Mock Questions to Practice Ratio for Quantitative Section of CLAT 2022

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Mock Questions to Practice Ratio for Quantitative Section of CLAT 2020Upon the death of the father, the entire property is divided among the sons A, B, C and​​ D in​​ the ratio 4:1:3:2. If the value of the entire property is Rs.​​ 35​​ lakh, how much more should​​ be given to B​​ so that B and C have equal property?If train A and ​​ train B have equal speed and train B covers the distance of 500 km. in 12 hours, then ​​ how long will it take for train A to cover the distance of 1000 km?If two numbers are in the ratio of 7:11 and​​ the smaller number is 90​​ more than 1/3 of the greater number. Find the numbers?In the field of Mathematics, it was observed that the ratio of​​ female scholars to the ratio of​​ male scholars is 2:9. If the total number of scholars in the field of mathematics are 220, find the difference between no. of male and female scholars.If a piece of agricultural land is jointly owned by two brothers X and Y in the ratio 3:7 and the total area of field is 40 Acre, and brother X sells it at Rs. 60000 per Acre whereas​​ Brother Y sells it at Rs. 45000 per Acre, find the total money received.In a treasure hidden in a fort, the money was kept in the form of Gold, Silver, and bronze coins​​ in the​​ ratio of 4:9:15​​ where the value of Gold, Silver, and bronze coins is Rs. 1000, Rs. 500 and Rs. 100 respectively. If the total value of the treasure is Rs. 70000. Find the no. of Silver coins.If the price of 7 dozens of banana is Rs. 2800, find the price of 25 bananas.In 2 L of shikanji, the ratio of water to other contents in 1: 4. Find the quantity of other contents in 50 L of Shikanji.​​ The price of two current affairs Magazines X and Y are in the ratio 5:2. If we increase the price of​​ Y by Rs. 75, the new ratio becomes​​ 10:7. Calculate the price of Magazine X. DO IT YOURSELF!!If the two numbers are in the ratio 4:9 and the greater number is 108 less than thrice the smaller number, find the greater number.ANSWERS WITH EXPLANATIONLet the property to A,​​ B,​​ C and D be 4x, x, 3x and 2x.4x + x+3x+ 2x = 35 lakh10x = 35 lakhx = 3.5 lakhProperty to B = x = Rs. 3.5 lakhProperty to​​ C = 3x = 3 * 3.5 = Rs. 10.5 lakhEqual amount to B and C​​ ​​ = (3.5+ 10.5)/2 = 7 lakhTherefore, B must be given 3.5 lakh more.Speed of train B = ​​ 500/12 = 41.6 km/hRequired time = 1000/ 41.6 = 24 hours (approx.)Let the two numbers be 7x and 11 x respectively.7x = (11x/3) + 90x = 27Smaller number = 7x = 189Greater number = 11x = 297Let the number of female scholars and male scholars be 2x and 9x respectively.As per the question,2x+9x = 22011x = 220​​ x = 220/11 = 20No. of female scholars = 2x​​ ​​ = 40No. of male scholars = 9x = 180Required Difference = 180-40 = 140Let the area of fie;d owned by X and Y be 3x and 7x respectively.3x + 7x = 40 acre10x = 40X = 4 AcreLand owned by X = 3x = 12 AcreLand owned by Y = 7x = 28 AcreMoney Received by X = 60000* 12 = Rs. 720000Money recieed by Y = 45000* 28 = Rs.​​ 1260000Total money = Rs. 1980000Let the no. of​​ Gold, Silver, and bronze coins​​ be 4x, 9x and 15 x respectively.As per the question,4x (1000)+ 9x(500) + 15x( 100) = 700004000x+ 4500x + 1500x = 7000010000x = 70000x = 7No. of silver​​ coins = 9x = 9*7 = 637 dozen = 7* 12 = 84 bananas​​ Price of 25 bananas = (2800/84) * 25 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = Rs. 833.33Let the water and​​ other contents​​ in x and 4x respectivelyx+ 4x = 25x = 2X = 2/5 = 0.4 LOther content in 1 L = 0.4/2 = 0.2 LOther content​​ in​​ 50 L = 0.2 * 50 = 10 LLet the prices of the​​ Current Affair Magazine X and Y be 5x and 2x respectively.5x/ (2x+75) = 10:735x = 20x + 750x = 50Therefore, Price of magazine X = 5x = 5* 50 = Rs. 250  (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));