Quantitative Techniques Mixed Bag Questions for Practice

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Quantitative Techniques Mixed Bag Questions for PracticeThe ratio of people with Hindi as mother tongue​​ and English as Mother tongue in a seminar be 4: 9. If total no. of people are 1170, calculate the no. of person who have​​ Hindi​​ as their mother tongue.If the ratio of speed of Car A to Car B is 2:3 and on increasing the speed of car A by 51 km/h, the new ratio becomes 5:3, calculate the original speed of car AA mother distributes a sum of Rs. 15000 among her​​ children,​​ W,​​ ​​ X, Y and Z​​ in the ratio of 6:4:2:3. How much more money​​ should X get so that X and Z have equal money.IF 80%​​ of 600 is y% more than 70% of 400. Find y.To make a profit of 35%, the commodity bought at Rs. 20000, should be sold at what price?Calculate the time taken by a boat to travel​​ 50 km​​ upstream if its speed while going downstream is​​ 12​​ km/h and its speed in still water is 10 km/h.If the train 200m long running at the speed of 120 km/h overtakes a train 100 m long in 120 seconds, calculate the speed of 100 m. long train.If the dustbins are placed at a distance of 6 m in the garden and Amar walks at a speed of 4 km/hr., how many dustbins will Amar cross in 10 minutes?Find the average of all the odd numbers between 12 and 30?Ashish and Alok are travelling in their respective cars from Point A to Point B at 80 km/h and 120 km/hr.​​ respectively and Ashish​​ reaches 1​​ hours late than Alok .Calculate the distance between​​ Point​​ A and Point B.Navya sells 55% of the total​​ notebooks and throws 20% of the​​ remainder and on next day, 40% of the remainder from previous day was sold. If the total no. of notebooks is 1000,​​ find the no. of notebooks that are not sold yet.If the distance covered by both X and Y is same and the ratio of their speed in 1:4, find the ratio of the time taken by them to cover the distance.Dileep​​ marked​​ the price of a watch at 50% more than the cost price and then sold it at a discount of​​ 10%. Calculate the profit percentage. ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ Find the average speed if a man covers a distance of 250 km in 3 hours and comes back to initial point in 4.5 hours.  DO IT YOURSELFThe average height of a class of 30 students is 150 cm. If two students are dropped out, the new average height is 145cm, calculate the average height of dropped out students.  Solution:Let the no. of person with Hindi and English as mother tongue be 4x and 9x respectively.4x+9x = 117013x = 1170/13​​  ​​​​ x = 90Therefore, number of people with hindi as mother tongue = 4x = 4* 90 = 360 Let the speed of Car A and Car B be 2x and 3x respectively.(2x+51)/ 3x = 5/33(2x+51) = 15x6x + 153 = 15x9x = 153/9​​ x = 17​​ Original speed of car A = 2x = 2*17 = 34 km/h Let the money given to W, X, Y and Z be 6x, 4x, 2x and 3x respectively6x+ 4x+ 2x+ 3x = 15000X = 15000/ 15 = Rs. 1000Equal money to X and Z = (4x+3x)/2 = 7x/2 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = Rs. 3500More money Z should have = 3500 – 3x = Rs. 50080% of 600 = (80/100)*600 = 48070% of 400 = (70/100) *400 = 280Required Percentage = (200/280)*100 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 71.4% Selling Price = 20000+ (35/100)*20000 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 20000+ 7000 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = Rs. 27000 Downstream speed = 12 km/hLet the speed of the boat in still water be x km/h and speed of the stream be y km/h.x = 10 km/hTherefore, Downstream speed = (x+y) km/hr ​​ ​​ ​​ ​​​​ 12 = 10+ yy = 2 km/hUpstream speed​​ = (x-y) km/h ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 10 -2 = 8 km/hRequired time = 50/8 = 6.25 hoursDistance = 200+100 = 300m.Speed = 120 km/h = 33.33 m/sRelative speed = (33.33 –x) m/sTime taken = 300/ (33.33 – x)120 (33.33-x) = 3003999.6 – 120x = 300120x = 4300X = 4300/120 = 35.8 m/s(approx.) Converting the speed in m/s​​ 4 km/h = (4 * 5 * 60)/ 18 =​​ 66​​ m/min​​ (approx.)Number of​​ dustbin​​ in one minute =​​ 66/ 6​​ =​​ 11Number of plants in 10 minutes = 11* 110 = 110 Average = 189/9 = 21 Let the distance between Point A to B be x km.For Ashish, Time = x/ 80For Alok, Time = x/120x/80 – x/120= 60/60x = 240km Remainder Notebooks left after selling on 1st​​ day = (45/100)*1000 = 450Notebooks left after throwing on 1st​​ day = 450 – (20/100)*450 = 450- 90 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 360Notebooks left unsold = (60/100)*360 = 216 Let the distance be x km.Speed X/ Speed Y = (x/ Time X)/ (x/ Time Y)1/4 = Time y/ Time xTime taken by x / Time taken by Y = 4:1 Let the cost price be Rs. xMarked Price = x+ (50/100)*x ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = x + (x/2) ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 3x/2Selling Price = 3x/2 – (10/100)*3x/2 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 3x/2 – 33x/100 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 27x/20Profit = [(7x/20) /x ]* 100 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = ​​ 35% Average Speed = (250*2)/ ( 3+4.5) ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ = 500/ 7.5 ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ =66.67 km/h    (function( $ ) { //footnotes $('.defaultNote').children(":first").css('cursor', 'pointer'); 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Y = Y.replace(/,/g, '').replace(/ /g, ''); } var currencies = ['$', '¥', '£', '€']; 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'); 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