{"id":65273,"date":"2020-11-20T22:02:44","date_gmt":"2020-11-20T16:32:44","guid":{"rendered":"https:\/\/www.oliveboard.in\/blog\/?p=65273"},"modified":"2020-12-21T15:59:43","modified_gmt":"2020-12-21T10:29:43","slug":"decimal-and-fraction-questions-for-rrb-ntpc","status":"publish","type":"post","link":"https:\/\/www.oliveboard.in\/blog\/decimal-and-fraction-questions-for-rrb-ntpc\/","title":{"rendered":"Practice Questions for Decimals and Fractions for RRB NTPC"},"content":{"rendered":"<p>Decimal and fraction questions for RRB NTPC is one of those topics which can be solved quickly and if done with accuracy will fetch you marks.<\/p>\n<p>Decimals and fractions are part of each other and closely related. Some important things to be noted are that there are some things which, if remembered correctly will help students solve Decimal and fraction questions for RRB NTPC questions more quickly. For example, 0.25 can be written as 1\/4 which will help solve questions.<\/p>\n<h2><strong>Decimal and Fraction questions for RRB NTPC\u00a0<\/strong><\/h2>\n<p>Here are some practice questions which will help you get an idea on how to solve decimal and fraction questions for RRB NTPC effectively.<\/p>\n<p>Q1. Find a fraction in which if the numerator is tripled and the denominator is increased by 9 fractions becomes 3\/7. If the denominator is tripled and the numerator is increased by 3 then it becomes 1\/3.<\/p>\n<p>a) 2\/3<\/p>\n<p>b) 1\/2<\/p>\n<p>c) 2\/5<\/p>\n<p>d) 2\/7<\/p>\n<p>Answer key: c<\/p>\n<p>Solution:<\/p>\n<p>Let the fraction be m\/n<\/p>\n<p>Given, 3m\/(n+9) = 3\/7<\/p>\n<p>21m = 3n + 27 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 &#8212; (1)<\/p>\n<p>and (m+3)\/3n = 1\/3<\/p>\n<p>3m + 9 = 3n<\/p>\n<p>3m = 3n \u2013 9 \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 &#8212; (2)<\/p>\n<p>Solving (1) and (2) we get,<\/p>\n<p>m = 2 and n = 5<\/p>\n<p>So the fraction = 2\/5<\/p>\n<p><a href=\"https:\/\/www.oliveboard.in\/railways-rrb\/?ref=b-20-11-cka4\"><strong>Attempt a FREE RRB NTPC mock test here.<\/strong><\/a><\/p>\n<p>Q2. Express 1. 123123.. into (p\/q) form.<\/p>\n<p>a) 374\/333<\/p>\n<p>b) 382\/333<\/p>\n<p>c) 371\/330<\/p>\n<p>d) 367\/330<\/p>\n<p>Answer key: a<\/p>\n<p>Solution:<\/p>\n<p>Let X = 1. 123123\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 .. (I)<\/p>\n<p>1000X = 1123. 123123\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 .. (II)<\/p>\n<p>(II) \u2013 (I) gives:<\/p>\n<p>999X = 1122<\/p>\n<p>X = 374\/333<\/p>\n<p><a href=\"https:\/\/www.oliveboard.in\/free-ebook-pdf-download\/?ref=b-20-11-cka4\"><strong>Download FREE e-books on various topics of RRB here.<\/strong><\/a><\/p>\n<p>Q3. Calculate the fractional value of 1.212121&#8230;.<\/p>\n<p>a) 1(7\/33)<\/p>\n<p>b) 1(5\/33)<\/p>\n<p>c) 1(9\/11)<\/p>\n<p>d) 1(4\/11)<\/p>\n<p>Answer key: a<\/p>\n<p>Solution:<\/p>\n<p>Let X = 1.212121\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 &#8230;.(i)<\/p>\n<p>Then, 100X = 121.2121\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 &#8230;(ii)<\/p>\n<p>On subtracting (i) by (ii), we get<\/p>\n<p>99X = 120<\/p>\n<p>Then, X = 1(7\/33)<\/p>\n<p><a href=\"https:\/\/www.oliveboard.in\/railways-rrb\/?ref=b-20-11-cka4\"><strong>Attempt a FREE RRB NTPC mock test here.<\/strong><\/a><\/p>\n<p>Q4. What is the value of: (4.2*3.47 \u2013 4.2*1.22)\/(0.7*2.4 + 2.4*1.68 \u2013 3.612) ?<\/p>\n<p>a) 3<\/p>\n<p>b) 2.5<\/p>\n<p>c) 5<\/p>\n<p>d) 4.5<\/p>\n<p>Answer key: d<\/p>\n<p>Solution:<\/p>\n<p>(4.2*3.47 \u2013 4.2*1.22)\/(0.7*2.4 + 2.4*1.68 \u2013 3.612)<\/p>\n<p>= (4.2(3.47 \u2013 1.22))\/(1.4(1.2 + 2.4*1.2 \u2013 2.58))<\/p>\n<p>= (3*2.25)\/1.5<\/p>\n<p>= 4.5<\/p>\n<p><a href=\"https:\/\/www.oliveboard.in\/free-ebook-pdf-download\/?ref=b-20-11-cka4\"><strong>Download FREE e-books on various topics of RRB here.<\/strong><\/a><\/p>\n<p>Q5. What is the average of the reciprocal of a and b?<\/p>\n<p>a) (a+b)\/ab<\/p>\n<p>b) (a+b)\/2ab<\/p>\n<p>c) 2(a+b)\/ab<\/p>\n<p>d) (2a+b)\/ab<\/p>\n<p>Answer key: b<\/p>\n<p>Solution:<\/p>\n<p>The reciprocal of a and b are 1\/a, 1\/b<\/p>\n<p>So, the required average = (1\/a + 1\/b)\/ 2<\/p>\n<p>= (a+b)\/2ab<\/p>\n<p><a href=\"https:\/\/www.oliveboard.in\/railways-rrb\/?ref=b-20-11-cka4\"><strong>Attempt a FREE RRB NTPC mock test here.<\/strong><\/a><\/p>\n<p>Q6. \u00a0If 7 is added to both the numerator and the denominator of a fraction then the fraction becomes 3\/4. If 5 is subtracted from both of them then the fraction becomes 2\/3. Find the sum of the numerator and denominator.<\/p>\n<p>a) 70<\/p>\n<p>b) 39<\/p>\n<p>c) 60<\/p>\n<p>d) 41<\/p>\n<p>Answer key: a<\/p>\n<p>Solution:<\/p>\n<p>Let the fraction be x\/y so, (x + 7)\/ (y + 7) = 3\/4\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 &#8230;.. (1)<\/p>\n<p>And, (x &#8211; 5)\/ (y &#8211; 5) = 2\/3\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0&#8230;.. (2)<\/p>\n<p>Solving we get, x = 29 and y = 41.<\/p>\n<p>So x + y = 70.<\/p>\n<p>We hope this post helped you understand the different types of decimal and fraction questions for RRB NTPC. For more such practice questions, register at <a href=\"https:\/\/www.oliveboard.in\/bank-exams\/?ref=b-20-11-cka3\">Oliveboard<\/a>.<\/p>\n<p><a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.oliveboard.prep\"><strong>Study at your own convenience anywhere. Download the Oliveboard app now!<\/strong><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Decimal and fraction questions for RRB NTPC is one of those topics which can be solved quickly and if done<\/p>\n","protected":false},"author":2,"featured_media":65274,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1,10231],"tags":[],"class_list":["post-65273","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-articles","category-ssc-railways","generate-columns","tablet-grid-50","mobile-grid-100","grid-parent","grid-50"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.6 (Yoast SEO v26.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Practice Questions for Decimals and Fractions for RRB NTPC<\/title>\n<meta name=\"description\" content=\"Here are some practice questions which will help you get an idea on how to solve decimal and fraction questions for RRB NTPC effectively.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.oliveboard.in\/blog\/decimal-and-fraction-questions-for-rrb-ntpc\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Practice Questions for Decimals and Fractions for RRB NTPC\" \/>\n<meta property=\"og:description\" content=\"Decimal and fraction questions for RRB NTPC is one of those topics which can be solved quickly and if done with accuracy will fetch you marks. 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