Prepositions in English display a powerful diversity of uses.  In previous preposition article, we talked about the proposition “from”.  Here, we will look, at the preposition “to.”   The preposition “to” The word “to” is a preposition.  This means, it must be followed by a noun — or by...

First, a hard Sentence Correct for practice. 1 The term “Immaculate Conception”, a doctrine that the Roman Catholic Church formally proclaimed in 1854, not referring to the conception of Jesus, which, according to Christianity, occurred miraculously despite his mother Mary being a virgin, but to the conception...

Fact: according to all mathematical definitions, the number 1 is not a prime number   Primes One definition of a prime number is: any number that has only two positive integer factors —- itself and 1.   The following are valid prime numbers. 2, 3, 5, 7, 11, 13, 17, 19, 23, 29...

Prepositions are perhaps the most versatile and powerful words in the English language.  What English does with prepositions is notoriously hard for non-native speakers to learn.   In this first “preposition idiom” article, we will look at the preposition “from.”   The preposition “from” The word “from” is a...

First, a practice problem. Remember, no calculator. I.  47/150 II. 111/330 III. 299/900 1) Rank those three in order from smallest to biggest. I, II, III I, III, II II, I, III II, III, I III, I, II   Number sense Many GMAT Quantitative Problems, like the foregoing one, test number sense.  What is number sense?  Number sense is a good...

First, a practice GMAT Sentence Correction question: 1) Because of Elnath Industries posting a second consecutive quarter of losses, its stocks tumbled 20% in the last three days. Because of Elnath Industries posting Because of Elnath Industries having posted Because Elnath Industries posting Because Elnath Industries posted Because Elnath Industries had been posting Because By...

Learn one of the handiest tricks for math without a calculator!   Without a calculator, what is 1. 35 x 12? 2. 150 x 36? 3. 125 x 84? On the GMAT, you don’t get a calculator. With the doubling and halving trick, all of these become much easier.   Thinking about multiplication Every positive integer...

First, a few practice questions. 1) Line A has the equation 3x + y = 7.  Which of the following lines is perpendicular to Line A? y = 3x + 4 y = –3x – 6 y = (1/3)x – 1 y = (–1/3)x + 2 y = (–7/3)x – 5 2)...

First, a few practice questions.  Remember — no calculator! 1) A radio station has to choose three days of the seven in a week to broadcast a certain program, and that set will repeat each week.  The program can be broadcast equally on any of the seven...

Friends, Romans, countrymen: it is time to learn about appositive phrases!  But first, a practice sentence. 1. Being America’s national bird, the Bald Eagle has little natural predators like the Great Horned Owl, and their population dwindling to almost nothing up to the point of DDT being...