Factors

Recall also that any perfect square has an odd number of factors. If there is an even number of even factors, that means there must be an odd number of odd factors. An odd number of odds added together will be odd. So the sum of the factors of the number will be even + odd = odd.

Refer to MGMAT CAT 5 Q 35. { revise before exam}

Perimeter

When we calculate the perimeter of a figure we should concentrate on the boundary layers not the inner ones.

See Ex MGMAT 4 , Q 12

Benchmarking

Benchmarking is an important technique - It helps to solve irritating decimal questions. Practice some of these kinds. It is definitely going to help you on the exam.

MEAN, Median

For any evenly spaced set, the mean of the set is always equal to the median. A set of consecutive integers is an example of an evenly spaced set. If we find the mean of this set, we will be able to find the median because they are the same.

This applies only for consecutive integers sets not for sets which contain multiples. Test the nos to prove & grasp

Strategy- DS

Remember, on data sufficiency GMAT questions, a definite "no" answer is sufficient, just as a definite "yes" answer is sufficient. A statement will be insufficient only when the answer is "maybe" or "it cannot be determined."

REVISION QUESTIONS

Q6, Quant, MGMAT CAT 4, Marble ratios

Q10, Quant, MGMAT CAT 4, Reverse Primes

Inequalities

While dealing with inequality questions:

1) If there is too much of a hastle testing values: Try to figure out the conceptual approach. Might help.

2) Generally, it is not a good idea to divide an equation or inequality by a variable since dividing by zero is illegal, and a variable might be equal to zero.

A quantity that is cubed retains its original sign: if it starts out positive, it remains positive and if it starts out negative, it remains negative.

Brahamastra

Keep Cool. Read Properly. KKEEP IT COOL

Decimals

tenths digit is the first digit to the right of the decimal point.

Similar Triangles

Triangles are defined as similar if all their corresponding angles are equal or if the lengths of their corresponding sides have the same ratios.

First, recall that in a right triangle, the two shorter sides intersect at the right angle.

if two similar figures have lengths in a given ratio (say A:B), then their areas will have a ratio that is the square of this length ratio (i.e.,A²:B²). Conversely, if the areas are in a given ratio, then the lengths will be in the square root of that ratio. ( Look at MGMAT CAT 4. q 19) Excellent example.

QUANTITY

QUANTITY STUFF:

Countable vs Non-Countable

Many Much

Few Less

Number Amount

Numerous Greater

Semicolon

SEMI COLON IS OFTEN FOLLOWED BY A CONJUCTIVE ADVERB:

• “HOWEVER”
• “THEREFORE”
• “IN ADDITION”

Wrong: Andrew and Lisa are inseparable, THEREFORE, we never see them apart

- THEREFORE needs a semi colon before it

Right: Andrew and Lisa are inseparable; THEREFORE, we never see them apart

Connecting words

Common Connecting Words:

Coordinating Conjunctions: FOR, AND, NOR, BUT, OR, YET, SO

Subordinators: ALTHOUGH, BECAUSE, BEFORE, AFTER, SINCE

WHO VS WHOM

- Use WHOM when referring to the object of the sentence:

Ex: This is the man whom I wanted to speak

- Change to question: “Who did I want to speak with?”

“I wanted to speak with HIM”

- Use WHO to refer to the subject of a verb

EX: I really hate the guy who stole my girlfriend

- Change to question: “Who stole my girlfriend?”

“HE stole my girlfriend”

Relative pronouns

WHICH  Modifies THINGS

THAT  CANNOT modify PEOPLE

WHO  Modifies PEOPLE

WHOSE  Can modify PEOPLE or THINGS

WHOM  Modifies PEOPLE

WHERE  Modifies a NOUN PLACE (area, city, state, region, etc)

WHEN  Modifies a NOUN TIME/EVENT (1800s, last decade, etc)

Pronoun Case:

Subject Pronouns- can be the subject of sentences

Ex: I, you, she, he, it, we, they who

“they arrived late”

Object Pronouns- can be the object of verbs

Ex: me, you, him, her, it, us, them, whom

“no one saw them or talked about them”

Possessive Pronouns- indicate ownership

Ex: my/mine, your/yours, his, her/hers, its, ours/our, whose

“Their presence went unnoticed”

Linking verbs

Linking Verbs: WATCH OUT- They are Parallel markers!

• To be
• Are
• Was
• Were
• Am
• Been
• Being
• Become
• Feel

Pronouns

SANAM Pronouns- Can be either Singular or Plural

Some
Any
None
All
More/Most

Conjunctive adverbs

Conjunctive Adverb (CA) -> Semicolon is often followed by a CA. In this way, we can modify the equal relationship that a bare semicolon implies. CA list: however, therefore, nonetheless, nevertheless, in addition. These CA must be preceded by a semicolon and not by a COMMA.

Geometry

Two tangents can always be drawn to a circle from any point outside the circle, and these tangents are equal in length .

Verb -To be

SC-Conditional forms

Conditional I: If…condition in present tense……result in present/future tense
Examples:
If you invest your capital in bonds, it generates income.
If you invest your capital in bonds, it will generate income.

Conditional II: if….condition in past tense….result in would + verb
Example:
If you invested your capital in bonds, it would generate income

Conditional III: if….condition in had+V3…..result in would+have+V3
Example:
If you had invested your capital in bonds, it would have generated income.

Note that the order of the “condition” part and the “result” part can be reversed, but the structure must remain the same. For example, we could invert the order of the second conditional example, and it is still correct, as long as we maintain form:

Your capital would generate income, If you invested it in bonds.

This is why it’s important to think in terms of “condition (if) part” and “result part” – not in terms of “first” and “second” parts.

Number Properties

Whole numbers are natural nos Union Zero.

Statistics

By definition, the median of the combined set (A) must be any value at or between the medians of the two smaller sets (B and C).

Look at the link for example:http://www.beatthegmat.com/manhattan-gmat-700-challenge-problem-august-7-2006-t357.html

Co-Ordinate Geometry

If the line has a negative slope, it passes through one of the following: II,I,IV ; II, III, IV; II, IV.

Alligation

The proportion needed of each starting percentage is the positive difference between the other 2 percentages.

Refer to the following link for examples : http://www.beatthegmat.com/mixture-t76266.html

Mean & Standard Deviation

1) If we multiply each element of a set by a common factor/ (or increase/decrease each element by fixed %) / ( increase/decrease each element by the same amount then):

New Mean or New SD = Old Mean or Old SD * common factor.

New Mean or New SD = Old Mean or old SD * (1+% increase/decrease)

New Mean or New SD = Old Mean or Old SD + increase/decrease in amount.