Bo Wang (UVA)
GRE Math
Aug 2015
9 / 106
Example
x 3=1 Quantity A x Solution: x = 4 §±quantity Aåß¿A Quantity B 3
Bo Wang (UVA)
GRE Math
Aug 2015
10 / 106
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Bo Wang (UVA)
GRE Math
Aug 2015
16 / 106
Integers)Í
Integers)ÍßPositive Integers')ÍßNegative IntegersK)Í ÿ% ":µ '+' ='ß '*'='ßK +K=KßK *K='
Example 1
a,b,c are all integers, suppose a3 b 4 c 5 is negative then which of the following CANNOT be true? A a+b >0 B b+c >0 C a+c >0 D ac > 0 E abc > 0
Example 6
M If N 2 and 5 are both integers, which of the following expression must also be an integer? M A N+ 7 NM B 7
C D E
2 N +M 10 NM 10
N +M 2 5
Bo Wang (UVA)
GRE Quantitative Reasoning (Step 2)
Bo Wang
University of Virginia
Aug 2015
Bo Wang (UVA)
GRE Math
Aug 2015
1 / 106
Overview
1
Arithmetic Algebra Geometry Data Analysis Problem-solving Techniques
GRE Math
Aug 2015
23 / 106
decimals õ?õÍ
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Example 8
Which of the following fractions is equal to the repeating decimal 0.36363636 · · · 1 A 275 2 B 55 4 C 99 4 D 11 E 4 9
Bo Wang (UVA)
GRE Math
Aug 2015
Bo Wang (UVA)
GRE Math
Aug 2015
21 / 106
fractions©Í
fraction©Íßrational numbers knÍßirrational numbers *nÍß© fnumerator;©1denominatorßcommon denominator œ©ßreciprocal/ Í ÿ%":µ©Í!z{Üœ©
Bo Wang (UVA)
GRE Math
Aug 2015
7 / 106
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©Íz§)Íû^OéÏ kÅ)Íz§©Í£˛e”û¶±1000 · · · ¶%˛eC§)ͧ *ÅÃÇ)Í£ê?ÿ0. · · · !ú$§µÃÇ!kA†“3©1,A á9ßkA†v\\ÃÇ“,Aá0ß2^1'áÃÇ!±c!)Í‹© |§!ÍÜ)Í‹©•ÿÃÇ‹©|§!Í!'â©fßXµ 4 39 13 0. 4¯ 3 = 43 90 = 90 = 30 145 14 131 0.14¯ 5 = 900 = 900 5 544 272 0.549 = 549 990 = 990 = 495 *ÅÿÃÇ)Ívç{zè©Í
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Bo Wang (UVA)
GRE Math
Aug 2015
5 / 106
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Bo Wang (UVA)
GRE Math
Aug 2015
6 / 106
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Bo Wang (UVA)
GRE Math
Aug 2015
15 / 106
Arithmetic
1 2 3 4 5 6 7 8 9 10 11
Integers Factors and multiples quotients and reminders odd and even number prime and composite number fractions exponents and roots decimals real number ratio percent
GRE Math
Aug 2015
22 / 106
exponent and rootsçÍ⁄ä
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Example 7
Quantity A 9 18 Quantity B 1 12 ( 27 )
Bo Wang (UVA)
Bo Wang (UVA)
GRE Math
Aug 2015
18 / 106
Quotients and Remainders)Íë{ÿ{
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Example 2
Let S be the set of all positive integers n such that n2 is a multiple of both 24 and 108. Which of the following integers are divisor of every integer n in S? Indicate all such integers A 12 B 24 C 36 D 72
Bo Wang (UVA)
GRE Math
Aug 2015
17 / 106
Factors and Multiplesœf⁄0Í
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GRE Math
Aug 2015
13 / 106
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Bo Wang (UVA)
GRE Math
Aug 2015
14 / 106
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Bo Wang (UVA)
GRE Math
Aug 2015
2 / 106
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Bo Wang (UVA)
GRE Math
Aug 2015
19 / 106
odd and even number¤ÛÍ
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