![\"Manhattan](\"https:\/\/www.manhattanprep.com\/gmat\/wp-content\/uploads\/sites\/18\/2019\/02\/gmat-number-properties.png\")
<\/p>\n<\/p>\n
The best thing about GMAT Number Properties problems is that the numbers are nice and easy. There\u2019s no need to worry about fractions, decimals, or percents!<\/span><\/p>\n On the flip side, whoever writes GMAT Number Properties questions loves to make simple concepts seem complicated. <\/span>These problems are often written in \u201cGMAT code\u201d rather than plain English<\/span><\/a>, and to start solving them, you need to translate them first.<\/span><\/p>\n If you do these tricky Number Properties practice problems, you\u2019ll get to practice translating GMAT code, as well as working on some important math skills.<\/span><\/p>\n On the GMAT, Number Properties questions cover four broad categories. The first of those is divisibility and primes. Here are the key skills you\u2019ll need: <\/span><\/p>\n The next topic is remainders. Remainders aren\u2019t tested nearly as often as divisibility, although the two ideas are related! You should know:<\/span><\/p>\n GMAT Number Properties also covers odds and evens, and positives and negatives. These two topics go hand in hand. You\u2019ll need to know what happens when you add, subtract, multiply, and divide odd and even, or positive and negative, numbers. <\/span><\/p>\n Finally, combinatorics and probability are rare and challenging GMAT Number Properties problem types. We won\u2019t look at these problems here, because they\u2019re covered in <\/span>this article<\/span><\/a>. They\u2019re also rare and often difficult, which makes them great candidates for guessing!<\/span><\/p>\n If you need a refresher on the GMAT Number Properties rules and strategies, the <\/span>Number Properties Strategy Guide<\/span><\/a> is the first place to go. <\/span>Foundations of GMAT Math<\/span><\/a> also starts from scratch and covers the basics of divisibility. <\/span><\/p>\n These problems each test Number Properties topics, and each one contains some \u201cGMAT code\u201d that you\u2019ll need to translate. Go ahead and work through them now! If you\u2019re feeling brave, set a countdown timer for 12 minutes.<\/span> That\u2019s about how much time you\u2019d have for these on test day. <\/span><\/p>\n GMAT Number Properties: Divisibility, Primes, and Remainders<\/b><\/p>\n 1. Is <\/span>x<\/span><\/i>\/10 an integer?<\/span><\/p>\n (1)\u00a0<\/span>x<\/span><\/em>\/40 is an integer 2. If 1000 is divisible by 5<\/span>jk<\/span><\/i>, <\/span>j<\/span><\/i> and <\/span>k<\/span><\/i> are positive integers, and <\/span>j<\/span><\/i> > <\/span>k<\/span><\/i>, what is the largest possible value of <\/span>k<\/span><\/i>?<\/span><\/p>\n (A) 5 3. Is the number of students in a certain club divisible by 15?<\/span><\/p>\n (1) If the club were divided as evenly as possible into six teams, three of the teams would each have one extra student. GMAT Number Properties: Evens, Odds, Positives, and Negatives<\/b><\/p>\n 4. If <\/span>x<\/span><\/i> and <\/span>y<\/span><\/i> are positive integers, is <\/span>xy<\/span><\/i>+1 even?<\/span><\/p>\n (1)\u00a0<\/span>x <\/span><\/i>+ <\/span>y<\/span><\/i> is even 5. If<\/span> x<\/span><\/i> < 0 < <\/span>y<\/span><\/i>, which of the following must be negative?<\/span><\/p>\n (A) (<\/span>xy<\/span><\/i>)<\/span>\u00b2 6. If <\/span>abc<\/span><\/i> \u2260 0, is <\/span>ab<\/span><\/i> > 0?<\/span><\/p>\n (1)<\/span> ab<\/span><\/i>\u00b2<\/span>c<\/span><\/i> > 0 The secret to reviewing a GMAT Number Properties problem is to <\/span>break it into little pieces<\/b>. It\u2019s not (usually) the math that\u2019s tough. The challenge is figuring out what the GMAT is trying to tell you, and doing so quickly and calmly.<\/span><\/p>\n You might not understand every piece of a problem the first time you see it, especially if you\u2019re under pressure from using a timer. That\u2019s what the review process is for. Try to spot the little clues and pieces of information in each problem and analyze what each one means. Your goal is to find any pieces of this problem that you might be able to use to solve other, different problems in the future. <\/span><\/p>\n As always, <\/span>do as much of the hard work yourself as possible<\/b>. That means starting by reviewing your own work, <\/span>without<\/span><\/i> looking at the answers. Then, just check the answer to see if you got it right. If not, look at the problem one more time. Now that you know the answer, can you figure it out? <\/span><\/p>\nWhat Types of Problems Fall Under GMAT Number Properties? <\/b><\/h4>\n
\n
\n
GMAT Number Properties Practice Questions<\/b><\/h4>\n
\n<\/span>(2)<\/span> x<\/span><\/i>\/5 is an integer<\/span><\/p>\n
\n<\/span>(B) 8
\n<\/span>(C) 10
\n<\/span>(D) 20
\n<\/span>(E) 50<\/span><\/p>\n
\n<\/span>(2) The club can be evenly divided into teams of five students each, with no students left over. <\/span><\/p>\n
\n<\/span>(2) 3<\/span>x<\/span><\/i> is odd<\/span><\/p>\n
\n<\/span>(B)<\/span> x<\/span><\/i>\u00b2<\/span> y
\n<\/span><\/i>(C)<\/span> x<\/span><\/i> + <\/span>y
\n<\/span><\/i>(D)<\/span> x<\/span><\/i>\u00b2<\/span> + <\/span>xy
\n<\/span><\/i>(E)<\/span> xy<\/span><\/i>\u00b2<\/span><\/p>\n
\n<\/span>(2) abc<\/span><\/i>\u00b2<\/span> > 0<\/span><\/p>\nHow to Review GMAT Number Properties Questions<\/b><\/h4>\n
\n
Explanations<\/b><\/h4>\n