GRE: Number System

  Natural Numbers:- These are the numbers (1,2,3 etc) that are used for counting. In other words, all positive integers are natural numbers. Prime Numbers:- A natural number larger than unity is a prime number if it does not have other divisors except for itself & unity. Whole Numbers:- The set of numbers that includes […]

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Lines, Angles and Triangles

Conditions of similarity:-   AAA Similarity:- If in two triangles, corresponding angles are equal, then triangles are similar.             If ∠A = ∠P , ∠B = ∠Q , ∠C = ∠R Then △ABC ~ △ PQR SSS Similarity:- If the corresponding sides of two triangles are proportional then they are […]

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GRE: Quadratic Equation

If you set the polynomial equal to zero, where a, b and c are constants and a ≠ 0 , there is a special name for it. It is called a quadratic, You can find the values for x that make the equation true. Example:      To find the solutions, also called roots of […]

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GRE: Solving Inequalities

Inequalities may be written with the symbols Shown here:- A range of values is often expressed on a number line. Two ranges are shown below:- a) Represents the set of all numbers between -4 and 0 excluding the endpoints -4 and 0 or -4< x < 0 b) Represents the set of all numbers greater […]

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GRE: Permutation AND Combination

Permutation and Combination In this chapter, we shall learn about some basic counting techniques which will be useful in determining the number of different ways of arranging and selecting objects without actually listing them. Multiplication principle- Suppose student Mohan has 3 pants and 2 shirts. How many different pairs of a pant and shirt can […]

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CHAPTER 30 on Vocabulary

DISQUIET (Verb) Meaning- to make (someone) worried or nervous. Synonym- DISCOMPOSE, PERTURB Uses- In the exam, I was disquieted by the strange noises we herd outside our school. DISQUIET (Noun) Meaning- A feeling of worry (or Nervousness) or lack of peace (or tranquility). Synonym- ANXIETY Uses- There is increasing public disquiet about the number of […]

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CHAPTER 29 on Vocabulary

DISABUSE (Verb) Meaning- Free someone from a mistake in thinking. Uses- Do you really believe that toilets flush one way in the Northern hemisphere and another way in the Southern hemisphere? Any physicist would be happy to disabuse you of that silly notion.   DISCERN (Verb) Meaning-  1) to see, recognize or understand something that […]

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CHAPTER 28 on Vocabulary

DIATRIBE (Adj.) Meaning- bitter scolding or piece of writing that strongly criticizes someone or something. Mnemonic trick- The word diatribe contains word ‘tribe’. If you speak something against any tribe or quota for schedule tribe. Definitely, tribe will launch a diatribe against you. Therefore, diatribe means bitter scolding or piece of writing that strongly criticizes […]

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CHAPTER 27 on Vocabulary

DERIDE (Adj.) Meaning- 1) to write or to talk about another person, or something in a very critical or insulting way. 2) to say that someone or something is of no value or is ridiculous. Mnemonic trick- The word deride can be memorized by thinking that it is made up of two words ‘de’ and […]

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CHAPTER 26 on Vocabulary

DELINEATE (Verb) Meaning- to describe, show or explain something in detail. Mnemonic trick- The word delineate contains word deli and eat. Deli sounds similar to Delhi. My parents clearly delineated what to eat and what not to eat in the crowded market of Delhi. Therefore, delineate means to explain or describe something in detail. Synonym- […]

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