Problem Solving

Hello,

Q. Rectangular Floors X and Y have equal area. If floor X is 12 feet by 18 feet and Floor Y is 9 feet wide, What is the length of Floor Y, in feet?

Options:
A. 13.5 B. 18 C. 18.75 D. 21 E. 24
(you guys are thinking, what a 'F' problem )
Let's check my method. we will solve it with options.

Ans. Area of Floor X = Area of Floor Y
means Length*Width of X = Length*Width of Y

See carefully, Area of Floor X is Integer and 6 is the unit digit. Am i right? 

Option A and C eliminated because Answer will be in decimals. Remain with B,D and E

Option B has unit digit of 2 and Option D has unit digit of 9 So These are also eliminated.

So Option E is the answer. Now you can check it with your method. 
(12*18 = 9*24)






Er. Ankur Garg

Problem Solving

Hello frndz,

Happy Diwali to all!!!!!!! Today we will do couple of problem solving...

Q. A project scheduled to be carried out over a single fiscal year has a budget of $12,600, divided into 12 equal monthly allocations. At the end of the fourth month of that fiscal year, the total amount actually spent on the project was $4580. By how much was the project over its budget?

Ans. (Short Method )

We know the actual amount spent during four month i.e. $4580. So we need to calculate budget amount for the same period.
Budget amount per month = 12600/12 = $1050
So, budget amount for four months = 1050*4 = $4200

(We have a budget of $4200 for these four months and have spent $4580. Ofcourse, It's a Indian situation)

Amount over budget = 4580 - 4200 = $380
This is the answer.........

Q. If the sum of 5,8,12,15 is equal to the sum of 3,4,x and x+3, what is the value of x?

Ans. (Simply addition method...)

Given,

5+8+12+15 = 3+4+x+x+3

40 = 2x+10

30 = 2x

x = 15....... Solved!!!!!!!

Q. For which of the following values of n is (100+n)/n NOT an integer?

Options are: A. 1 B. 2 C. 3 D. 4 E. 5

Ans. (Do this with the help of option; prefer to select C first...)

Put 3 in place of n, we get;

103/3 = NOT Integer

So C is the answer...............

Okie guys....Bye will catch u later!!!!!!!1

Er. Ankur Garg

www.nascentedutech.com

Day 13: Simplifying Algebraic Expressions

Hello frndz,

Today we will start with Algebra... First know about introduction of Algebra.


:- Algebra is based on a set of combination of variable and operations performed on that.
For eg. x+5 is an algebraic expression.

:- In expression 19x^2 - 6x + 3; 19 is the coefficient of x^2, -6 is the coefficient of x and 3 is a constant term.


:- When working with algebraic expressions, it is necessary to simply them by factoring or combining like terms.
For eg. 6x + 5x = (6 + 5)x = 11x


:- Simply (3xy - 9y) / (x - 3)
3y(x - 3) / (x - 3) = 3y


:- To multiply two algebraic expressions, each term of one expression is multiplied by each term of the other expression.
For eg. (3x - 4)(9y + x)
3x (9y + x) - 4 (9y + x) = 3x * 9y + 3x * x - 4 * 9y - 4 * x
= 27xy + 3x^2 - 36y - 4x


The given expression can be evaluated by substituting values of variables in the expression.
For eg. If x=3 and y=-2
then above expression can be evaluated as
27(3)(-2) + 3(3)^2 - 36(-2) - 4(3)
= -162 + 27 + 72 - 12
= -75


Okie guys, Keep practice on!!!



Er. Ankur Garg
garg.ankur6@gmail.com

Day 12: Discrete Probability

hello frndz,

Today we will learn about Discrete Probability!!

:- Discrete probability is an experiments that have a finite number of outcomes.
For eg. Rolling a device numbered 1 to 6 has 6 possible to outcomes: 1,2,3,4,5,6


:- D.P of an event is an experiment that has number of outcomes for event E out of all possible outcomes.
For eg. Rolling a device with getting odd number on face. Here Odd number on face is an event E.
Number of outcomes for event E = {1,3,5} = 3
Total possible outcomes = 6
Discrete probability = 3/6 = 1/2

(general Formula: P(E) = The number of outcomes in E / The total number of possible outcomes)


:- P(E) is a number between 0 and 1. If P(E) = 0, Event E is not possible and If P(E) = 1, then Event E is certain.

For eg. Probability of getting an odd number divisible by 2 is 0. (Not possible)
Another; probability of getting an even number divisible by 2 is 1. (Always)


:- "Not E" is the set of outcomes that are not outcomes in E.
For eg. In previous eg. of rolling device, getting even number on face = 1 - getting odd number of face


:- "E or F" is the set of outcomes in E or F or both.
"E and F" is the set of outcomes in both E and F.

For eg. In previous example of rolling device, getting an odd number(E) or prime number(F),
P(E or F) = P(E) + P(F) - P(E and F)
P(E and F) = {3,5}/6 = 2/6 = 1/3
P(E) = 1/2; P(F) = {1,3,5}/6 = 3/6 = 1/2

So P(E or F)  = 1/2 + 1/2 - 1/3 = 2/3



:- If E and F are independent events and occurrence of either event does not affect the probability that the other event occurs, then P(E and F) = P(E)P(F)
For eg. Rolling a device with getting even number(E) and Rolling another device with {5,6}(F) are independent events.
P(E) = 1/2
P(F) = {5,6}/6 = 1/2
So P(E and F) = 1/2*1/2  = 1/4
In this Case, P(E or F) = P(E) + P(F) - P(E)P(F)


:- If E and F are mutually exclusive events and "E and F" is not possible, then P(E and F) = 0
For eg. Rolling a device and flipping a coin are mutually exclusive events.
In this Case, P(E or F) = P(E) + P(F)



Okie guys, Keep practice On!! This is the end of Arithmetic.. From tomorrow on wards, we will go for Algebra..


Er. Ankur Garg
garg.ankur6@gmail.com

Day 11: Counting Methods

Hello frndz,

Today we will learn about Counting Methods..


:- If an object is to be chosen from a set of m objects and a second object is to be chosen from a different set of n objects, then there are mn ways of choosing both objects simultaneously.

For eg. Suppose the objects are items on a menu. If a meal consists of one entree and one dessert and there are 5 entrees and 3 desserts on the menu, So in how many different ways one can be ordered from the menu?

Solution: Lets take entrees are ABCDE and desserts are XYZ.
then ways are AX, AY, AZ, BX, BY, BZ, CX, CY, CZ, DX, DY, DZ, EX, EY and EZ.
total number of different ways : 15
(General Formula: total number of first objects * total number of second objects
i.e. 5*3 = 15)



:- A symbol that is often used with the multiplication principal is the factorial. It is defined as the product of all the integers from 1 to n i.e. n!
For eg. 2! = 2*1 ; 3! = 3*2*1 etc...
(Note: 0! =1! = 1)



:- A permutation is a selection process in which objects are selected one by one in a certain order (Order matters).
For eg. If k objects to be selected from a larger set of  n objects, permutation is
(n,k) = n! / (n-k)!


:- A combination is a selection process in which objects are selected without regards to order.
For eg. If k objects to be selected from a larger set of  n objects, combination is
(n,k) = n! / k!(n-k)!

:- (n,k) = (n,n-k)

For eg. (5,2) = 10 = (5,3)

Okie guys, Keep practice on !!!

Er. Ankur Garg

garg.ankur6@gmail.com

Day 10: Sets

Hello frndz,

Today we will learn about Sets!!!!


:- A set is a collection of numbers or objects. The objects are called the element of the set.
For eg. Set S = {1,2,5} or {Car, Bus, Bicycle}


:- If set S have a finite number of elements, then the numbers of elements is denoted by |S|.
In above example, |S| = 3


:- If all the elements of a set S are also elements of a set T (or having extra), then S is a subset of T.
For eg. S = {1,2,5} is a subset of T = {0,1,2,3,5}


:- For any two sets A and B, the union of A and B is the set of elements that are in A or in B or in both.
For eg. If A = {3,4}, B = {4,5,6}
then A U B = {3,4,5,6}
(Note: Common values will be considered only once).


:- For any two sets A and B, the intersection of A and B is the set of elements that are both in A and in B.
In above example, Intersection (A,B) = {4}


:- General Formula: Union (A,B) = |A| + |B| - Intersection (A,B)


:- Venn Diagram:

Elements of First circle: A + C
Elements of Second circle: B + C
Intersection of both circle: C only

Okie guys, Keep practice on!!! Er. Ankur Garg garg.ankur6@gmail.com

Day 9: Descriptive Statistics

Hello frndz,

today we will learn about Descriptive Statistics..

:- Average: The average of n number is defined as the sum of the n numbers divided by n.
For eg. the average of 6,4,7,10 and 4 is (6+4+7+10+4)/5 = 31/5 = 6.2


;- Median: To calculate the median of n numbers, first order the numbers from least to greatest; if n is odd, the median is the middle number.

For eg. the median of 6,4,7,10,4

step 1: first order it form least to greatest - 4,4,6,7,10
step 2: find the middle number i.e. 6

So median is 6

whereas, if n is even, the median is the average of the two middle numbers.
For eg. the median of 4,6,6,8,9,12 = (6+8)/2 = 7

(Note: if n is odd, median is (n+1)/2; else the average of n/2 and n/2 + 1)



:- It is not always true that half of the data in a series is less than median and half of the data is more than the median.
For eg. 3,5,7,7,7,7,7,7,8,9,9,9,9,10,10
Here the median is 7, but only 2/15 of the data is less than the median.



:- Mode; The mode of a list of numbers is the number that occurs most frequently in the list.
For eg. mode of 1,3,6,4,3,5 is 3 (occurs twice)

(Note: A list of numbers may have more than one mode.)


:- Range: Range is defined as the greatest value minus the least value.
For eg. the range of 11,10,5,13,21 is
21-5 = 16


:- Standard deviation: To calculate standard deviation;

step 1: find the arithmetic mean (average)
step 2: find the difference between the mean and each of the n numbers
step 3: square each of the differences
step 4: find the average of the squared differences
step 5: take the non negative square root of this average

For eg. standard deviation of 0,7,8,10,10

step 1: average = 7
step 2: differences = -7,0,1,3,3
step 3: square of differences = 49,0,1,9,9
step 4: average of step 3 = 68/5 = 13.6
step 5: square root of step 4 = 3.7

So S.D = 3.7

(Note: the more data are spread away from the mean, the greater the standard deviation and same as vice-versa).




Okie guys, keep practice on!! catch u soon.....


Er. Ankur Garg
garg.ankur6@gmail.com

Day 8: Powers and Roots of Numbers

Hello frndz,

Sorry, I was bit busy from last two days so was unable to take session... Today we will learn about Powers and Roots of Numbers.



:- When we multiplied a number k, n times then it looks like this: k*k*k*k*......n times
Lets pick a value of n i.e. 2 then k*k = k^2
Same as k*k*k*....n times can be expressed as k^n (called it 'nth power of k')



:- Tips: Squaring a number greater than 1 results in larger number. for eg.
2^3 = 2*2*2 = 8
and 8 >2
Squaring a number between 0 and 1 results in smaller number. for eg.
(1/2)^3 = (1/2)*(1/2)*(1/2) = 1/8
and 1/8 < 1/2



:- Square root of  a number greater than 1 results in smaller number. for eg.
  (4)^1/2 = 2
and 2 < 4
Square root of  a number between 0 and 1 results in larger number. for eg.
(1/4)^1/2 = 1/2
and 1/2 > 1/4



:- The square root of a negative number is not a real number; known as imaginary number.
For eg. (-4)^1/2 = Imaginary number.


:- The square root of every positive number has two results; one is positive and one is negative.
For eg. Square root of 9 = 3 and -3


:- Like Square root, Squaring a number of 1/3 known as cube root.


Okie guys, keep practice on!!! will be back soon....





Er. Ankur Garg
garg.ankur6@gmail.com

Day 7: Percents

hello frndz,

first of all, happy Dhusera to all!!! Today we will learn about percent and its uses....

:- A percent is a number out of 100. For eg. 20% means 20 out of 100.
20% = 20/100 = 0.2



:- To find a certain percent of a number for less than 50%, first calculate 10% by putting decimal after unit digit then calculate accordingly. For greater than more than 50%, first calculate 50% by doing half the number and then calculate remaining one...
For eg. To find 20% of 90;
First calculate 10% and 10% of 90 is 9 (remove unit digit 0).
Now, 20 % is twice of 10% i.e. twice of 9 = 2*9 = 18;

To find 80% of 90;
First calculate 50% i.e. 45 (half of 90)
Now, calculate remaining 30% i.e. thrice of 10% = 3*9 = 27
So 80% of 90 = 45 + 27 = 72

To find 3% of 90;
First calculate 1% by putting decimal after last two digits i.e. 0.90
now, 3% of 90 is thrice of 1% = 3*0.9 = 2.7


:- Percents greater than 100% known as numbers greater than 1.
for eg. 300% means 3 times, 200% means 2 times and 250% means 2.5 times etc....
250% of 80 = 2.5 * 80 = 200

:- Percents less than 1%: The percent 0.5% is half of 1%. For eg. 0.5% of 12 is the half of 1 % of 12 i.e.
1/2 * 0.12 = 0.06;

:- Percent change: For eg. if price of an item increased from $24 to $30, then price increased by $6 on the base price of $24 So percent increase is '$6 is what percent of $24?'

(Short method: half of $24 is $12 that is 50% of $24 and $6 is half of $12, again 50% of $12 So $6 is one forth of $24 i.e. 25% of $24).

So percent increase from $24 to $30 is 25%

Now reverse the question; If price of an item decreased from $30 to $24, then price decreased by $6 on the base price of $30 So percent decrease is '$6 is what percent of $30?'

(Short method: 10% of $30 = 3 and $6 is twice of $3 So $6 is 20% of $30).

So percent decrease from $30 to $24 is 20%

(Note: Percent increase from 24 to 30 is not equal to Percent decrease from 30 to 24).


:- If the cost of a certain house in 1983 was 300% of its cost in 1970, by what percent did the cost increase?
Let assume the cost of a house in 1970 was 100 then cost in 1983 was 300 So increase by 200 on base price of 100 i.e. 200%


Okie guys, Keep practice on !!!

Some good books for GMAT Quant prep:

1. Quant Official guide 12th Edition
2. Kaplan Matrial
3. Nova GMAT
etc..............


Er. Ankur Garg
garg.ankur6@gmail.com
www.nascentedutech.com

Day 6: Ratio and Proportion

Hello frnz,

Happy Navmi!!! today we will learn about Ratio and Proportion....

:- The ratio of number a to b is known as a/b (if b is not equal to 0).
For eg. Ratio of 2 to 3 is 2/3.


:- 2/3 can be written as 2 to 3 or 2:3. ratio of 4 to 6 is 4/6 and reduced form is 2/3.
So Ratio of 4 to 6 = Ratio of 2 to 3.


:- In ratio, ordered is important means ratio of 2 to 3 is not equivalent to ratio of 3 to 2.

:- Proportion: A proportion is a statement that two ratios are equal.
For eg. 2/3 = 4/6

:- Suppose in given four values of proportion, One is unknown Let's
2/3 = n/6, to solve it, we will cross multiply and get the value of n.

i.e. 2*6 = n*3 (Cross Multiplication)
12 = 3n So n = 4;





Okie guys, Keep practice On.....


Er. Ankur Garg
garg.ankur6@gmail.com


www.nascentedutech.com

Day 5: Real Numbers

hello frndz,

today we will learn about real numbers and some of their properties.

:- Number Line: A number line has a center with value 0. Left side, it has negative numbers and Right side, it has positive numbers.

:- All numbers reside on number line are known as Real numbers. All real numbers except zero are either positive or negative.

:- If you say, A number n is between 1 and 4 then you will write 1<n<4 and if n is 'between 1 and 4, inclusive' then 1<=n<=4

:- Absolute value: the distance between a number and zero on the number line is called Absolute value.
For eg. 3 and -3 are either side of 0 but has same absolute value (i.e. 3).

(Easier definition: A distance that you have to travel from zero to reach at that number means to reach at both number 3 and -3, you have to travel 3 units from zero.)
Absolute value is a distance and distance can not be negative so absolute value always be positive.
Modulus value = absolute value
So |3| = 3 always;


:- Properties of real numbers: Let's take x,y and z as real numbers.

1. x + y = y + x and x*y = y*x
2. (x + y) + z = x + (y + z) and (xy)z = x(yz)
3. xy + xz = x (y + z)
4. If x and y are both positive, then x + y and xy are positive.
5. If x and y are both negative, then x + y is negative and xy is positive.
6. If x is positive and y is negative, then xy is negative.
7. If xy = 0, then x = 0 or y = 0.
8. |x + y| <= |x| + |y| (check it for all four condition i.e. x and y positive, x and y negative  and either is positive).


Okie guys, Keep practice on!!! Hope you are doing well.....



Er. Ankur Garg
garg.ankur6@gmail.com 

Day 4: Decimals

Hello frndz,

Howz ur sunday... Have you enjoyed it!!!!!!!!!
Today we will learn about decimals and operation on decimals.

:-  7654.321, by which name, each digit known as?

In 7654.321, 1 known as Thousandth Digit (*1/1000)
In 7654.321, 2 known as Hundredth Digit (*1/100)
In 7654.321, 3 known as tenth Digit (*1/10)
In 7654.321, 4 known as Unit Digit  (*1) 
In 7654.321, 5 known as Ten Digit (*10)
In 7654.321, 6 known as Hundred Digit (*100)
In 7654.321, 7 known as Thousand Digit (*1000)

So 7654.321 can be rewrite as

7*1000 + 6*100 + 5*10 + 4 + 3*1/10 + 2*1/100 + 1*1/1000



:- Addition and Subtraction of Decimals:

To add 17.5612 and 635.27, first lined them. First number (17.5612) has 4 digits after decimals and second number (635.27) has 2 digits after decimals. Insert 2 zeros after second number.
So Now add, 17.5612 and 635.2700.
Add them as we simply do.....

To subtract 635.27 and 17.5612, first lined them. First number (635.27) has 2 digits after decimals and second number (17.5612) has 4 digits after decimals. Insert 2 zeros after first number.
So Now subtract, 635.2700 and 17.5612.
Subtract them as we simply do.....             



:- Multiplication of decimals:

To multiply decimals, first remove decimals from both numbers and multiply them as usual. In result, insert decimal at the place of total number of decimal place included by both number from right...

Confused!!!!!!!!! Don't worry
For eg. 2.09 * 1.3

Step 1: remove decimals. then 209 * 13 that gives us 2717

Step 2: Count the total number of decimals place in both numbers (2.09 has 2 decimal place from right and 1.3 has 1 decimal place from right So total number of decimal place is 2+1 = 3).

Step3: Put decimal after same number of place from right that gives us 2.717
So 2.09 * 1.3 = 2.717

Got it!!!!!



:- Division of decimals:


To divide decimals, first remove decimals from both numbers and divide them as usual. In result, insert decimal at the place of remaining number of decimal place included by both number from right...

Again Confused!!!!!!!!! Don't worry
For eg. 698.12 / 12.4

Step 1: remove decimals. then 69812 / 124 that gives us 563

Step 2: Count the remaining number of decimals place in both numbers (2.09 has 2 decimal place from right and 1.3 has 1 decimal place from right So remaining number of decimal place is 2-1 = 1).

Step3: Put decimal after same number of place from right that gives us 56.3
So 698.12 / 12.4 = 56.3

Got it!!!!!

   
Okies frndz, Hope you enjoyed this class also. Keep practice and we will come back with Real numbers in Next Class. Byee....


Er. Ankur Garg
garg.ankur6@gmail.com

Day 3: Fractions

Hello frndz,

Today we will learn about Fractions.

Any number in the form of a/b is a fractional number, where a is numerator and b is denominator.
Remember one thing, denominator can not be 0.

Two fractions are said to be equivalent if they represents the same number in their reduced form.
For eg. 8/36 and 14/63

To convert these in reduced form, divide each number by their HCF (Highest Common Factor). Let start with 8/36. HCF of 8/36 is 4 (8 = 2*2*2 and 36 = 2*2*3*3 SO in these number, 2*2 is common so HCF is 2*2 = 4).

Divide 8/36 by 4 (both numerator and denominator separably) So result is 2/9.
Same happen with 14/63 and result is 2/9.

Both represent the same number 2/9 so both are equivalent.


:- Addition and Subtraction: To add or subtract two fractional number, take the LCM of denominator. and Add or subtract numerator.
For eg  . 3/5 + 4/5
Denominators are 5 and 5 so LCM is 5.
So (3+4)/5 = 7/5

Again, 3/5 - 4/7
Denominators are 5 and 7 so LCM is 35. Now, 5 is 7 multiple of 35 and 7 is 5 multiple of 35.
So (3*7 - 4*5)/35 = 1/35


:- Multiplication and division of fractions:

1. To multiply two fractions, simply multiply both numerators and denominators.
For eg. 2/3 * 4/7
(2*4)/(3*7) = 8/21

2. To divide two fractions, find the reciprocal (a/b becomes b/a) of second fraction and multiply it with first one.
For eg. (2/3)/(4/7)
2/3 * 7/4 = 14/12
reduced form = 7/6


:- Mixed fractions: A number that consists of a whole number and a fraction is Mixed fraction.
For eg. 7(2/3)

To convert Mixed fraction into simple fraction, First find numerator by Multiply whole number with denominator and add it with numerator.
then find denominator that will be same.

For eg. 7(2/3) = (7*3 + 2)/3 = 23/3


Ok frndz, I hope you enjoyed this class. For any query, please post me a comment.
Next day, we will learn about Decimals.

Byee....


Er. Ankur Garg
garg.ankur6@gmail.com

Day 2: Properties of Integers

Hello frndz,

today we will start arithmetic. I would like to start with Integers and their properties.


:- All of us know that integer is any number like {.....-3,-2,-1,0,1,2,3.......}. Suppose x and y are integers and in the form of y = xn. then x will be a divisor of y and y will be a multiple of x.
For example 28 = 7*4, in which 7 and 4 are factors(divisors) of 28 and 28 is a multiple of 7 and 4.


:- when you divide 28 by 8 then quotient is 3 and remainder is 4. So 28 = 8*3 + 4.
In general, if you divide y by x and quotient is q and remainder is r then y = x*q + r
when remainder is 0 then x is a factor of y because it completely divides y.
Got it.......

:- Every integer that is divisible by 2 is an even integer and every integer that is not divisible by 2 is a odd integer. So 0,2,4,6.... are even integers and 1,3,5,7.... are odd integers.
Even and Odd integers can be negative numbers also.


:- even * even = even | even * odd = even | odd * odd = odd
   even + even = even | even + odd = odd | odd + odd = even
   even - even = even | even - odd = odd | odd - odd = even
 
In general, when multiply, if one of the number is even then result will be even else Odd.
when Add or Subtract, if both are either even or odd then result will be even else Odd.


:- A prime number is a positive number that has exactly two different positive divisors, 1 and itself.
For eg. 2,3,5.....   1 is not a prime number because it has only one divisor 1.

Let express 81 as a product of prime factors.
81 = 9*9
     = 3*3*9 (9 can be further divide into 3*3)
     = 3*3*3*3 (same happen with second 9)

So 81 = 3^4 (3 is to power 4) or 3*3*3*3


:- Numbers in a row known as consecutive numbers. For eg. 0,1,2,3,4......
It can represented as n, n+1, n+2, n+3........ where n is an integers.

Now, 0,2,4,6,8.... are even consecutive numbers and can be represented as 2n, 2n+2, 2n+4........
(hint: 2n is an even number and every alternative number after this known as even consecutive numbers)

Same as, 1,3,5,7..... are odd consecutive numbers and can be represented as 2n+1, 2n+3, 2n+5.......


:- If any number n multiply or divide by 1 then result will be same 'n'.
1*n = n and n/1 = n

if any number n except 0 divide by itself, it always gives 1.
n/n = 1, for all except 0.


:- The integer 0 is neither positive nor negative. If any number n add or subtract with 0, it always gives n.
and if any number n multiply with 0, it always be 0.
So n + 0 = n ; n - 0 = n ; n * 0 = 0
The division by 0 is not defined. n/0 = not defined. 




Ok frndz, hope all of you have fun with Integers. Next day we will learn about Fractions.
Bye....


Er. Ankur Garg
garg.ankur6@gmail.com

Introduction Class

Hello frndz,

I am back with GMAT prep course. This course is free to all and I can bet that Once you will cover all sessions, You will be able to score higher in GMAT (Quant Sections). All of us know that Quantitative aptitude is a key for MBA.
So we will start with a introductory session where we will get a idea of topics covered in GMAT.
Mainly, GMAT includes 4 sections and a lot of sub-sections.
1. Arithmetic
2. Algebra
3. Geometry
4. Word problems

Arithmetic - Properties of Integers, Fractions, Decimals, Real Numbers, Ratio and Proportion, percents, Power and Roots of Numbers, Descriptive Statistics, Sets, Counting Methods, Discrete Probability

Algebra - Simplifying algebraic expressions, Equations, Solving linear equations with one unknown, Solving two linear equations with two unknown, Solving equations by factoring, Solving Quadratic equations, Exponents, Inequalities, Absolute value, Functions

Geometry - Lines, Interesting lines and angles, Perpendicular lines, Parallel lines, Polygons, Triangles, Quadrilaterals, Circles, Rectangular Solids and Cylinders, Coordinate geometry

Word problems - Rate problems, Work problems, Mixture problems, Interest problems, Discount, Profit, Sets, Geometry problems, Measurement problems, Data Interpretation


As you have seen, all topics are same as we have already study in school. This is just elementary maths.
But here, we will learn how to solve these questions in lesser time. Because in GMAT, we have to solve 37 Question in 75 Minutes. On an average, you can afford to spend more than 2 min. each question.

To solve Quant section, I would like to recommend this strategy -

First 10 Questions : 20-25 Minutes
11-25 Questions   :  25 Minutes
26-37 Questions  :   25 Minutes

One of the advantage of this strategy is that Once you will complete your first round and if you feel that you are lacking in time, you can rush for second round. This will help you to manage timing that is the key point to remember on actual test day (D-Day).


Ok guys, thanx to join me and please send me your review on this class. We will meet again on tomorrow to start with Arithmetic.




@Ankur Garg
garg.ankur6@gmail.com