McGraw-Hill Education GRE 2019

Multiplication and Division When multiplying or dividing two terms, the result will be positive if the terms are the same sign ( ...

Many test-takers mistakenly assume that since a^4 > 0, a must be greater than zero. However, remember that even exponents hid ...

Finally, when testing numbers for Quantitative Comparison questions testing positives and negatives, you should always test at l ...

Exercise: Positives and Negatives Discrete Quantitative Questions If a < b < 0, then which of the following must be true? ...

If zx – a (^2) + 1 > 0, then which of the following must be true? A x > 0 B x < a C x > a D xa > 0 E x + a > ...

a b = 4 QUANTITY A QUANTITY B a b A B C D a b > 0 QUANTITY A QUANTITY B ab 0 A B C D p^2 q^3 >0 p^3 q^2 > 0 QUANTIT ...

Exercise Answers Discrete Quantitative Questions D Since a and b are negative, their product and quotient must be positive. Thu ...

C, D, and E If xy > 0, then x and y are both positive or both negative. If x and y are both negative, then x + y < 0. The ...

If bc > 0, then b and c must have the same sign. If ac < 0, then a and c must have different signs. Therefore, a and b mus ...

What is the average of x, x + 4, x + 8, x + 12, and x + 16? SOLUTION: Recognize that each term is 4 greater than the previous te ...

SOLUTION: Based on Property 4, you should multiply the average and the number of items in the set. From Property 2, you know tha ...

Exercise: Evenly Spaced Sets Discrete Quantitative Questions If the sum of four consecutive even integers is 44, what is the va ...

What is the sum of the multiples of 3 from 11–110, inclusive? A 1,980 B 2,057 C 3.228 D 4,573 E 6,050 For this question, write ...

In a series of twenty consecutive integers, the sum of the first two integers is 37. What is the sum of the last three integers ...

Exercise Answers Discrete Quantitative Questions B Let the smallest integer = x. Therefore: x + (x + 2) + (x + 4) + (x +6) = 44 ...

Plug these values into the formula: average × number of items = sum ↓ ↓ ↓ 60 × 33 = 1, 980 16 Though it might be difficult to s ...

The average of an evenly spaced set = the average of the endpoints. The endpoints of the set are 50 and 60. Their average is 50 ...

Subtract (8 + 9 + 10... 24) from both columns. The new comparison is: 25 versus (1 + 2 + 3 + 4 + 5 + 6 + 7). 1 + 2 + 3 + 4 + 5 + ...

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Part-to-Whole Relationships Study this chapter to learn about: ■ Fractions ■ Decimals ■ Percentages ■ Ratios T he following sect ...