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How to Solve | Learn Quantitative Reasoning Questions in Test | Quiz


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#1 Musa

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    Musa
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Posted 29 June 2014 - 03:03 PM






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

 

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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.

 

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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.

 

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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
 

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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

 

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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

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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

 

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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.

 

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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

 

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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%
 

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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
 

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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
 

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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

The word "Help" actually refers to give something without expecting any cost or return. Everyone can do something for each other, even if one has nothing physical to give, he can share something, that is also a great help. Helping other is a priceless happiness that one can feel inside, which makes you fell alive and blessed.


Thanked by 6 Members:

#2 Haabi Jee

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Posted 06 December 2014 - 10:57 AM




kindly share some probabilty problems...

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#3 silentair

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Posted 27 December 2014 - 03:41 PM




i want to have solved papers for SESE(Math)



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#4 silentair

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Posted 27 December 2014 - 04:16 PM




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%.



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#5 Mohsin8th Oct

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Posted 06 January 2015 - 07:23 PM




i want to get the sample paper for State Bank of Pakistan, Recruitment of Executive Engineers (OG-3) (Civil/ Mechanical/ Electrical) at SBP-BSC

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#6 amanat77

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Posted 31 March 2015 - 03:52 PM




very helpful post  :) 



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#7 Faizi

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    • LocationPakistan

Posted 08 August 2015 - 03:10 PM




Nice post  :) thankss



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#8 March 1

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Posted 18 August 2015 - 06:43 PM




Plz send me lesco assistant manager customer services paper sample thanks

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Thanked by 1 Member:

#9 March 1

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Posted 18 August 2015 - 06:43 PM




Plz send me lesco assistant manager customer services paper sample thanks

  • -1

#10 Waqar Chaudhary

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    • LocationPakistan

Posted 28 August 2015 - 05:06 AM




Very good post... thanks...

 



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#11 Zee Saleem

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Posted 12 September 2015 - 04:49 PM




very helpful post  :) 



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#12 Mursaleen Tanha

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Posted 18 November 2015 - 07:23 AM




So very helpful post for the students. Tnx so.

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#13 MAYA

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Posted 11 December 2015 - 09:43 AM




well done Musa and thanks



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#14 rana asif

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Posted 20 January 2016 - 04:09 AM




And me ret rescuer paper

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#15 AeiSha JaWeid

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Posted 16 April 2016 - 11:12 AM




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



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#16 Rare boy

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Posted 31 October 2016 - 03:39 PM




Aslaam o alaikum all you Plzz any one help me about pts(Pakistan testing service ) test of sub engineer civil sample paper and sylabus

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#17 Rare boy

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Posted 31 October 2016 - 03:40 PM




Aslaam o alaikum all you Plzz any one help me about pts(Pakistan testing service ) test of sub engineer civil sample paper and sylabus

  • 0

#18 Rare boy

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Posted 31 October 2016 - 03:40 PM




Aslaam o alaikum all you Plzz any one help me about pts(Pakistan testing service ) test of sub engineer civil sample paper and sylabus

  • 0

#19 Rare boy

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Posted 31 October 2016 - 03:41 PM




Aslaam o alaikum all you Plzz any one help me about pts(Pakistan testing service ) test of sub engineer civil sample paper and sylabus

  • 0

#20 Sheryar

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Posted 07 March 2017 - 09:09 AM




100 Quantitative Ability MCQs With Answers: http://ntiscs.blogsp...maths-quiz.html



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