Jump to content
  • Announcements

    • xaibi

      NTS Affiliated Universities & Institutions

      NTS Affiliated Universities & Institutions   Following are the list of universities and institutions which are associated with NAT. If a candidate wants to get admission in any of the listed universities he or she has to appear for NAT test first for qualifying the criteria for admission. Eligibility criteria for NAT test is: completion of 12 years education for NAT-I and completion of 14 years education for NAT-II test.   Here is the list of Universities which are Affiliated with NTS (National Testing Service) CECOS University, Peshawar
      Center for Advanced Studies in Engineering (CASE)
      Center for Emerging Sciences, Engineering & Technology (CESET)
      COMSATS Institute of Information Technology
      Dr. A.Q Khan Institute of Computer Sciences & Information Technology
      Fatima Jinnah Women University, Rawalpindi
      Federal Urdu University (Islamabad Campus) B.Sc Electrical Engineering
      GIFT University, Gujranwala
      Gomal University, D.I.Khan
      Government College University, Faisalabad
      Institute of Business & Management (IB&M) UET, Lahore
      Institute of Management Sciences, Peshawar
      Institute of Space Technology (IST), Islamabad
      Instiute of Southern Punjab
      International Islamic University, Islamabad (Department of Computer Science, Department of Electronics Engineering)
      Islamia University, Bahawalpur
      Kinnaird College for Women, Lahore
      Kohat University of Science & Technology, Kohat
      NAMAL College, Mianwali
      National Textile University, Faisalabad
      National University of Computer & Emerging Sciences (FAST) ( All Campuses )
      Pakistan Atomic Energy Commission (Talent Scholarship)
      Quaid-i-Azam University Islamabad (Quaid-i-Azam School of Management Sciences & School of Economics, Department of Pharmacy)
      Silver Oak Institute of Management Sciences & Information Technology (SIMSIT) Islamabad
      The University of Azad Jammu & Kashmir (Faculty of Agriculture, Rawalakot)
      University of Engineering & Technology, Peshawar (Non Engineering Programmes)
      University of Gujrat, Gujrat
      University of Management & Technology, Lahore
      University of Peshawar, Peshawar
      University of Science & Technology, Bannu
      University of Swat, Swat
Musa

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

Rate this topic

Recommended Posts

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)=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

-------------------------------------------------- GOOD LUCK

Share this post


Link to post
Share on other sites

×