McGraw-Hill Education GRE 2019

Exercise Answers D Plug in numbers: a = 1 A B B A Comparison 10(1)^2 = 10 10(–1)^2 = + 10 25(1)^3 = 25 a = –1 25(–1)^3 = – 25 ...

C Make the columns comparable by manipulating Quantity A to be a fraction. 0.25 =^14. 15% = 10015 = 203. The value in Quantity ...

14. A Don’t calculate! Identify what the quantities have in common. Since both quantities share the product (5 × 6 × 7 ×... 24), ...

PART 4 Math Review CHAPTER 9 Number Properties CHAPTER 10 Part-to-Whole Relationships CHAPTER 11 Algebra CHAPTER 12 From Words t ...

This page intentionally left blank ...

Number Properties Study this chapter to learn about: ■ Factors and multiples ■ Odds and evens ■ Positives and negatives ■ Evenly ...

The multiples of an integer are the products that result when that integer is multiplied by another integer. For example, the mu ...

240 120 3 5 2 2 60 2 30 2 15 The prime factorization of 240 is thus: (2^4 ) × 3 × 5. From Property 2 earlier, you can infer that ...

You can therefore infer that y has 2, 2, and 3 in its prime factorization. Since y has 2 × 2 in its prime factorization, y must ...

Since x is a multiple of 9, x must have two 3s in its prime factorization. Thus x = 3 × 3.... Since x is a multiple of 12, x mus ...

When x is divided by 6, the remainder is 2. Which of the following could be a value of x? A 10 B 12 C 14 D 16 E 18 SOLUTION: Exp ...

Exercise: Factors and Multiples Discrete Quantitative Questions For each question, select one answer, unless the instructions st ...

Quantitative Comparison Questions Each of the following questions consists of two quantities, Quantity A and Quantity B. You are ...

Exercise Answers Discrete Quantitative Questions C Determine the prime factorization of each of the numbers. 16 = 2 × 2 × 2 × 4 ...

prime factors of 6 and 8. Though a could equal 6 × 8 = 48, a must equal the LCM of 6 and 8, which is 24. Since a must be a multi ...

Addition and Subtraction Property 1: In addition or subtraction, the result will be even if the numbers being added or subtracte ...

Look at each term separately: you don’t know whether 3x is odd or even, since you don’t know whether x is odd or even. However, ...

Exercise: Odds and Evens Discrete Quantitative Questions If x is an integer, and 3x^2 is even, then which of the following must ...

If x and y are both integers and x(y +3) is odd, then which of the following must be true? A x is even B y is even C xy is odd ...

Choice E: If x is 2, then x^2 = 4. 4 is a multiple of 4. If x is 8, then x^2 = 64. 64 is a multiple of 4. Both cases lead to the ...