Different types of Math Question and solving method • Age problems • Work hours problems • Clock angles and Sector area • Algebraic expressions • Speed distance problems • Fractions & Percentages • Range, mean, Mod • Simple Geometry problems • Basic Arithmetic • Probability • Ratios • Profit, Discount problems • Equation solving for Variables Quantitative Sections Formulas • Speed Distance and Time Distance = Speed * Time Example: If a man running at 15 kmph passed a bridge in 9 seconds, what is the length of the bridge? Solution: As S=v*t Length=(15*1000/ 3600)*9=37. 5m ------------------------------------ • Mean Value • The mean average is not always a whole number. • The mean is the total of the numbers divided by how many numbers there are. • To work out the mean: • Add up all the numbers. 7 + 9 + 11 +6+13 + 6 + 6 + 3 + 11 = 72 • Divide the answer by how many numbers there are. There are 9 numbers. 72 / 9 = 8 So the mean value is 8. ------------------------------------------- • Mode Value • The mode is the value that appears the most. • 7 9 11 6 13 6 6 3 11 • To work out the mode: • Put the numbers in order: 3 6 6 6 7 9 11 11 13 • Look for the number that appears the most. 6 appears more than any other number. So the mode value is 6. ----------------------------------------- • Median value • The median is the middle value. • To work out the median: • Put the numbers in order: 3 6 6 6 7 9 11 11 13 • The number in the middle of the list is the median. So the median value is 7. • If there are two middle values, the median is halfway between them. Work out the median for this set of numbers: • 3 6 6 6 7 8 9 11 11 13 • There are two middle values, 7 and 8. The median is halfway between 7 and 8, so the median is 7.5. -------------------------------------- • Range • The range is the difference between the biggest and the smallest number. • To work out the range: • Put the numbers in order: 3 6 6 6 7 9 11 11 13 • Subtract the smallest number from the biggest number: 13 - 3 = 10 So the range of this set of numbers is 10. -------------------------------------- • Sum of given Series Sum = ((First Term+ Last Term) /2 )* Number of Terms Example: • .what is the avg of first 20 multiples of 7? So series for first 20 multiples of 7 is 7,14,21......41 • Sum=((7+140)/2)*20 • Sum=73.5*20 • We have to find avg so • Avg=73.5*20/20=73.5 -------------------------------------------- • Probability Probability that event A occurs P(A) = n(A) / n(S). where n(A) - number of event occurs in A n(S) - number of possible outcomes Example: What is the probability of sum 9 on both of two dice when rolled together? Solution: Total outcomes for two dices=6*6=36 Events whose sum is 9 are (3,6),(6,3),(4,5),(5,4)=4 Probability of sum 9=4/36=1/9 • Marble Size, Number of Marbles Example: • Marble size is 20cm*30cm. How many marbles are required to cover a square with side 3m? • 3m= 300cm • Area of Square=300*300 • No of marbles=Area /Marble size • =300*300/ 20*30= 150 ------------------------------------------------ • LOG PROPERTIES • 1) Multiplication inside the log can be turned into addition outside the log • Log(x.y)=log x+logy • 2) Division inside the log can be turned into subtraction outside the log • Log(x/y)=logx - logy • 3) An exponent on everything inside a log can be moved out front as a multiplier • In x^2=21n x • In e=1 ------------------------------------------- • Clock hands and Angles • Angle traced by hour hand in 12 hrs = 360°. • Angle traced by minute hand in 60 min. = 360°. Example: • 5:35 express hour hand in degree? • As 12 Sectors on clock=360 degree • 5*30+30*35/60=150+17.5=167.5 degrees ------------------------------------------- • WORK SHARE • Amount of Work/Time=Output(Rate) Example: • A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it? • A=1/4 • B+C=1/3 • A+C=1/2 • C=1/2 - 1/4=1/4 • B=1/3 - 1/4=1/12 • So B alone will do in 12 hours. ---------------------------------------------- • AGE PROBLEM • Example: • If father is double the age of his son. 20 years ago he was 12 times that of son. What is the age of father now? • F=2S • F-20=12(S-20) • 2S-20=12S-240 • 10S=220 • S=22 • F=2S=44 ------------------------------------------------ • Percentage % SHARE • A company sell three types of mobiles worth 100, 125, and 225. It sold equal no. of all mobiles. What is the percent share of cheapest mobile? • Total=100+125+225=450 Share of cheapest mobile= 100*100/450=22.22% ----------------------------------------------- • Consumer math formulas: Discount = list price * discount rate Sale price = list price - discount Discount rate = discount - list price Sales tax = price of item * tax rate Interest = principal * rate of interest * time Commission = cost of service * commission rate • Loss = C.P — S.P • Gain% = Gain* 100 / C.P • Loss % = Lost* 1 00 / C. P --------------------------------------------- • Sector Area • Sector Area=pi* r^2*angle Example: A clocks minute hand is 10cm long. What area it will cover from 9 0am to 9:35am? • Solution: r=10 cm Area=pi* r^2* angle Area=3.14*10*10*(7/12) Area=183.3 cm^2 Note: for 35 minute, minute hand position will be at 7 angle with position as 7/12 or angle= 210/360 ------------------------------------------------- • Solving Expressions Example: What is the value of x? If 3^ (1+x) + 5*3^x -8=0 Solution: 3 * 3^x +5 * 3^x=8 3^x (3+5)=8 3^x=1 3^x=3^0 Hence x=0 -------------------------------------------------- • AREA & CIRCUMFERENCE OF CIRCLE • Area= pi*r^2 • C=2*pi*r • AREA OF SQUARE, Triangle,Rectangle • Area of square= s^2 • Perimeter=4s • Area of triangle= b*h/ 2 • Perimeter= sum of all sides • Area of Equilateral triangle=sqrt3 *s^2 /4 • Perimeter=3s • Area of rectangle= L*W • Perimeter=2(L+W) • Volume of cylinder = pi*r^2*h ----------------------------------------------------- • Cube : • Let each edge of a cube be of length a. Then, • 1. Volume = a^3 cubic units. • 2. Surface area = 6a^2 sq. units. • 3. Diagonal =sqrt 3a units. Example: What is the volume of a cube whose surface area is 294? A.125 b.216 c.294 d.343 • SOLUTION: Surface Area of Cube= 6*a^2=294 a^2=49 So a=7 Volume of Cube= a^3 a^3=7^3=343 ----------------------------------------------- • Cylinder : • Let radius of base = r and Height (or length) = h. Then, • 1. Volume = (π * r^2 * h) cubic units. • 2. Curved surface area = (2*π * r * h) sq. units. • 3. Total surface area = 2*π * r*(h + r) sq. units. -------------------------------------------------- • i values • I=sqrt of -1 • I^2=-1 • I^4=1 ------------------------------------------------ • Average formula: Let a1, a2,a3,........an be a set numbers, average = (a1 + a2 + a3 + ....... +an)/n • Average= sum of elements/no of elements ------------------------------------------------- • RATIO • 3:b=x:c • X=? • 3c=bx • X=3c/b Rao Shahid Tufail Chaudhary Akeel Mohsin Qasim Waqar Sheraz Chishti Muhammad Bakht Khan Sheran Noshen Asad Nouman Khadim Warraich Sidra Sadaf Asif Malhi Hussnain Shiekh Saiful Islam Kashif Hussain Bukhari Humayun Rustum Engr Sajid Hussain Ch Rizwan Kahloon Jat Kausar Shehzad Adeel Ch BANKERS FORUM Forum for Professional Bankers Allied Bank Limited Allied Bank Limited Allied BANK Allied Bank Limited Sahiwal Region Baloch Sahib Omar Babar Federal Ombudsman Secretariat Pakistan Tehreek-e-Insaf Pakistan Zindabad Jobs in Pakistan Lahore Job Bank JOBS from LINKEDIN Updates Banking & Financial Services Jobs in Pakistan International Institute of Islamic Bankers - IIIB Bankers Forum NIB Bank Bankers TIMES
Posted on: Wed, 05 Nov 2014 14:29:38 +0000
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