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Number Properties - Finding Last Two Digits


Cyclicity is nothing but pattern recognition. You see that when you multiply 2 by  itself, there is a pattern of last digit which goes 2, 4, 8, 6, 2, 4, 8, 6 and so on. We can use the same principle f...

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Number Properties - A Neat Remainders Shortcut


We firmly believe that teaching someone is a most productive learning for oneself and every now and then, something happens that strengthens this belief of ours. It’s the questions people ask – knowin...

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Number Properties - Rules of Rounding Decimals


You just slip to the side, and you look for a five. Well if the number that you see is a five or more, You gotta round up now, that’s for sure. If the number that you see is a four or less,

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Number Properties - GCF and LCM of Fractions


LCM of two or more fractions is given by: LCM of numerators/GCF of denominators. GCF of two or more fractions is given by: GCF of numerators/LCM of denominators.

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Number Properties - Sum/Product of Consecutive Integers


Say you have N consecutive integers (starting from any integer). What can you say about their sum? What can you say about their product? If N is odd then the sum of N consecutive integers

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Number Properties - Mathematical Operations on Terms with Remainders


Our Divisibility and Remainders module discusses all the concepts of this topic in detail. We have seen how to handle remainders with mathematical operations on terms.

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Number Properties - Recognising Patterns in Exponents


If you are hoping for a 700+ in GMAT, you need to develop the ability to recognize patterns. GMAT does not test advanced concepts but you can certainly get advanced questions on simple concepts.

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Number Properties - Divisibility + Odd/Even + Perfect Squares


We know how to deal with divisibility, odd-even concepts and perfect squares. Individually, each topic has very simple concepts but when they all come together in one question, it can be difficult

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Number Properties - Important Intervals on Number Line


Here is an oft repeated complaint we hear from test takers - Data Sufficiency questions on Number Properties are very difficult to handle (The problem solving questions are still manageable.)

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Number Properties - Some LCM/GCF Properties


Rule 1: Consecutive multiples of 'x' have a GCF of 'x'. Rule 2: The G.C.F of two distinct numbers cannot be larger than the difference between the two numbers. Two consecutive integers have GCF of 1

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