Passage Based Practice Questions on Quantitative Techniques

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Passage​​ 1Ross​​ received​​ a​​ lot​​ of​​ gifts​​ for​​ her​​ wedding.​​ The​​ gifts​​ received​​ were​​ both​​ in​​ cash​​ and​​ the​​ commodities​​ and​​ the​​ total​​ value​​ of​​ the​​ gifts​​ was​​ 300000.​​ The​​ cash​​ received​​ was​​ in​​ the​​ 73100. ​​​​ All​​ the​​ cash​​ received​​ by​​ them​​ in​​ the​​ form​​ of​​ currency​​ notes​​ Rs.2000,​​ Rs.1000,​​ Rs.500​​ and​​ Rs.200.​​ There​​ were​​ 17​​ notes​​ of​​ the​​ one​​ denomination,​​ 25​​ notes​​ of​​ the​​ second​​ denomination,​​ 21​​ notes​​ of​​ the​​ third​​ denomination​​ and​​ 18​​ notes​​ of​​ the​​ fourth​​ denominations.​​ Ross​​ decided​​ to​​ spend​​ this​​ money​​ equally​​ on​​ a​​ shirt​​ and​​ tie.​​  What​​ percentage​​ of​​ the​​ total​​ value​​ of​​ the​​ gifts​​ received​​ by​​ Ross​​ was​​ by​​ way​​ of​​ cash?(Approx.)31%18%24%27%Which​​ of​​ the​​ options​​ below​​ states​​ the​​ correct​​ number​​ of​​ currency​​ notes​​ of​​ eachDenomination​​ received​​ by​​ Ross?17​​ notes​​ of​​ Rs.​​ 2000;​​ 25​​ notes​​ of​​ Rs​​ 1000;​​ 21​​ notes​​ of​​ Rs.​​ 500;​​ 18​​ notes​​ of​​ Rs.​​ 200​​ 18​​ notes​​ of​​ Rs.​​ 2000;​​ 25​​ notes​​ of​​ Rs​​ 1000;​​ 29​​ notes​​ of​​ Rs.​​ 500;​​ 18​​ notes​​ of​​ Rs.​​ 200​​ 17​​ notes​​ of​​ Rs.​​ 2000;​​ 36​​ notes​​ of​​ Rs​​ 1000;​​ 21​​ notes​​ of​​ Rs.​​ 500;​​ 18​​ notes​​ of​​ Rs.​​ 200​​ 17​​ notes​​ of​​ Rs.​​ 2000;​​ 25​​ notes​​ of​​ Rs​​ 1000;​​ 26​​ notes​​ of​​ Rs.​​ 500;​​ 18​​ notes​​ of​​ Rs.​​ 200​​ 3.​​ If​​ along​​ with​​ shirt​​ and​​ tie,​​ Ross​​ also​​ wants​​ to​​ buy​​ an​​ expensive​​ trousers​​ and​​ therefore​​ decides​​ to​​ divide​​ the​​ money​​ for​​ shirt,​​ tie​​ and​​ trousers​​ in​​ the​​ ration​​ of​​ 1:1:2.​​ Which​​ of​​ the​​ following​​ represents​​ the​​ correct​​ amount​​ spent​​ by​​ her?Rs.​​ 19786​​ on​​ shirt​​ and​​ tie​​ each​​ and​​ Rs.​​ 34250​​ on​​ trousersRs.​​ 18275​​ on​​ shirt​​ and​​ glass​​ each​​ and​​ Rs.​​ 36550​​ on​​ trousersRs.​​ 15318​​ on​​ shirt​​ and​​ tie​​ each​​ and​​ Rs.​​ 40250​​ on​​ trousersRs.​​ 16786​​ on​​ shirt​​ and​​ tie​​ each​​ and​​ Rs.​​ 34250​​ on​​ trousers Passage​​ 2The​​ Delhi​​ Transport​​ Corporation​​ manages​​ a​​ large​​ number​​ of​​ buses​​ running​​ from​​ one​​ end​​ to​​ the​​ other​​ and​​ connecting​​ all​​ the​​ cities​​ in​​ the​​ country.​​ In​​ the​​ following​​ questions,​​ certain​​ vital​​ information​​ with​​ respect​​ to​​ time,​​ speed​​ or​​ distance​​ is​​ given​​ for​​ different​​ buses, ​​​​ calculate​​ as​​ asked.The​​ length​​ of​​ the​​ bridge,​​ which​​ a​​ bus​​ 130​​ metres​​ long​​ and​​ travelling​​ at​​ 45​​ km/hr​​ can​​ cross​​ in​​ 30​​ seconds,​​ is:200​​ m225​​ m245​​ m250​​ m A​​ bus​​ 125​​ m​​ long​​ passes​​ a​​ man,​​ running​​ at​​ 5​​ km/hr​​ in​​ the​​ same​​ direction​​ in​​ which​​ the​​ bus​​ is​​ going,​​ in​​ 10​​ seconds.​​ The​​ speed​​ of​​ the​​ bus​​ is:A.45​​ km/hr50​​ km/hr54​​ km/hr55​​ km/hr A​​ bus​​ passes​​ a​​ station​​ platform​​ in​​ 36​​ seconds​​ and​​ a​​ man​​ standing​​ on​​ the​​ platform​​ in​​ 20​​ seconds.​​ If​​ the​​ speed​​ of​​ the​​ bus​​ is​​ 54​​ km/hr,​​ what​​ is​​ the​​ length​​ of​​ the​​ platform?​​ 120​​ m240​​ m300​​ mNone​​ of​​ thesePassage​​ 3A​​ group​​ of​​ 3​​ friends​​ decide​​ to​​ go​​ on​​ a​​ trip​​ together​​ from​​ Delhi​​ but​​ because​​ of​​ a​​ huge​​ fight​​ at​​ the​​ last​​ minute,​​ the​​ group​​ splits.​​ But​​ then​​ each​​ of​​ them​​ decide​​ to​​ go​​ on​​ a​​ solo​​ trip​​ on​​ their​​ respective​​ vehicles​​ to​​ various​​ destinations​​ across​​ India.​​ With​​ the​​ information​​ given​​ below​​ in​​ each​​ case,​​ answer​​ the​​ questions​​ that​​ follow.Shubham​​ decided​​ to​​ travel​​ to ​​​​ Goa​​ from​​ Delhi.​​ She​​ met​​ with​​ a​​ small​​ accident​​ 80​​ Km​​ away​​ from​​ Cuttack​​ and​​ continued​​ the​​ remaining​​ journey​​ at​​ 4/5​​ of​​ her​​ original​​ speed​​ and​​ reached​​ Kharagpur ​​​​ 1​​ hour​​ and​​ 24​​ minutes​​ late.​​ If​​ she​​ had​​ met​​ with​​ the​​ accident​​ 40​​ Km​​ further,​​ she​​ would​​ have​​ been​​ an​​ hour​​ late.​​ The​​ original​​ speed​​ at​​ which​​ Priyanshi​​ drove​​ was:33​​ km/hr45​​ km/hr25​​ km/hr30​​ km/hrRanjan​​ decided​​ to​​ go​​ to​​ Shimla​​ on​​ his​​ bike. ​​​​ If​​ he​​ decreases​​ his​​ speed​​ by​​ 15​​ km/hr​​ ,​​ he​​ takes​​ 45​​ hours​​ more​​ than​​ the​​ normal​​ time​​ that​​ he ​​​​ will​​ take​​ and​​ if​​ increases​​ the​​ speed​​ by​​ 10km/hr,​​ he​​ takes​​ 20​​ hours​​ less​​ than​​ the​​ normal​​ (original)​​ time.​​ The​​ distance​​ he​​ covered​​ is:9750​​ km5678​​ km7895​​ km8734​​ kmAnkit​​ decides​​ to​​ travel​​ to​​ his​​ destination​​ via​​ bus.​​ There​​ are​​ two​​ buses​​ A​​ and​​ B​​ which​​ are​​ 100​​ m​​ and​​ 150​​ m​​ long​​ respectively​​ and​​ are​​ moving​​ at​​ one​​ another​​ at​​ 54​​ Km/hr​​ and​​ 36​​ Km/hr​​ respectively.​​ Ankit​​ is​​ sitting​​ on​​ coach​​ B1​​ of​​ Bus​​ A.​​ Calculate​​ the​​ time​​ taken​​ by​​ the​​ trains​​ to​​ completely​​ cross​​ each​​ other.6​​ sec10​​ sec11​​ sec8​​ sec    (function( $ ) { //footnotes $('.defaultNote').children(":first").css('cursor', 'pointer'); $('.defaultNote').children(":first").click(function(){ var gotoID = '#' + $(this).parent().attr('id'); $('html, body').animate( { scrollTop: $('a[href="' + gotoID + '"]').offset().top - 60, }, 250, 'linear' ) }); }(jQuery)); var numFormat = ",."; (function( $ ) { "use strict"; //do some cleaning on load var sortCells = $('td[data-sorting], th[data-sorting]'); sortCells.each(function(){ var first = $(this).text().trim().charAt(0); if (first == '@'){ var oldHTML = $(this).html(); var newHTML = oldHTML.replace('@', ''); $(this).html(newHTML); } }); function sortingTable(node, pos, ordBy){ var rows = node.children('tbody').children('tr').get(); rows.sort(function(a, b) { var X = $(a).children('td').eq(pos).text().toUpperCase(); var Y = $(b).children('td').eq(pos).text().toUpperCase(); if (numFormat != '.,'){ //we are dealing with a different locale and we need to do some //transformation in numbers X = convert2number(X); Y = convert2number(Y); } else { X = X.replace(/,/g, '').replace(/ /g, ''); Y = Y.replace(/,/g, '').replace(/ /g, ''); } var currencies = ['$', '¥', '£', '€']; var arrayLength = currencies.length; var XX = X; var YY = Y; for (var i = 0; i < arrayLength; i++) { XX = XX.replace(currencies[i], ''); YY = YY.replace(currencies[i], ''); } if (!isNaN(XX) && !isNaN(YY)){ var floatXX = parseFloat(XX); var floatYY = parseFloat(YY); return -(floatYY-floatXX) * ordBy; } else if (!isNaN(XX) && isNaN(YY)){ return -1 * ordBy; } else if (isNaN(XX) && !isNaN(YY)){ return ordBy; } else { if(X < Y) { return -1 * ordBy; } if(X > Y) { return 1 * ordBy; } return 0; } }); $.each(rows, function(index, row) { node.children('tbody').append(row); }); } function removeTableCellDecoration() { $("td[data-sorting], th[data-sorting]").removeClass('sortDecorator'); } //unbind the click event just in case we are loading more than one document $("td[data-sorting], th[data-sorting]").off('click'); $("td[data-sorting], th[data-sorting]").click(function(){ removeTableCellDecoration(); $(this).addClass('sortDecorator'); //get desired ordering var ordering = $(this).attr('data-sortOrdering'); if (ordering == 'ASC'){ var ordBy = -1; $(this).attr('data-sortOrdering', 'DESC'); } else { var ordBy = 1; $(this).attr('data-sortOrdering', 'ASC'); } var cellPosition = $(this).prevAll().length; var table = $(this).parents('table:first'); sortingTable(table, cellPosition, ordBy); }); function convert2number(str) { str = str.trim(); if (str.match(/^\d+/)) { //we have to take special care when the thousand separators are '.' var result_0 = str.replace(/\./g, '_@_'); var result_1 = result_0.replace(window.numFormat[0], '.'); var result = result_1.replace(/_@_/g, ''); result .replace(/ /g, ''); return result; } else { return str; } } }(jQuery));