Musa 13 Report post Posted June 29, 2014 Quantitative • The Quantitative section measures your basic mathematical skills, concepts and the ability to solve problems in a quantitative setting. • Problem solving techniques, Short cut methods and formulas • Basic knowledge of arithmetic, algebra, geometry, Expressions, variables finding Question Types • 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 clock's minute hand is 10cm long. What area it will cover from 9:00am 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)=83^x=1 3^x=3^0Hence 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 -------------------------------------------------- GOOD LUCK 3 waqas bhatti, duniyakhan786 and Faizi reacted to this Share this post Link to post Share on other sites

Haabi Jee 7 Report post Posted December 6, 2014 kindly share some probabilty problems... Share this post Link to post Share on other sites

silentair 2 Report post Posted December 27, 2014 i want to have solved papers for SESE(Math) Share this post Link to post Share on other sites

silentair 2 Report post Posted December 27, 2014 Aslam sells a chair at a gain of 7 1/2%, if he had bought it at a 12 1/2% less and sold it Rs.5 more, what is the cost price of the chair he would have gained 30%. 2 Waqar Chaudhary and HamzaSyed786 reacted to this Share this post Link to post Share on other sites

Mohsin8th Oct 1 Report post Posted January 6, 2015 i want to get the sample paper for State Bank of Pakistan, Recruitment of Executive Engineers (OG-3) (Civil/ Mechanical/ Electrical) at SBP-BSC 1 rabia rind reacted to this Share this post Link to post Share on other sites

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Mursaleen Tanha 2 Report post Posted November 18, 2015 So very helpful post for the students. Tnx so. 1 aadi4514 reacted to this Share this post Link to post Share on other sites

MAYA 0 Report post Posted December 11, 2015 well done Musa and thanks Share this post Link to post Share on other sites

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AeiSha JaWeid 0 Report post Posted April 16, 2016 Aslam sells a chair at a gain of 7 1/2%, if he had bought it at a 12 1/2% less and sold it Rs.5 more, what is the cost price of the chair he would have gained 30%. can u give a sol fr this Share this post Link to post Share on other sites

Rare boy 0 Report post Posted October 31, 2016 Aslaam o alaikum all you Plzz any one help me about pts(Pakistan testing service ) test of sub engineer civil sample paper and sylabus Share this post Link to post Share on other sites

Rare boy 0 Report post Posted October 31, 2016 Aslaam o alaikum all you Plzz any one help me about pts(Pakistan testing service ) test of sub engineer civil sample paper and sylabus Share this post Link to post Share on other sites

Rare boy 0 Report post Posted October 31, 2016 Aslaam o alaikum all you Plzz any one help me about pts(Pakistan testing service ) test of sub engineer civil sample paper and sylabus Share this post Link to post Share on other sites

Rare boy 0 Report post Posted October 31, 2016 Aslaam o alaikum all you Plzz any one help me about pts(Pakistan testing service ) test of sub engineer civil sample paper and sylabus Share this post Link to post Share on other sites

Sheryar 0 Report post Posted March 7, 2017 100 Quantitative Ability MCQs With Answers: http://ntiscs.blogspot.com/2016/09/maths-quiz.html Share this post Link to post Share on other sites