Thursday, September 8, 2016
Monday, August 22, 2016
Alliagations And Mixtures
Alliagations And Mixtures
Read aptitude tutorial of Alligation mixture, Alligation mixture Tutorial, Alligation mixture questions and Answers, Concept of Alligation mixture, Alligation mixture questions asked in Bank PO exam, Alligation mixture questions asked in Bank MBA exam, Alligation mixture questions asked in CAT, Pie Chart questions asked in MAT, Alligation mixture questions and answers for Campus Placement, Alligation and mixture problems asked in ICICI exam, Alligation and mixture questions asked in Wipro, Alligation and mixture questions asked in Patni, Alligation and mixture questions asked in Tech mahindra, Alligation and mixture problems asked in neclues and other MNCs |
Alligation - In this we find the proportion in which ingredients at given prices must be mixed to produce a mixture at a given price, this is termed as alligation. Alligation method can not be applied for absolute values, but it can be applied for Qestion related to Ratio, Rate, Percentage, Speed etc ( Means it can be applied for comparable values like per hour, per km , per kg etc. ) Rule of Alligation : If gradients are mixed in a ratio then we can write   Ex. In what proportion must weat at Price 4.10 per kg must be mixed with weat at Price 4.60 per kg, so that the mixture be worth Rs 4.30 a Kg ? Solution : Here, CP of unit quantity of Dearer = 460 per kg , CP of unit quantity of Cheaper = 410 per kg So we can use above formuls :  So, the required ratio be 3 : 2 Ex. How many kg of rice at Rs. 60 per kg, must be be mixed with 30 kg of rice at Rs 25 per kg, so that he may on selling the mixture at Rs 50 per kg gain 25 % on the outlay ? Solution : First we have to find cost price of mixture, as seller is gaining 25 % profit on mixture so its cost price will be  Now use the formula of alligation to find to find out quantity of dearer rice, (Note : Here mean price will be CP of mixture, do not get confused by Selling price Rs 50 per kg )   Ex. A mixture of certain quantity of milk with 20 liters of water of worth Rs 10 per liter. If pure milk is of worth Rs 15 per liter, how much milk is there in the mixture ? Solution : By rule of alligation   So, Quantity of milk will be 40 liters Ex. In what proportion must water be mixed with milk to gain 20 % by selling it at cost price ? Solution : Let cost price of milk be Rs 1 per liter, then S.P of mixture is also Rs 1 per liter Now CP of mixture be = 1 - ( 20 % of Rs 1 ) = 1 - ( 20 * 1 / 100 ) = 80 / 100 = Rs 4 / 5   Required ratio = 1 : 4 Question based on Mixture from two vessels ( Note : Frequently asked in MBA entrance exams ) Ex. Milk and water are mixed in a vessel A in the ratio 5 : 3 and in vessel B in ratio 9 : 7 . In what ratio should quantities be taken from the two vessels so as to form a mixture in which milk and water will be in the proportion of 7 : 5 ? Solution : In vessel A, milk = 5 / 5 + 3 = 5 / 8 of the weight of mixture In vessel B milk = 9 / 9 + 7 = 9 / 16 of the weight of mixture Now, we have to form a mixture in which milk be 7 / 12 of the weight of the mixture Now according to rule of alligation :     Ex. A goldsmith has two qualities of gold, one of 10 carats and another of 15 carates purity. In what proportion should he mix both to make an ornament of 12 carats purity ? Solution : By applying rule of alligations  So both qualities of gold should be mixed in the ratio of 3 : 2 Ex. 400 gm spirit solution has 40 % spirit in it , How may grams of spirit should be added to make it 60 % in the solution ? Solution : By applying rule of alligations and mixtures  So, the two mixtures should be added in ratio 2 : 1  |
Pie Chart
Tutorial-Pie Chart
Read aptitude tutorial of Pie Chart, Pie Chart Tutorial, Pie Chart questions and Answers, Concept of Pie Chart, Pie Chart questions asked in Bank PO exam, Pie Chart questions asked in Bank MBA exam, Pie Chart questions asked in CAT, Pie Chart questions asked in MAT, Pie Chart questions and answers for Campus Placement, Pie Chart questions and answers for RRB, SSC, Wipro TCS Accenture Infosys HCL campus exam |
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A Pie Chart is a pictorial representation of a numerical data by non intersecting adjecent sectors of the circle such that area of each sector is proportional to the magnitude of the data represented by the sector. (a) The whole circle represents the total and the sectors, individual quantities. (b) The sectors, are made considering the fact that the central angle is 360° (c) The central angle, 360 ° can be divided in the ratio of quantities given. (d) Central angle or Angle of the sector is :  The number of students studying in different faculties in the years 2001 and 2002 from state A is as follows   Ex. In which faculty there was decrease in the number of students from 2001 to 2002 ? (a) Arts (b)Agriculture (c) Pharmacy (d)None (e) None of these Solution : For Arts, Number of students in 2001 and 2002  For Agriculture Number of students in 2001 and 2002  For pharmacy % is already more and total number of students are already more in 2002, so correct option will be for Agriculture, option (b) is true Ex. What is the ratio between the number of students studying pharmacy in the years 2001 and 2002 respectively ? (a) 4 : 3 (b) 3 : 2 (c) 2 : 3 (d) 7 : 12 (e) None of these Solution : Ratio between the number of students studying pharmacy in the years 2001 and 2002 =  Option (d) is true Ex. What was the approximate percentage increase in the number of students of Engineering from the year 2001 to 2002 ? (a) 17 (b) 15 (c) 25 (d) 23 (e) 20 Solution : Number of engineering students in 2001 =  Number of engineering students in 2002 =  Total increase = 7600 - 6300 = 1300  Ex. In the year 2001, the number of students studying Arts and Commerce together is what percentage of the number of students studying these subjects together in 2002 ? (a) 76 (b) 85 (c) 82 (d) 79 (e) None of these Solution : Number of students studying Arts and Commerce together in 2001 =  Number of students studying Arts and Commerce together in 2002 =   So, option (b) is true Ex. In which of the following faculties the percent increase in the number of students was minimum from 2001 to 2002 ? (a) Arts (b) Science (c) Commerce (d) Medicine (e) Engineering Solution : This question is quit lengthy, First find respective number of students in the given years according to subjects
     Ex. Study the given graph and table and answer the following questions given below. ( Total population of all states given in Pie chart is 25 lakha ) In the year 1998 the data of different states regarding population of states  Sex and literacy wise population ratio
Q(1) Approximately what is the total number of literate people in MH and Kar together ? (a) 4.5 lakhs (b) 6.5 Lakhs (c) 3 lakh (d) 3.5 lakhs (e) 6 lakhs Solution : Population of Kar is 15 %  So, Total number of literate people in Kar is :  Population of MH is 11 %   So, number of literate people in MH and Kar together = 2.29 + 2.25 = 4.54 lakhs So, option (a) is correct Q(2). Approximately what will be the percentage of total male in UP , MH and kerala of the total population of the given states ? (a) 20% (b) 18% (c) 28% (d) 30% (e) 25% Solution : Population in UP is 25 %   Population in MH = 2.75 lakhs from Q(1)  Population in Kerala = 8 %   So, Sum of male population of UP, MH and kerala = 3.93 + 1.17 + 0.85 = 5.95 lakhs  option (e) correct | |||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
Line Graphs
Tutorial-Line Graphs
Read aptitude tutorial of Line Graphs, Line Graphs Tutorial, Line graph questions and Answers, Concept of Line Graphs, Line Graphs questions asked in Bank PO exam, Line Graphs questions asked in Bank MBA exam, Line Graphs questions asked in CAT, Line Graphs questions asked in MAT, Line Graphs questions and answers for Campus Placement, Line Graphs questions and answers for RRB, SSC, Wipro TCS Accenture Infosys HCL campus exam |
Ex. Number of hotels in a state, according to years are given ( Study the given chart carefully and then answer the questions accordingly )  Q(1) The approximate % increase in hotels from year 1989 to 1994 was (a) 75 (b) 100 (c) 125 (d) 150 (e) 175 Solution :  Option (b) is correct Q(2) If the number of newly made hotels in 1991 was less by 10 then what is the ratio of the number of hotels in 1991 and that in 1990 ? (a) 14 : 11 (b) 3 : 4 (c) 4 : 5 (d) 5 : 4 (e) 1 : 4 Solution : No of hotels in 1991 will be 570 - 10 = 560  Option (a) is correct Q(3) If the % increase in the number of hotels from 1993 to 1994 continued up to 1995 then what is the number of hotels built in 1995 ? (a) Minimum 75 (b) Minimum 70 (c) Minimum 50 (d) Minimum 139 (e) Minimum 80 Solution : First find % increase in 1994 from 1993  Now 18 % of 838 = 150 So, nearest option is (d) Minimum 139 hotels Q(4) In which of the given years increase in hotels in comparison to the previous year is the maximum ? (a) 1990 (b) 1991 (c) 1992 (d) 1993 (e) 1994 Solution :      So option (b) is correct Q(5) If increase in hotels from 1991 to 1992 is P % and increase in hotels from 1992 to 1994 is Q % , then which of the following relations between P and Q is true ? (a) Data is inadequate (b) P < Q (c) P = Q (d) P > Q (e) None of these Solution : P % = 24.56 % from question (4) Q % = 18.05 % So P > Q, option (d) correct Ex. % profit earned by two companies over the years is given in graph. Also   Ex. If the expenditure of Company B in 2000 was Rs. 200 crores, what was its income ? (a) Rs. 240 crores (b) Rs. 220 crores (c) Rs. 160 crores (d) Can not be determined (e) None of these. Solution : Let income be Rs x crores so, we can use the above formula as  40 = x - 200 x= 240 crores Ex. If the income of company A in 2002 was Rs. 600 crores. What was its expenditure ? (a) Rs. 360 crores (b) Rs. 480 crores (c) Rs. 375 crores (d) Can not be determined (e) None of these. Solution : For company A in 2002 % profit was 60 % , Let expenditure be x crores , so  Ex. If the income of a company B in 1998 was Rs. 200 crores, what was its profit in 1999 ? (a) Rs. 21.5 crores (b) Rs. 153 crores (c) Rs. 46.15 crores (d) Can not be determined (e) None of these. Solution : Profit can be calculated only when Income and expenditure of the given year should be known. So, option (d) is correct Ex. If the Incomes of the two companies in 1998 were equal, what was the ratio of their Expenditure ? (a) 1 : 2 (b) 26 : 27 (c) 100 : 67 (d) Can not be determined (e) None of these. Solution : Let, the income of both companies be P, expenditure of A is E1 and expenditure of B is E2 Now we can write,    So, option (b) is correct Ex. What is the % increase in % profit for company B from year 2000 to 2001 ? (a) 75 (b) 175 (c) 42.86 (d) Can not be determined (e) None of these. Solution :  |
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