. The answer to the question asked differs depending on which is higher. So it cannot be answered using Statement 2 alone.<\/p>\n<p><strong>20)\u00a0Answer\u00a0(D)<\/strong><\/p>\n<p>According to Statement 1, either x&lt;0 or x&gt;1. When x belongs to (-1,0) $x^3&gt;x$ and when x&lt;-1 $x^3&lt;x$.<\/p>\n<p>According to Statement 2, x&lt;0. Again we can use the same above example. So Statement 2 is not sufficient.<\/p>\n<p>Hence both the statements together are also not sufficient to answer the question.<\/p>\n<!-- Error, Advert is not available at this time due to schedule\/geolocation restrictions! -->\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 Data Sufficiency Questions for RRB JE Exam will be highly useful for your preparation.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>RRB JE Data Sufficiency Questions PDF Download Top 20 RRB JE Data Sufficiency Questions and Answers PDF. RRB JE Data Sufficiency questions based on asked questions in previous exam papers very important for the Railway JE exam. Download RRB JE Previous Papers PDF Question 1:\u00a0In this question two statements I and II are given. Study [&hellip;]<\/p>\n","protected":false},"author":41,"featured_media":27448,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[169,125,31,1605],"tags":[489,491,1635,1647],"class_list":{"0":"post-27446","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-je","11":"tag-railway-exam","12":"tag-rrb","13":"tag-rrb-je","14":"tag-rrb-mocks"},"better_featured_image":{"id":27448,"alt_text":"RRB JE Data Sufficiency Questions PDF","caption":"RRB JE Data Sufficiency Questions PDF","description":"RRB JE Data Sufficiency Questions 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